A computer selects a number X from 2 to 7 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-U b. Suppose that the computer randomly picks 35 such numbers. What is the distribution of a for this selection of numbers. - N c. What is the probability that the average of 35 numbers will be more than 4.4?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 38E
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A computer selects a number X from 2 to 7 randomly and uniformly. Round all answers to 4 decimal places
where possible.
a. What is the distribution of X? X-U(
b. Suppose that the computer randomly picks 35 such numbers. What is the distribution of a for this
selection of numbers. - N(
C. What is the probability that the average of 35 numbers will be more than 4.4?
Hint:
Some Helpful Videos:
• Finding the Sampling Distribution [+]
• Finding a Probability Using the Central Limit Theorem [+1
• Finding Value Given a Probability Using the Central Limit Theorem [+]
• The Central Limit Theorem For Sums [+]
Hint
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Transcribed Image Text:A computer selects a number X from 2 to 7 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-U( b. Suppose that the computer randomly picks 35 such numbers. What is the distribution of a for this selection of numbers. - N( C. What is the probability that the average of 35 numbers will be more than 4.4? Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+1 • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums [+] Hint Submit Question
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