According to a dailynewspaper, the probability is about 0.66 that the favorite in a horse race will finish in the money(first, second, or thirdplace). Complete parts(a) through(j) below.

a. The probability that the favorite finishes in the money exactly twice is 0.171.

(Round to three decimal places asneeded.)

b. In the next five races, what is the probability that the favorite finishes in the money exactly fourtimes?

The probability that the favorite finishes in the money exactly four times is 0.323.

(Round to three decimal places asneeded.)

c. In the next five races, what is the probability that the favorite finishes in the money at least fourtimes?

The probability that the favorite finishes in the money at least four times is 0.448

(Round to three decimal places asneeded.)

The probability that the favorite finishes in the money between two and four times, inclusive, is 0.8260

Help me answer the last remaining questions, please

e.Determine the probability distribution of the random variable X, the number of times the favorite finishes in the money in the next five races. List the possible values of x in ascending order.

Use ascending order. Round to three decimal places as needed.)

1. identify the probability distribution of X as right-skewed, symmetric, or left skewed without consulting its probability distribution or drawing its probability histogram.

The probability distribution of X is

right-skewed.

left-skewed.

symmetric.

h.Use your answer from part (e) and the formulas for the mean and standard deviation of a discrete random variable to obtain the mean and standard deviation of the random variable X.

The mean of X, calculated using the discrete random variable formula, is _____ times.

(Round to two decimal places as needed.)

i.Use the formulas for the mean and standard deviation of a binomial random variable to obtain the mean and standard deviation of the random variable X.

The mean of X is _____ times.

(Round to two decimal places as needed.)

The standard deviation of X is _____ times.

(Round to two decimal places as needed.)

j.Interpret your answer for the mean in words. Choose the correct interpretation of the mean below.

1. Out of the five races, the mean gives the exact number of favorites that finish in the money.
2. Out of the five races, the mean gives the average number of favorites that finish in the money.
3. Out of the five races, the mean gives the least number of favorites that finish in the money.
4. Out of the five races, the mean gives the at most number of favorites that finish in the money.