Suppose that the height of women in Dakar, Senegal is normally distributed with mean 58 inches and standard deviation 5 inches. a) Determine the heights of the tallest 10% of women. b) Determine the probability of randomly selecting a woman who is shorter than 50 inches. c) What is the probability of randomly selecting a sample of 25 women who have an average height between 56 and 60 inches? d) Determine the probability of randomly selecting a woman who is shorter than 60 inches given that she is taller than 54 inches

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
icon
Related questions
Question
 
Suppose that the height of women in Dakar, Senegal is normally distributed with mean 58 inches and standard deviation 5 inches.

a) Determine the heights of the tallest 10% of women.

b) Determine the probability of randomly selecting a woman who is shorter than 50 inches.

c) What is the probability of randomly selecting a sample of 25 women who have an average height between 56 and 60 inches?

d) Determine the probability of randomly selecting a woman who is shorter than 60 inches given that she is taller than 54 inches.

Expert Solution
Step 1

Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want solutions for other parts also, then you have to make a separate request.

Given information

Mean µ = 58

Standard deviation σ = 5

Statistics homework question answer, step 1, image 1

 

Step 2

b)

Probability of randomly selecting a woman who is shorter than 50 inches is given by

Statistics homework question answer, step 2, image 1

Statistics homework question answer, step 2, image 2

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning