Easy Finite Math Problems

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Mathematics

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Need assistance in completing only 6 problems for Finite math subject.

Attached is the document to view the world problems, please be sure to show all work and steps, and not just the answers.

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Due date is 10/08/2017 before 12:00AM

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Math Questions 1. The following table is the final distribution of grades in the introductory economics course at a local university: Grades Number of Students 50 - 59 7 60 - 69 4 70 – 79 10 80 - 89 14 90 - 99 5 a. How many classes are there in the class? 5 b. What percentage of the students scored at least 70 in the test? c. Draw a histogram of the scores. d. Estimate the mean score. 2. The following data represent a sample of the ages of individuals working at a telephone crisis center. 33, 40, 35, 24, 31, 32, 45, 23, 45, 34, 34, 54, 25, 36, 38, 44, 62, 31, 56, 47, 30, 42, 43, 52, 48, 56, 64, 40, 61, 39, 29, 34, 37, 43, 47, 32, 45, 27, 35, 29 a. Construct a box and whisker plot. What can you say about the data based on this plot? b. Does this data satisfy the empirical rule (68%-95%-99.7% rule)? 4. The average annual salary of 15 employees at a certain manufacturing plant is $36,500 and the median salary is $32,250. If the highest paid employee received a raise of $3,560, a. what is the new average salary for the 15 employees? b. what is the new median salary for the 15 employees? 5. A box contains eight golf balls. Four of these balls are not perfectly round. If three balls are randomly selected without replacement, what is the probability that at least one is not perfectly round? 6. If the mean salary of 18 men in a certain manufacturing plant is $45,000 and the mean salary of 12 women in the same plant is $38,000, what is the mean salary of all the 30 employees? 8. If P(A) = .70; P(B) = .30, and P(A and B) = .20, find the following probabilities. a. P( A or B) b. P( A | B )
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Explanation & Answer

Here is my answer :)

Math Questions
1. The following table is the final distribution of grades in the introductory
economics course at a local university:
Grades
Number of Students
50 - 59
7
60 - 69
4
70 - 79
10
80 - 89
14
90 - 99
5
a. How many classes are there in the class?
The number of classes are 5
b. What percentage of the students scored at least 70 in the test?
𝑝=

10 + 14 + 5
= 72.5%
40

c. Draw a histogram of the scores.

d. Estimate the mean score.
Grades
50-59
60-69
70-79
80-89
90-99

Number of Students
7
4
10
14
5

Mid-point (x)
55
65
75
85
95
S

f*x
385
260
750
1190
475
3060

∑𝑓 ∗ 𝑥
∑𝑓
3060
𝑀𝑒𝑎𝑛 =
40
𝑴𝒆𝒂𝒏 = 𝟕𝟔. 𝟓

𝑀𝑒𝑎𝑛 =

2. The following data represent a sample of the ages of individuals working at a
telephone crisis center.
33, 40, 35, 24, 31, 32, 45, 23, 45, 34, 34, 54, 25, 36, 38, 44, 62, 31, 56,
47, 30, 42, 43, 52, 48, 56, 64, 40, 61, 39, 29, 34, 37, 43, 47, 32, 45, 27,
35, 29
a. Construct a box and whisker plot. What can you say about the data based
on this plot?
23, 24, 25, 27, 29, 29, 30, 31, 31, 32, 32, 33, 34, 34, 34, 35, 35, 36, 37, 38, 39, 40,
40, 42, 43, 43, 44, 45, 45, 45, 47, 47, 48, 52, 54, 56, 56, 61, 62, 64
The median is Q2 = (38 + 39)/2 = 38.5
23, 24, 25, 27, 29, 29, 30, 31, 31, 32, 32, 33, 34, 34, 34, 35, 35, 36, 37, 38
The quartile 1 is Q1 = (32 + 32)/2 = 32
39, 40, 40, 42, 43, 43, 44, 45, 45, 45, 47, 47, 48, 52, 54, 56, 56, 61, 62, 64
The quartile 3 is Q3 = (45 + 47)/2 = 46

b. Does this data satisfy the empirical rule (68%-95%-99.7% rule)?
The mean is 40.05, and the standard deviation is 10.66
Mean ± (k x Std. Dev)
40.05 ± (1 x 10.66)
40.05 ± (2 x 10.66)
40.05 ± (3 x 10.66)

Interv...


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