Consider a binominal experiment with 2 trials and p=0.4 a. Compute

sanuluy 2021-09-28 Answered
Consider a binominal experiment with 2 trials and p=0.4
a. Compute the probability of 1 success f(1)
b. Compute f(0)
c. Compute f(2)
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Expert Answer

Alix Ortiz
Answered 2021-09-29 Author has 109 answers
Step 1
Given binomial experiment with n=2 and p=0.4
The binomial probability for x number of success is calculated by the below mentioned formula
P(X=x)=nCx(p)x(1p)nx
Step 2
The probability of 1 success is computed as shown below
Probability of 1 success f(1)=0.48
P(X=x)=nCx(p)x(1p)nx
P(X=1)=2C1(0.4)1(10.4)21
P(X=1)=2(0.4)(0.6)=0.48
Step 3
The probability of 0 success is computed as shown below
The probability of 0 success is f(0)=0.36
P(X=x)=nCx(p)x(1p)nx
P(X=0)=2C0(0.4)0(10.4)20
P(X=0)=1(1)(0.6)2=0.36
Step 4
The probability of 2 success is computed as shown below
The probability of 2 success f(2)=0.16
P(X=x)=nCx(p)x(1p)nx
P(X=2)=2C2(0.4)2(10.4)22
P(X=2)=1(0.4)2(0.6)0=0.16
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