Compute the probability of X successes, using Table B in

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Answered question

2021-09-15

Calculate the likelihood that X will succeed using Table B in appendix A.
a. n=15,p=0.80,X=12 
b. n=20,p=0.05,X=0 
c. n=20,p=0.50,X=10 
d. n=16,p=0.20,X=3

Answer & Explanation

Adnaan Franks

Adnaan Franks

Skilled2021-09-16Added 92 answers

Step 1
Consider X be a random variable which follows binomial distribution with number of trials, n and the probability of success, p.
The probability mass function of the binomial distribution is given by:
P(X=x)=nCxpx(1p)nx
a. n=15,p=0.80,X=12
Using the Binomial disttribution table, the probability for given parameters is obtained as 0.250.
Using the binomial formula, the probability is,
P(X=12)=15C12(0.80)12(10.80)1512
=0.250
Step 2
b. n=17,p=0.05,X=0
Using the Binomial distribution table, the probability for given parameters is obtained as 0.418.
Using the binomial formula, the probability is,
P(X=0)=17C0(0.05)0(10.05)170
=0.418
c. n=20,p=0.50,X=10
Using the Binomial distribution table, the probability for given parameters is obtained as 0.176.
Using the binomial formula, the probability is,
P(X=10)=20C10(0.5)10(10.5)2010
=0.176
d. n=16,p=0.20,X=3
Using the Binomial distribution table, the probability for given parameters is obtained as 0.246.
Using the binomial formula, the probability is,
P(X=3)=16C3(0.2)3(10.2)163
=0.246

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