Question

Imagine you roll a fair 4-slided 4 times , and a 4 is considered a success....

Imagine you roll a fair 4-slided 4 times , and a 4 is considered a success.

A. Graph the discrete probability distribution associated with the likelihood of rolling any number of successes for this event .

B. What is true about the sum of all of the histogram's categories?

C. what is the mean and standard deviation of this binomial system?

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Answer #1

Imagine you roll a fair 4-slided 4 times , and a 4 is considered a success.

Binomial distribution with n=4, p=0.25

  1. Graph the discrete probability distribution associated with the likelihood of rolling any number of successes for this event .

Binomial Probabilities Table

X

P(X)

0

0.3164

1

0.4219

2

0.2109

3

0.0469

4

0.0039

B. What is true about the sum of all of the histogram's categories?

sum of all of the histogram's categories is 1.

C. what is the mean and standard deviation of this binomial system?

Expectation = np = 1

Variance = np(1 - p) = 0.75

Standard deviation = 0.8660

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