Assume that a procedure yields a binomial distribution with a trial repeated

Yasmin

Yasmin

Answered question

2021-09-15

Assume that a procedure yields a binomial distribution with a trial repeated n=5 times. Use some form of technology to find the probability distribution given the probability p=0.6 of success on a single trial. 
(Report answers accurate to 2 decimal places.) 
kP(X=k)0 1 2 3 4 5 

Answer & Explanation

Maciej Morrow

Maciej Morrow

Skilled2021-09-16Added 98 answers

Step 1 
From the given information, binomial distribution with a trial n=5 and the probability of success is p=0.6
By using Excel formula to find the P(X=0) 
For P(X=0)
The excel formula for binomial probability is = BINOMDIST (Number_s, trials, probability_s,) 
The binomial probability is = BINOMDIST (0,5,0.6) 
Thus, the P(X=0) is 0.01. 
For P(X=1)
The excel formula for binomial probability is = BINOMDIST (Number_s, trials, probability_s,) 
The binomial probability is = BINOMDIST (1,5,0.6) 
Thus, the P(X=1) is 0.08.N 
Step 2 
For P(X=2)
The excel formula for binomial probability is = BINOMDIST (Number_s, trials, probability_s,) 
The binomial probability is = BINOMDIST (2,5,0.6) 
Thus, the P(X=2) is 0.23. 
For P(X=3)
The excel formula for binomial probability is = BINOMDIST (Number_s, trials, probability_s,) 
The binomial probability is = BINOMDIST (3,5,0.6) 
Thus, the P(X=3) is 0.35. 
Step 3 
For P(X=4)
The excel formula for binomial probability is = BINOMDIST (Number_s, trials, probability_s,) 
The binomial probability is = BINOMDIST (4,5,0.6) 
Thus, the P(X=4) is 0.26. 
For P(X=5)
The excel formula for binomial probability is = BINOMDIST (Number_s, trials, probability_s,) 
The binomial probability is = BINOMDIST (5,5,0.6) 
Thus, the P(X=5) is 0.08. 
Step 4 
The required probability values are tabulated below: 
kP(X=k)00.0110.0820.2330.3540.2650.08

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?