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4.) A bag contain many hats of several colors. 100 drawns are made from this bag with replacement. Suppose the expected number of red hats is 40 and the standard error is 5. What is the chance, in percent, of drawing between 30 and 50 red hats? Your answer should be a whole with no dr imala into

4.) A bag contain many hats of several colors. 100 drawns are made from this bag with replacement. Suppose the expected number of red hats is 40 and the standard error is 5. What is the chance, in percent, of drawing between 30 and 50 red hats? Your answer should be a whole with no dr imala into

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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4.) A bag contain many hats of several colors. 100 drawns are made from this bag with replacement. Suppose the expected number of red hats is 40 and the standard error is 5. What is the chance, in percent, of drawing between 30 and 50 red hats? Your answer should be a whole integer with no decimals. Answer to correct wording problem. Since 30 and 50 is 2 standard errors(5) from 40, from the Ztable gives 95%: Here's how: Z1 = (30-40)/5 = -2.0 Z2 (50-40)/5 = 2.0 = P(30 < x <= 50) = P(-2.0 <= z <= 2.0) = 0.9772 -0.0228 = 0.9544 = 95% 4) You play a game with your friend in which a die is rolled. If any of the numbers 1,2,3 or 4 show up, your friend takes two dollars from you. If either 5 or 6 show up, you take six dollars from your friend. If you play this game 12 times, your expected value for net gain is dollars. Hint: Your answer should be a whole integer with no decimals.
Transcribed Image Text:4.) A bag contain many hats of several colors. 100 drawns are made from this bag with replacement. Suppose the expected number of red hats is 40 and the standard error is 5. What is the chance, in percent, of drawing between 30 and 50 red hats? Your answer should be a whole integer with no decimals. Answer to correct wording problem. Since 30 and 50 is 2 standard errors(5) from 40, from the Ztable gives 95%: Here's how: Z1 = (30-40)/5 = -2.0 Z2 (50-40)/5 = 2.0 = P(30 < x <= 50) = P(-2.0 <= z <= 2.0) = 0.9772 -0.0228 = 0.9544 = 95% 4) You play a game with your friend in which a die is rolled. If any of the numbers 1,2,3 or 4 show up, your friend takes two dollars from you. If either 5 or 6 show up, you take six dollars from your friend. If you play this game 12 times, your expected value for net gain is dollars. Hint: Your answer should be a whole integer with no decimals.
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