X is a normally distributed variable with mean u = 30 and standard deviation o = 6. Find the following: (Round to three decimal places)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Question 7**

X is a normally distributed variable with mean \( \mu = 30 \) and standard deviation \( \sigma = 6 \). Find the following: (Round to three decimal places)

1. \( P(x < 40) \) 
2. \( P(x > 21) \)
3. \( P(30 < x < 35) \)

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**Question 8**

Entry to a certain university is determined by a national test. The scores on this test are normally distributed with a mean of 110. Alton wants to be admitted to this university and he knows that he must score better than [75th percentile mentioned but text incomplete].

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Transcribed Image Text:**Question 7** X is a normally distributed variable with mean \( \mu = 30 \) and standard deviation \( \sigma = 6 \). Find the following: (Round to three decimal places) 1. \( P(x < 40) \) 2. \( P(x > 21) \) 3. \( P(30 < x < 35) \) --- **Question 8** Entry to a certain university is determined by a national test. The scores on this test are normally distributed with a mean of 110. Alton wants to be admitted to this university and he knows that he must score better than [75th percentile mentioned but text incomplete]. --- **Instructions** Click Save and Submit to save and submit. Click Save All Answers to save all answers.
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