Assume that a procedure yields a binomial distribution with a

CheemnCatelvew

CheemnCatelvew

Answered question

2021-09-28

Assume that a procedure yields a binomial distribution with a trial repeated n=13 times. Use either the binomial probability formula (or technology) to find the probability of k=12 successes given the probability p=83% of success on a single trial.
(Report answer accurate to 4 decimal places.)

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-09-29Added 91 answers

Step 1
The binomial probability distribution is,
P(X=k)=(nk)(p)k(1p)nk
In the formula, n denotes the number of trails, p denotes probability of success, and k denotes the number of success.
Step 2
The probability of k=12 successes given the probability p=83% of success on a single trial is,
P(X=12)=(1312)(0.83)12(10.83)1312
=0.2362
Thus, the probability of k=12 successes given the probability p=83% of success on a single trial is 0.2362.

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