Given the probability distributions shown to the right, complete the following parts. :1. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. 6. Compare the results of distributions A and B. Distribution A Distribution B x P(X) x P(X) 0 0.51 0 0.02 1 0.23 1 0.11 2 0.13 2 0.13 3 0.1 1 3 0.23 4 0.02 4 0.51 The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) and (b) to the right. Number of Accidents Daily (X) mmme-no H") 0.28 0.29 0.21 0.09 0.07 0.04 0.02 la a. Compute the mean number of accidents per day. '1: (Type an integer or a decimal.) 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 $23,000, a $75 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 31,967, the chance of winning the gas card was 1 out of 31,967, and the chance of winning the shopping card was 31,965 out of 31,967. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? Assume there is one car and one gas card available. fliersThe number of arrivals per minute at a bank located in the central business district of a large city was recorded over a 3. Compute the expected number of arrivals per minute. period of 200 minutes, with the results shown in the table below. Complete (a) and (b) to the right. . p, = Arrlvals Freqlglency % (Type an integer or decimal.) 22 50 42 31 23 13 7 3 mummawNno The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results Number Approved Frequency l3 from these two years (104 weeks) are shown to the right. 0 12 3. Compute the expected number of mortgages approved per week. 1 24 b. Compute the standard deviation. 2 33 3 1 6 4 9 5 7 6 2 7 1 You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $1,000 investment in each stock under four different economic conditions has the Returns probability distribution shown to the right. Complete parts (a) through (c) below. Economic ProbabilityCondition Stock X Stock Y 0.1 Recession -70 - 170 0.3 Slow growth 30 50 0.4 Moderate growth 100 150 0.2 Fast growth 160 210 a. Compute the expected return for stock X and for stock Y. The expected return for stock X is. (Type an integer or a decimal.)You plan to invest $1 ,000 in a corporate bond fund or in a common stock fund. The information to the right about the annual return (per $1,000) of each of these investments under IE different economic conditions is available, along with the probability that each of these economic conditions will occur. Complete parts (a) through (c) below. Economic Corporate Common Probability Condition Bond Fund Stock Fund 0.02 Extreme recession - 350 - 990 0.08 Recession - 70 - 400 0.15 Stagnation 20 - 50 0.25 Slow growth 90 50 0.45 Moderate growth 100 200 0.05 High growth 120 400 a. Compute the expected return for the corporate bond fund and for the common stock fund. The expected return for the corporate bond fund is (Round to two decimal places as needed.) According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 17 flights are on time. (c) Find and interpret the probability that fewer than 17 flights are on time. (d) Find and interpret the probability that at least 17 flights are on time. (e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time. . . . (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. Each trial depends on the previous trial. B. The probability of success is the same for each trial of the experiment. C. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. D. The experiment is performed until a desired number of successes is reached. E. There are two mutually exclusive outcomes, success or failure. F. The experiment is performed a fixed number of times. G. The trials are independent