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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...