A balanced die with 10 sides, numbered 1 through 10, is rolled 100 times. a. For the binomial distribution of X = number of 2s, 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 = 100 (Type an integer or decimal. Do not round.) p = 0.1 (Round to three decimal places as needed.) b. μ = (Round to three decimal places as needed.)

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Hello, for this question I was wondering if you can go over parts c and d? in how would we solve it?

A balanced die with 10 sides, numbered 1 through 10, is rolled 100 times.
a. For the binomial distribution of X = number of 2s, 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 = 100
(Type an integer or decimal. Do not round.)
p = 0.1
(Round to three decimal places as needed.)
b. μ =
(Round to three decimal places as needed.)
Transcribed Image Text:A balanced die with 10 sides, numbered 1 through 10, is rolled 100 times. a. For the binomial distribution of X = number of 2s, 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 = 100 (Type an integer or decimal. Do not round.) p = 0.1 (Round to three decimal places as needed.) b. μ = (Round to three decimal places as needed.)
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