1.Assume that a procedure yields a binomial distribution with a trial repeated n

Question

1.Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. x=9, x=7, p=0.55. P(7)=______

2.Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. x=23, x=19, p=0.75. P(19)=________

Explanation / Answer

Ans:

1)P(7)=9C7*0.557*0.452

        =36*0.0152*0.2025=0.1110

Using Excel function:

P(7)=BINOMDIST(7,9,0.55,FALSE)=0.1110

2)P(19)=23C19*0.7519*0.254

     =0.1463

Using Excel function:

P(19)=BINOMDIST(19,23,0.75,FALSE)=0.1463

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