In a binomial experiment, the probability of success is .06. What is the probability of two successes in seven trials? a. .0554 b. .28 c. .0036 d. .06

a. .0554

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

The probability of success is .06.

This means that

What is the probability of two successes in seven trials?

This is P(X = 2) when n = 7. So

The correct answer is given by option a.

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500