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Assume that a procedure yields a binomial distribution with a trial repeated n=6n=6 times. Use either the binomial probability formula (or technology) to find the probability of k=1k=1 successes given the that p=44%p=44% is the probability of a success on a single trial.

Assume that a procedure yields a binomial distribution with a trial repeated n=6n=6 times. Use either the binomial probability formula (or technology) to find the probability of k=1k=1 successes given the that p=44%p=44% is the probability of a success on a single trial.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Assume that a procedure yields a binomial distribution with a trial repeated n=6n=6 times. Use either the binomial probability formula (or technology) to find the probability of k=1k=1 successes given the that p=44%p=44% is the probability of a success on a single trial.

(Report answer accurate to 3 decimal places.)

P(X=1)=P(X=1)= 

Expert Solution
Step 1

The procedure yields a binomial distribution repeated n = 6 with probability of success = 44%

Hence, X ~ Binomial(n=6,p=0.44)

PMF of X, 

P(X=x)=nxpx(1-p)n-x =6x(0.44)x(0.56)6-x , x=0,1,2,3,4,5,6

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