C. Calculate the standard deviation of this distribution by hand, correct to 4 decimal places. d. If you and I each roll one of these weighted dice, what is the probability that the sum is 14? e. If you roll this die 9 times, what is the probability of getting a roll of 5 more than two times?

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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part C D e

1.
Consider a weighted 8-sided die where a die roll of x has probability kx for some k E R.
a.
Find the value of k to make a valid probability distribution.
b. Show the distribution in one of the two proper forms
С.
Calculate the standard deviation of this distribution by hand, correct to 4 decimal places.
d. If you and I each roll one of these weighted dice, what is the probability that the sum is 14?
e. If you roll this die 9 times, what is the probability of getting a roll of 5 more than two times?
Transcribed Image Text:1. Consider a weighted 8-sided die where a die roll of x has probability kx for some k E R. a. Find the value of k to make a valid probability distribution. b. Show the distribution in one of the two proper forms С. Calculate the standard deviation of this distribution by hand, correct to 4 decimal places. d. If you and I each roll one of these weighted dice, what is the probability that the sum is 14? e. If you roll this die 9 times, what is the probability of getting a roll of 5 more than two times?
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