A balanced die with 4 sides, numbered 1 through 4, is rolled 40 times. a. For the binomial distribution of X=number of 4s, what is n and what is p? b. Find the mean and the standard deviation of the distribution of X. Interpret. c. If you observe x=0, would you be skeptical that the die is balanced? Explain why, based on the mean and standard deviation of X. d. Find the probability that
A balanced die with 4 sides, numbered 1 through 4, is rolled 40 times. a. For the binomial distribution of X=number of 4s, what is n and what is p? b. Find the mean and the standard deviation of the distribution of X. Interpret. c. If you observe x=0, would you be skeptical that the die is balanced? Explain why, based on the mean and standard deviation of X. d. Find the probability that
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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Question
A balanced die with 4 sides, numbered 1 through 4,
is rolled 40 times.
is rolled 40 times.
a. For the binomial distribution of X=number of 4s, what is n and what is p?
b. Find the mean and the standard deviation of the distribution of X. Interpret.
c. If you observe x=0, would you be skeptical that the die is balanced? Explain why, based on the mean and standard deviation of X.
d. Find the probability that x=0.
a. n=
(Type an integer or decimal. Do not round.)
p=
(Round to three decimal places as needed.)
b. μ=
(Round to three decimal places as needed.)
σ=
(Round to two decimal places as needed.)
What information is given by the mean and standard deviation?
A. Since the sample size is sufficiently large, the distribution is approximately normal and nearly all observations fall within μ−3σ and μ+3σ.
and μ+3σ.
c. If you observe x=0, would you be skeptical that the die is balanced?
A. Yes, because 0 is over two standard deviations from the mean.
d. The probability that x=0 is?
(Round to seven decimal places as needed.)
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