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

ANSWER: 31.25%

Explaination:

Suppose (x+y) 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 = *

=10*0.03125

= 31.25%

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

14

step-by-step explanation:

14 x 3 = 42