a) Find binomial probability, P(X=5). b) Find the value of binomial

Lewis Harvey

Lewis Harvey

Answered question

2021-09-20

a) Find binomial probability, P(X=5).
b) Find the value of binomial probability, P(X=0).
c) FInd the binomial probability, P(X=9).

Answer & Explanation

SchepperJ

SchepperJ

Skilled2021-09-21Added 96 answers

a) Calculation:
The given information is that the value of X is 5, n is 30 and π is 0.90.
Binomial Distribution:
The random variable X denotes the number of successes in trail of n.
The PDF of the distribution is,
P(X=x)=n!x!(nx)!πx(1π)nx
Here n denotes the number of trails and π denotes the value of the probability for success,
The binomial probability value for X is 5 is,
P(X=5)=9!5!(95)!(0.90)5(10.90)95
=9×8×7×6×5!5!4!×0.5905×0.00001
=3,02424×0.00005905
=0.0074
Thus, the value of binomial probability is 0.0074.
b) Calculation:
The given information is that the value of X is 0, n is 6 and π is 0.20.
Calculate the binomial probability value for X is 0 is,
P(X=0)=6!0!(60)!(0.20)0(10.20)60
=6!6!×(0.80)6
=1×0.2621
=0.2621
Thus, the value of binomial probability is 0.2621.
c) Calculation:
The given information is that the value of X is 9, n is 9 and π is 0.80.
The binomial probability value for X is 9 is,
P(X=9)=9!9!(99)!(0.80)9(10.80)99
=9!9!0!×(0.80)9×(0.20)0
=1×0.1342
=0.1342
Thus, the value of binomial probability is 0.1342.

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