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1. Multiple Choice. This exam contains ten multiple-dioice questions, each worth 2 points, and 3 points for the complete manual solution. Write the correct response for ad: question in the space before the number. Put your solutions in the space provided. For numbers 1 3, 1. For a binomial distribution with a sample size equal to 10 and a probability of a success equal to 0.30, what is the probability that the sample will contain exactly three successes? a) 0.014% b) 26.68% c) 26.86% d) 99.99% . Refer to problem number 1, what is the probability that the sample will contain at most 9 success? a) 0.014% b) 26.68% c) 26.86% d) 99.99% . Refer to problem 1, Find the mean and the standard deviation of the sample. a)p=1.45;o=3 b)p=3;o=2.1 c)p=3;s=1.45 d)|J=1.45;G=2.1 . Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes. Find A. a) 0.2 b) 3 c) 5 d) 15 . Refer to problem 4, Determine the probability that in a given 15-minute segment no customers will arrive at the ATM. a) 0.67% b) 81.87% c) 81.78% d) 99.99% . Consider a situation in which a usedcar lot contains ve Fords, four General Motors (GM) cars, and ve Toyotas. If ve cars are selected at random to be placed on a special sale, what is the probability that two are Fords, two are GMs and 1 Toyota? a) 2.50% b) 14.99% c) 75% d) 86.25% . The useful life of an electrical component is exponentially distributed with a mean of 2,500 hours. What is the probability the circuit will last more than 3,000 hours? a) 30.12% b) 44.93% c) 55.07% d) 69.88% . Refer to problem 7, what is the probability the circuit will fail within the rst 2,000 hours? a) 30.12% b) 44.93% c) 55.07% d) 69.88% . A continuous random variable is uniformly distributed between 100 and 150. what is the probability a random selected value will be greater than 135? a) 20% b) 30% c) 40% d) 50% 10. Refer to problem 9, What is the probability a random selected value will be between 115 and 135? a) 20% b) 30% c) 40% d) 50%