negative binomial rv is the number of failures that occur before the rth success in a sequence of independent and identical success/failure trials. The probability mass function (pmf) of X is

The probability mass function (pmf) of X is:

Step-by-step explanation:

The random variable X is said to be a Negative Binomial random variable.

The random variable X is defined as the number of failures in a series independent and identical Bernoulli trials, before a specific number of success takes place.

For example, consider rolling a 5 on a six-sided die as the success and any other number as failure. Then the number of rolls before 5 occurs three times in a row can be defined as a negative binomial experiment.

The probability mass function of a negative binomial random variable X is:

Here,

k = number of successes

r = number of failures

p = probability of success

answer: hi

step-by-step explanation:

518,400

step-by-step explanation:

the area is multiplying all the given measurements together.

40 * 18 * 30 * 24 = 518,400