A consumer response team hears directly from consumers about the challenges they face in the? marketplace, brings their concerns to the attention of financial? institutions, and assists in addressing their complaints. The consumer response team accepts complaints related to? mortgages, bank accounts and? services, private student? loans, other consumer? loans, and credit reporting. An analysis of complaints over time indicates that the mean number of credit reporting complaints registered by consumers is1.95per day. Assume that the number of credit reporting complaints registered by consumers is distributed as a Poisson random variable. Complete parts? (a)through? (d) below.

A.) What is the probability that on a given? day, no credit reporting complaints will be registered by? consumers?

B.) What is the probability that on a given? day, exactly one credit reporting complaint will be registered by? consumers?

C.) What is the probability that on a given? day, more than one credit reporting complaint will be registered by? consumers?

D.) What is the probability that on a given? day, fewer than two credit reporting complaints will be registered by? consumers?

Question 14 Q A high school theater club has 40 students, of whom & are left-handed. Two students from the club will be selected at random, one at a time without replacement. What is the probability that the 2 students selected will both be left-handed? C D E4 - If I have a bag with 2 coins in it. One of them is a fair coin, but the other is biased trick coin. When flipped, the two coins come up heads with probability 0.5 (for the fair one) and 0.6 (for the trick one), respectively. Suppose that we select a coin from the bag randomly, toss it two times. Let the random variable X be the number of heads observed in these 2 tosses. a) Find the probability distribution of X. b) Find the cumulative function of X. c) Calculate the mean and variance of X.A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31,099 out of 31,101. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? fliers b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? H = $ (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier? or= $ (Round to the nearest cent as needed.) d. Do you think this is an effective promotion? Why or why not? A. Yes. The promotion will turn a profit if the customers redeeming fliers make an average purchase greater than the expected value of the prize won, which is likely. O B. No. The promotion will only turn a profit if the customers redeeming fliers make an average purchase less than the expected value of the prize won, which is unlikely. O C. Yes. The promotion will turn a profit if any of the customers redeeming fliers make a purchase, which is likely. O D. No. The promotion will not turn a profit regardless of how many customers redeeming fliers make a purchase