Roll two dice six times. We are interested in how many times (out of these six rolls) that the sum

of the dice equals seven.

a. Show that this scenario satisfies the conditions of a Binomial Distribution, determine what a

"success" is and state what the random variable X stands for.

b. Use =binom.dist(____, ____ , ____ , false ) to generate the probability distribution

.

c. What is the probability that the sum is seven exactly 3 times?

d. What is the probability that the sum is seven at most 4 times?

e. What is the probability that the sum is seven more than once?

f. What is the expected value (mean) of this binomial distribution?

g. What is the distribution's standard deviation, ?