# Question: Following a touchdown a college football coach has the option

Following a touchdown, a college football coach has the option to elect to attempt a two-point conversion; that is, two additional points are scored if the attempt is successful and none, if it is unsuccessful. The coach believes that the probability is 0.35 that his team will be successful in any attempt and that outcomes of different attempts are independent of each other. In a particular game the team scores 4 touchdowns and two-point conversion attempts were made each time.

a. What is the probability that at least 2 of these attempts will be successful?

b. Find the mean and standard deviation of the total number of points resulting from these 4 attempts.

c. What is the required success rate for completing one point conversions so that the same mean number of points are obtained?

a. What is the probability that at least 2 of these attempts will be successful?

b. Find the mean and standard deviation of the total number of points resulting from these 4 attempts.

c. What is the required success rate for completing one point conversions so that the same mean number of points are obtained?

## Answer to relevant Questions

A notebook computer dealer mounts a new promotional campaign. Purchasers of new computers may, if dissatisfied for any reason, return them within 2 days of purchase and receive a full refund. The cost to the dealer of such a ...The following two acceptance rules are being considered for determining whether to take delivery of a large shipment of components: • A random sample of 10 components is checked, and the shipment is accepted only if none ...The number of accidents in a production facility has a Poisson distribution with a mean of 2.6 per month. a. For a given month what is the probability there will be fewer than 2 accidents? b. For a given month what is the ...Compute the probability of 7 successes in a random sample of size n = 14 obtained from a population of size N = 30 that contains 15 successes. Consider the joint probability distribution: a. Compute the marginal probability distributions for X and Y. b. Compute the covariance and correlation for X and Y. c. Compute the mean and variance for the linear function W = ...Post your question