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I. Multiple Choice. This exam contains ten multiple-choice questions, each worth 2 points, and 3 points for the complete manual solution. Write the correct response for each 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 exacdy three successes? a) 0.014% b) 26.68% c) 25.86% d) 99.99% . Refer to problem number 1, what is the probability that the sample will contain at most 9 successes? 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)u= 1.45;o=3 b)|.l=3;0'=2.1 C)|J=3;o= 1.45 d)u=1.45;c=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% (1) 99.99%