.A breeder of show dogs is interested in the number of female puppies in a litter. If a birth is equally likely to result in a male or a female puppy, give the probability distribution of the variable x = number of female puppies in a litter of size 5. (Enter your answers to five decimal places.)

The probability distribution of X is shown below.

Step-by-step explanation:

The random variable X = number of female puppies in a litter.

The size of the litter is, n = 5.

The probability of a puppy being a male or a female is same, i.e.

P (X) = p = 0.50.

The random variable X follows a Binomial distribution with parameters n = 5 and p = 0.50.

The probability mass function of a Binomial distribution is:

Compute the probability of the event X = 0 as follows:

Compute the probability of the event X = 1 as follows:

Compute the probability of the event X = 2 as follows:

Compute the probability of the event X = 3 as follows:

Compute the probability of the event X = 4 as follows:

Compute the probability of the event X = 5 as follows:

The probability distribution table is shown below.

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step-by-step explanation: