Question

A binomial experiment has the given number of trials n and the given success probability p. 15.p=0.2 Part: 0/3 Part 1 of 3 (a) Determine the probability P(7). Round the answer to at least four decimal places. P(7)- 5 X

Answer 1

To determine the probability of getting 7 successes in a binomial experiment with 15 trials and a success probability of 0.2, you can use the binomial probability formula.

Step-by-step explanation:

A binomial experiment has a fixed number of trials, success or failure outcomes, and independent trials using identical conditions. The probability of success (p) is 0.2 for each trial and the number of trials (n) is 15. To determine the probability of getting 7 successes (P(7)), we can use the binomial probability formula.

The formula for the probability of getting k successes in n trials is:

P(k) = C(n, k) * p^k * (1-p)^(n-k)

Using this formula, we can substitute the values into the equation:

P(7) = C(15, 7) * (0.2)^7 * (0.8)^(15-7)

Calculating this expression will give you the probability. Round the answer to at least four decimal places to find the final result.