A binomial probability experiment is conducted with the given parameters.

smileycellist2

smileycellist2

Answered question

2021-09-19

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=5,p=.35,x=2
P(2)

Answer & Explanation

insonsipthinye

insonsipthinye

Skilled2021-09-20Added 83 answers

Step 1
Given: The experiment conducted is a binomial probability experiment.
The information provided is:
The number of experiments are n=5.
The probability of success is p=0.35.
Let x be a random variable following binomial distribution.
It can be mathematically represented as:
XB(n,p)
B(5,0.35)
The probability mass function of the random variable X is given as:
P(X=x)=nCxpx(1p)nx
Step 2
The probability for 2 successes is given as:
P(X=2)=5C2(0.35)2(10.35)52
=5!2!(52)!×0.352×0.653
=10×0.1225×0.274625
=0.336415
0.3364
Therefore, the required probability is P(2)=0.3364.

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