Question

1. Given the data set: 40, 40, 35, 48, 38, 40, 36, 50, 32, 36, 40, 35, 30, 24, 40, 36, 40, 39, 33, 40, 32, 38, construct an appropriate frequency distribution table and draw a frequency histogram, frequency polygon, and ogive. number of classes =5

2. Use the following table to find the following probabilities:

Nursing Majors Non-Nursing Majors

Total Males 94 1104 1198

Females 725 1682 2407

Total 819 2786 3605

a. The student is male or a nursing major. b. The student is female or not a nursing major. c. The student is not female or is a nursing major.

3. Find the mean, variance, and standard deviation of the discrete probability distribution:

Cell phones 0 1 2 3 4 5 6

Probability .020 .140 .272 .292 .168 .076 .032

Answer 1

2) a) Total number of students = 3605

So Probability that a student is a male or a nursing major =

Total number of students who are atleast male or a nursing major = 1198+819-94 = 1923

So required probability = 1923/3605 = 0.5334

b) Probability that a student is female or not a nursing major=

Total female = 2407 Total non nursing major = 2786

Students who are both female and non nursing major = 1682

The Total number of students who are atleast female ot atleast a non nursing major = 2407+2786-1682

= 3511

Required Probability = 3511/3605 = 0.9739

c) Probability that a student is not a female( we can say is a male) or is a nursing major =

Total students who are atleast male or atleast a nursing major = 1198+819-94 = 1923

Required Probability = 1923/3605 = 0.533