Suppose 15% of adults in a certain country work from home. 1) If we want to find the probability that fewer than 60 out of a random sample of 500 adults will work from home, a) What is the associated z-score (to 2 decimals)? 60 b) What is the probability? P( p < 500 (Round to 4 decimals.) 2) If we want to find the probability that more than 100 out of a random sample of 500 adults will work from home, a) What is the associated z-score (to 2 decimals)? 100 b) What is the probability? P( ê > 500 (Round to 4 decimals.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose 15% of adults in a certain country work from home.

1) If we want to find the probability that fewer than 60 out of a random sample of 500 adults will work from home,
   
   a) What is the associated z-score (to 2 decimals)? ______

   b) What is the probability? \( P\left( \hat{p} < \frac{60}{500} \right) \) = ______ (Round to 4 decimals.)

2) If we want to find the probability that more than 100 out of a random sample of 500 adults will work from home,

   a) What is the associated z-score (to 2 decimals)? ______

   b) What is the probability? \( P\left( \hat{p} > \frac{100}{500} \right) \) = ______ (Round to 4 decimals.)
Transcribed Image Text:Suppose 15% of adults in a certain country work from home. 1) If we want to find the probability that fewer than 60 out of a random sample of 500 adults will work from home, a) What is the associated z-score (to 2 decimals)? ______ b) What is the probability? \( P\left( \hat{p} < \frac{60}{500} \right) \) = ______ (Round to 4 decimals.) 2) If we want to find the probability that more than 100 out of a random sample of 500 adults will work from home, a) What is the associated z-score (to 2 decimals)? ______ b) What is the probability? \( P\left( \hat{p} > \frac{100}{500} \right) \) = ______ (Round to 4 decimals.)
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