# UB COM 101 - FINAL Review Key (7 pages)

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## FINAL Review Key

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- School:
- University at Buffalo-SUNY
- Course:
- Com 101 - Principles Of Comm

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REVIEW FINAL EXAM MGQ201 VERSION ONE 1 Determine the required value of the missing probability to make the distribution a discrete probability distribution x P x 3 28 4 5 34 6 15 A 0 23 B 0 67 C 0 01 D 0 32 For questions 2 and 3 consider the discrete probability distribution below Outcome Probability 1 0 34 2 0 17 3 0 22 4 0 27 2 Compute the mean of the distribution round to two decimal places A 2 00 B 3 42 C 2 5 D 2 42 3 Compute the standard deviation of the distribution round to three decimal places A 1 210 B 2 110 C 1 496 D 2 599 For questions 4 7 consider the following information A bread distributor wants you to recommend how many loaves of multigrain bread to make each morning by 11AM Each loaf costs the distributor 4 00 and can be sold for 7 00 and leftover loaves are donated to the local shelter Demands for the loaves of 25 50 and 75 are 30 20 and 50 respectively 4 What is the expected monetary value when baking 25 loaves A 50 B 75 C 90 D 97 5 5 What is the expected monetary value when baking 50 loaves A 50 B 75 C 90 D 97 5 6 What is the expected monetary value when baking 75 loaves A 50 B 65 C 85 D 97 5 7 How many loaves would you recommend that the baker makes each morning A 0 batches B 25 batches C 50 batches D 75 batches For questions 8 10 consider the following information There is a binomial distribution where p 0 6 and n 6 8 What is the probability that x equals 2 A P x 2 0 1382 B P x 2 0 8618 C P x 2 0 0041 D P x 3 0 9959 9 What is the probability that x is less than or equal to 1 Round to 4 decimal places A P x 1 0 0300 B P x 1 0 0410 C P x 1 0 9590 D P x 1 0 2456 10 What is the probability that x is greater than 4 Round to 4 decimal places A P x 4 0 2333 B P x 4 0 5443 C P x 4 0 2765 D P x 4 0 7667 For questions 11 13 consider the following information There is an exponential probability distribution that has a mean equal to 8 minutes per customer 11 What is the probability that x is greater than 16 A P x 16 0032 B P x 16 0 8647 C P x 16 0 1353 D P x 16 0 1353 12 What is the probability that x is greater than 5 A P x 5 0 5353 B P x 5 0 5353 C P x 5 0 1353 D P x 5 0 1353 13 What is the probability that x is between 8 and 20 inclusive A P 8 x 20 0 1353 B P 8 x 20 0 2858 C P 8 x 20 0 3445 D P 8 x 20 0 2858 14 An urn contains eight green balls and nine yellow balls If three balls are selected without being replaced what is the probability that of the balls selected two of them will be green and one of them will be yellow Round to 4 decimal places A P x 2 green 0 6294 B P x 2 green 0 3706 C P x 1 yellow 0 6221 D P x 1 yellow 0 3779 For questions 15 17 consider a Poisson distribution and find the probability of exactly 6 occurrences under the following conditions 15 When 3 0 find P x 6 A 0 0504 B 0 9496 C 0 0000 D 0 4496 16 When 4 0 find P x 6 A 0 8958 B 0 0000 C 0 1042 D 0 0595 17 When 5 0 find P x 6 A 0 1462 B 0 1755 C 0 0000 D 0 1044 For questions 18 20 consider a binomial probability distribution with p 0 2 in order to calculate the following probabilities 18 The probability of exactly four successes when n 5 A P 4 0 0000 B P 5 0 9936 C P 4 0 0029 D P 4 0 0064 19 The probability of exactly four successes when n 8 A P 8 0 0000 B P 4 0 0459 C P 4 0 0865 D P 4 0 9541 20 The probability of exactly four successes when n 10 A P 4 9119 B P 4 0 000 C P 4 0 0459 D P 4 0 0881 For questions 21 24 consider a binomial distribution that has p 0 79 and n 199 21 What is the mean of the distribution Round to two decimal places A 9 30 B 157 21 C 30 26 D 32 0892 22 What is the standard deviation for this distribution Round to two decimal places A 9 30 B 6 50 C 7 29 D 5 75 23 What is the probability of exactly 171 successes A 0 0067 B 0 0192 C 0 0040 D 0 0000 24 What is the probability of less than 174 successes A 0 9977 B 0 9887 C 0 0023 D 0 0223 For questions 25 27 consider the following information Assume that the cost of an extended warranty for a 150 000 miles follows a normal distribution with a mean of 1950 and a standard deviation of 80 25 The interval of warranty costs that are one standard deviation around the mean range from to A 1880 1990 B 1850 1400 C 2500 3700 D 1870 2030 26 The interval of warranty costs that are three standard deviations around the mean range from to A 1710 2190 B 1700 2100 C 1790 2110 D 1870 2030 27 A company is trying to sell an extended 100 000 mile warranty for 3100 Based on the information derived in questions 25 26 what conclusion would you make about purchasing the warranty A This warranty is a good bargain because it is more than three standard deviations above the mean B This warranty is much higher than the average because it is over three standard deviations above the mean C This warranty is a good bargain because it is only slightly higher than average D This warranty is a little higher than the median because it is within three standard deviations of the mean 28 Consider a hypergeometric probability distribution with n 6 R 7 and N 17 Calculate P x 1 A P x 1 0 1595 B P x 1 0 8405 C P x 1 0 3351 D There is insufficient information to answer the question 29 Consider a hypergeometric probability distribution with R 8 and N 19 Calculate P x 1 A P x 1 0 1595 B P x 1 0 8405 C P x 1 0 3351 D There is insufficient information to answer the question For …

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