Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standar deviation of 7.5. Find the following probabilities, round to the fourth. a) What is the probability 13 randomly chosen scores had an average greater than 75 Would it be unusual or usual for this to happen? Select an answer ✓ b) What is the probability 8 randomly chosen scores had an average less than 65 Would it be unusual or usual for this to happen? Select an answer ✓

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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**Question 5**

Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 7.5. Find the following probabilities, rounding to the fourth decimal.

a) What is the probability 13 randomly chosen scores had an average greater than 75?  
[Input text box for answer]

Would it be unusual or usual for this to happen?  
[Dropdown menu to select an answer: Unusual or Usual]

b) What is the probability 8 randomly chosen scores had an average less than 65?  
[Input text box for answer]

Would it be unusual or usual for this to happen?  
[Dropdown menu to select an answer: Unusual or Usual]
Transcribed Image Text:**Question 5** Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 7.5. Find the following probabilities, rounding to the fourth decimal. a) What is the probability 13 randomly chosen scores had an average greater than 75? [Input text box for answer] Would it be unusual or usual for this to happen? [Dropdown menu to select an answer: Unusual or Usual] b) What is the probability 8 randomly chosen scores had an average less than 65? [Input text box for answer] Would it be unusual or usual for this to happen? [Dropdown menu to select an answer: Unusual or Usual]
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