Assume a binomial probability distribution with n=40 and p=0.55. What

James Dale

James Dale

Answered question

2022-01-18

Assume a binomial probability distribution with n=40 and p=0.55. What is the standard deviation?

Answer & Explanation

psor32

psor32

Beginner2022-01-18Added 33 answers

Explanation:
Let Y be a binomial random variable based on n trials and success probability p.
Then the standard deviation for a binomial probability distribution is given as
σ=npq
where q is the probability of failure, given by 1-p.
We have n=40 and p=0.55, so q=.45. Then:
σ=400.55.45
3.15
Kindlein6h

Kindlein6h

Beginner2022-01-19Added 27 answers

Compute the following: (Round the value for standard deviation and intermediate calculations to 2 decimal places and your final answe to 4 decimal places.)
The mean and standard deviation of the random variable.
mean = np = 40*0.55 = 22
std=npq=220.45=3.1464

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