Question

Assume that a procedure yields a binomial distribution with n=5 trials in the probability of success of P equals 0.80. Use a binomial probability table to find the probability that the number of successes X is exactly 3.

a) 0.008
b) 0.288
c) 0.576
d) 0.512

Answer 1

To find the probability of exactly 3 successes in a binomial distribution with n = 5 trials and p = 0.80, we can use a binomial probability table. The probability is approximately 0.288.

Step-by-step explanation:

To find the probability that the number of successes X is exactly 3, we can use the binomial probability table. In this case, the binomial distribution has n = 5 trials and a probability of success p = 0.80.

Looking up the value of X = 3 in the binomial probability table, we find that the corresponding probability is approximately 0.288.

Therefore, the correct answer is b) 0.288.