149k views
1 vote
Using the Binomial distribution,If n=10 and p=0.2, find P(x=5). Round your answer to three decimal places.

1 Answer

5 votes
Step-by-step explanation

To solve this problem, we will use the formula for the probability of the Binomial distribution:


b(x;n,p)=(n!)/((n-x)!\cdot x!)\cdot p^x\cdot(1-p)^(n-x).

Where:

• b(x; n, p) = the binomial probability for x,

,

• x = the total number of successes,

,

• n = the number of trials,

,

• p = the probability of success on an individual trial.

From the statement, we know that:

• x = 5,

,

• n = 10,

,

• p = 0.2.

Replacing these data in the formula above, we get:


b(5;10,0.2)=(10!)/((10-5)!\cdot5!)\cdot0.2^5\cdot(1-0.2)^(10-5)\cong0.026.Answer

0.026

User Toozyfuzzy
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories