Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ? a) The standard deviation is 0.8441 b) The number of trials is equal to 15 c) The probability that x equals 1 is 0.3658 d) The highest probability occurs when x equals 0.7500 e) The mean equals 0.7500 f) None of the above

d) The highest probability occurs when x equals 0.7500

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:

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 expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

In this problem, we have that:

a) The standard deviation is 0.8441

This is correct

b) The number of trials is equal to 15

n is the number of trials and . So this option is correct.

c) The probability that x equals 1 is 0.3658

This option is correct.

d) The highest probability occurs when x equals 0.7500

False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.

e) The mean equals 0.7500

This option is correct.

f) None of the above

d is false

72 is the answer to this problem