Question

find the probability of exactly two successes in five trials of a binomial experiment in which the probability of success is 50%

Answer 1

Answer:31.3%

Explanation:

Answer 2

ANSWER: 31.25%

Explaination:

Suppose (x+y)
`(x+y)^(5)` is the binomial distribution with 5 trials. Given that, probability of exactly two success in five trials of a binomial experiment in which the probability of success is 50%.

So, x = 0.5 and y = 0.5

The term

5C2*x²*y³ representing 2 successes and 3 failures.

Now find the value of this term.

5C2*(0.5)²*(0.5)³ =
`(5!)/(2!3!)`*
`(0.5)^(5)`

=10*0.03125

= 31.25%