20 question homework assignment

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nzrrenuznq99

Mathematics

mth 139

Moraine Valley Community College

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I would like all of this answered with work because i need to figure out how to solve all of this

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Use the following to answer questions #5-8: The table shows the results of a survey that asked people whether they are involved in any type of charity work. A person is selected at random from the sample. Not at all Frequently Occasionally Male 220 480 900 Female 300 560 850 9 5. The probability the person is frequently or occasionally involved in charity work is: 6. The probability the person is male given that the person is frequently involved in charity work is: 220 1570 2 7. The probability the person is female and frequently involved in charity work is: 30 20 520 good Dan 8. Are the events "the selected person is male” and “the selected person is frequently involved in charity work” independent or dependent? 9. Which of the following could not represent a correlation coefficient? A) -0.902 B) 0.887 () C) -1.045 D) 0.023 10. If you roll a fair die, what is the probability of getting a number less than 3 or odd numbers ? 2 or 3/6 4% 12 939 2/3 3 11. Given the equation of a regression line is, y=-5.4 +3.5x , what is the best predicted value for y given x = -1.2? Assume that the variables x and y have a significant correlation. 12. Given the equation of a regression line is y = -3.2219 +0.0114x, determine whether there is a positive linear correlation or a negative linear correlation. A) positive linear correlation B) negative linear correlation yo noon and 13. In the scatterplot below, what is the approximate value for y when x=8? Fill in the blank below. 70 60 50 40 30 20 10 0 0 2 4 6 8 10 Approximate value for y when x = 8 is 2) 21 She boss For the following questions circle your answer and show all work. Solutions without work or reasoning may not receive credit. 14. A multiple choice quiz has three questions, each with five answer choices. One answer is correct. You have no idea what the answer is to any question and have to guess each answer. a) Find the probability of answering the first question correctly and all of the remaining CO questions incorrectly. CHERRY b) Find the probability of answering none of the questions correctly. c) Find the probability of answering at least one question correctly. 15. (5 points) If a single fair 6 sided die is rolled 3 times, what is the probability it will land on a 3, then on a 2, and then on a 3 again? Hyukse Kwon Name: For multiple choice question or fill in the blank questions, circle the correct answer. It is not necessary to show your work for multiple choice questions, however you MUST show your work for any short answer question or you may not receive credit. Unless otherwise indicated, each multiple choice/short answer question is worth 3 points. For the standard normal distribution, the mean is: 1. 2. For the standard normal distribution, the standard deviation is: 3. If the area to the right of Z under the standard normal curve is 0.52, then z must be: a) positive b) negative c) zero d) none of these obra 4. In general, a normal distribution has which of the following properties? dongan a) the mean and the median are approximately the same shovel on is b) bell shaped and symmetric c) the total area under the curve is 1 d) all of the above golo de NEXT X90XX)9 SV Use the following to answer questions 5-10. Suppose that 60% of adults say cashews are their favorite kind of nut. You randomly select 10 adults and ask each to name his or her favorite nut. 5. What is the probability exactly seven of the people selected say that cashews are their favorite kind of nut? 6. What is the probability more than six of the people selected say that cashews are their favorite kind of nut? 7. What is the probability three or less of the people selected say that cashews are their favorite kind of nut? 8. What is the probability that between seven and nine (inclusive) of the people selected say that cashews are their favorite kind of nut? 9. What is the probability six or less of the people selected say that cashews are their favorite kind of nut? 10. Which of the following is equivalent to the probability that more than 8 people say cashews are their favorite kind of nut? DO NOT FIND THE PROBABILITY. a) P(X58) b) PCX = 9) + P( X = 10 ) + P( X = 11 ) + P( X = 12 ) c) P( X = 9 ) + P( X = 10) d) All of the above None of these + e) Use the following to answer questions #5-8: The table shows the results of a survey that asked people whether they are involved in any type of charity work. A person is selected at random from the sample. Not at all Frequently Occasionally Male 220 480 900 Female 300 560 850 9 5. The probability the person is frequently or occasionally involved in charity work is: 6. The probability the person is male given that the person is frequently involved in charity work is: 220 1570 2 7. The probability the person is female and frequently involved in charity work is: 30 20 520 good Dan 8. Are the events "the selected person is male” and “the selected person is frequently involved in charity work” independent or dependent? 9. Which of the following could not represent a correlation coefficient? A) -0.902 B) 0.887 () C) -1.045 D) 0.023 10. If you roll a fair die, what is the probability of getting a number less than 3 or odd numbers ? 2 or 3/6 4% 12 939 2/3 3 Hyukse Kwon Name: For multiple choice question or fill in the blank questions, circle the correct answer. It is not necessary to show your work for multiple choice questions, however you MUST show your work for any short answer question or you may not receive credit. Unless otherwise indicated, each multiple choice/short answer question is worth 3 points. 1. For the standard normal distribution, the mean is: 2. For the standard normal distribution, the standard deviation is: 3. If the area to the right of Z under the standard normal curve is 0.52, then z must be: a) positive b) negative c) zero d) none of these 4. In general, a normal distribution has which of the following properties? donar a) the mean and the median are approximately the same stove b) bell shaped and symmetric c) the total area under the curve is 1 d) all of the above Use the following to answer questions 5-10. V Suppose that 60% of adults say cashews are their favorite kind of nut. You randomly select 10 adults and ask each to name his or her favorite nut. 5. What is the probability exactly seven of the people selected say that cashews are their favorite kind of nut? nown 6. What is the probability more than six of the people selected say that cashews are their favorite kind of nut? OYSTEM 7. What is the probability three or less of the people selected say that cashews are their favorite kind of nut? 8. What is the probability that between seven and nine (inclusive) of the people selected say that cashews are their favorite kind of nut? 9. What is the probability six or less of the people selected say that cashews are their favorite kind of nut? 10. Which of the following is equivalent to the probability that more than 8 people say cashews are their favorite kind of nut? DO NOT FIND THE PROBABILITY. a) P(X58) b) P( X = 9) + P( X = 10 ) + P( X = 11 ) + P( X = 12 ) c) P(X = 9) + P( X = 10 ) d) All of the above e) None of these nd Use the following information for questions 11 through 15. A survey was conducted to measure the height of US men. In the survey, respondents were grouped by age. In the 20-29 age group, the heights were normally distributed with a mean of 69.6 inches and a standard deviation of 3.0 inches 11. What is the probability of selecting a man aged 20-29 who is less than 70 inches tall? 12. Based on this data what percentage of men aged 20-29 would be taller than 6 feet (72 inches)? 13. What height represents the 80th percentile? 14. Fill in the blank: Approximately 5% of men aged 20-29 are taller than inches. 15. (2 points) Using a z-score, sketch a picture of the standard normal curve and shade the area which is equivalent to "The percentage of men aged 20-29 who are less than 68” tall”. For the following questions circle your answer and show all work. Solutions without work or reasoning may not receive credit. 14. A multiple choice quiz has three questions, each with five answer choices. One answer is correct. You have no idea what the answer is to any question and have to guess each answer. a) Find the probability of answering the first question correctly and all of the remaining questions incorrectly. b) Find the probability of answering none of the questions correctly. c) Find the probability of answering at least one question correctly. 15. (5 points) If a single fair 6 sided die is rolled 3 times, what is the probability it will land on a 3, then on a 2, and then on a 3 again? 16. Given the following probability distribution, fill in the missing probability:hanolo 2 3 1 0 Outcomes ???? 0.01 Probabilities 0.25 0.65 The missing probability is: 17. Suppose X follows a normal distribution with a mean of 120 and a standard deviation of 8. Sketch the picture and shade the region under the curve which would represent the probability X is larger than 130. Escola 67 ad blowes-OS Soling bino ind nie
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28 Questions Homework Assignment

1. For the standard normal distribution, the mean is: zero
2. For the standard normal distribution, the standard deviation is: one
3. If the area to the right of z under the standard normal curve is 0.52, then z must be:
negative
4. In general, a normal distribution has which of the following properties?
a) the mean and the median are approximately the same
b) bell shaped and symmetric
c) the total are under the curve is 1
d) all of the above
The answer is option d “all of the above.” A normal distribution has area equal to 1, it is
bell shaped and symmetrical, and the mean and median are the same.

Use the following to answer questions #5-8
The table shows the results of a survey that asked people whether they are involved in any
type of charity work. A person is selected at random from the sample.
Male
Female
Total

Frequently
220
300
520

Occasionally
480
560
1040

Not at all
900
850
1750

Total
1600
1710
3310

5. The probability the person is frequently or occasionally involved in charity work is:
𝑃=

520 1040
+
3310 3310
𝑷 = 𝟎. 𝟒𝟕

6. The probability the person is male given that the person is frequently involved in charity
𝑃=

220
520

𝑷 = 𝟎. 𝟒𝟐
7. The probability the person is female and frequently involved in charity work is:
𝑃=

300
3310

𝑷 = 𝟎. 𝟎𝟗

8. Are the events “the selected person is male” and “the selected person is frequently
involved in charity work” independent or dependent?
P = 220/3310
𝑃(𝑚𝑎𝑙𝑒) =

1600
3310

𝑃(𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑙𝑦 𝑖𝑛𝑣𝑜𝑙𝑣𝑒𝑑) =

520
3310

𝑃(𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑙𝑦 𝑖𝑛𝑣𝑜𝑙𝑣𝑒𝑑) ∗ 𝑃(𝑚𝑎𝑙𝑒) = 0.076 ≠ 0.066 𝑠𝑜 𝑡ℎ𝑒𝑦 𝑎𝑟𝑒 𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡

9. Which of the following could not represent a correlation coefficient?
The correlation coefficient is a value between -1 and 1. Then the value that could not
represent a correlation coefficient is -1.045
10. If you roll a fair die what is the probability of getting a number less than 3 or odd
numbers?
𝑁𝑢𝑚𝑏𝑒𝑟𝑠 𝑙𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 3 {1,2}
𝑂𝑑𝑑 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 {1,3,5}
𝑃=

4
= 0.67
6

11. Given the equation of a regression line is y=-5.4 + 3.5x what is the best predicted value
for y given x=-1.2? Assume the variables x and y have a significant correlation.

𝑦 = −5.4 + 3.5𝑥
𝑦 = −5.4 + 3.5 ∗ (−1.2)
𝑦 = −9.6
12. Given the equation of a regression line is y = -3.2219+0.014x, determine whether there
is a positive linear correlation or a negative linear correlation.
Since the x value is positive, there is a positive linear correlation.
13. In the scatterplot below what is the approximate value for y when x = 8?
From the scatterplot the value will be 50.
For the following questions circle your answer and show all work. Solutions without work
or reasoning may not receive credit.
14. A multiple choice quiz has three questions, each with five answer choices. One answer
is correct. You have no idea what the answer is to any question and have to guess each
answer.
a) Fin the probability of answering the first question correctly and all of the remaining
questions incorrectly.
Let x be the number of correct answers
P(corre...


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