What value of p will give the following probability distribution

Ramsey

Ramsey

Answered question

2021-09-16

What value of p will give the following probability distribution if x is Binomially distributed with n=5 and probability of success p? 
x012345P(x)0.09160.28080.34410.21090.06460.0079 
Group of answer choices 30% 32% 34% 36% 38%

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-09-17Added 92 answers

Step 1
As given, x is binomially distributed with n=5 and p= probability of success. The probability distribution for x is as follows.
Misplaced &
Here, it is required to find p ( probability of success). Step 2
The formula for finding binomial probability for x is as follows.
P(r)=nCr(1p)nr
where, r= number of success
n= number of trials
p= probability of success
Note: The P(r) or P(x=r) is the probability of getting r success.
The formula for P(5) will be as follow
P(5)=5C5p5(1p)55
=5!5!(55)!×p5×(1p)0
=1p5×1
=p5
But, from the given probability distribution P(5)=0.0079
Therefore, P(5)=p5=0.0079
p5=0.0079
p=5{0.0079}
p=0.3798
=0.38 (till 2 decimal places)
=38% (In percentage)
Hence, the probability of success (p) is 0.38 or 38% and the correct choice would be 38%.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?