SOLUTION: Assume that a procedure yields a binomial distribution with a trial repeated n = 5 n=5 times. Use either the binomial probability formula (or technology) to find the probabili

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that a procedure yields a binomial distribution with a trial repeated n = 5 n=5 times. Use either the binomial probability formula (or technology) to find the probabili      Log On


   

Question 1100850: Assume that a procedure yields a binomial distribution with a trial repeated
n
=
5
n=5 times. Use either the binomial probability formula (or technology) to find the probability of
k
=
4
k=4 successes given the probability
p
=
0.76
p=0.76 of success on a single trial.
(Report answer accurate to 4 decimal places.)
P
(
X
=
k
)
=
P(X=k)=
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
Unreadable in this format.



Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The number of ways of having 4 of the 5 trials successful is "5 choose 4" = 5.

The probability of any one of those ways is %280.76%5E4%29%28%281-0.76%29%5E1%29.

Then the probability of 4 successes in 5 tries is
5%2A%280.76%5E4%29%281-0.76%5E1%29+=+.4003