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MAT 155 Chapter 5 The following is a brief review of Chapter 4. This does NOT cover all the material in that chapter. Click on Slide Show and View Slide Show. Read and note your answer to the question. Advance the slide to see the answer. Thanks to Ms. Valerie Melvin for her portion of this review. Dr. Claude Moore, Math Instructor, CFCC Identify the given variable as being discrete or continuous: the number of oil spills off the Alaskan coast. 1. Continuous 2. Discrete 0% 1 0% x 0 Determine if the 1 following represents 2 a probability distribution: 3 4 5 50% 50% 1. Yes 2. No 1 2 P(x) 0.243 0.167 0.213 0.149 0.232 0.164 Find the mean of the following probability distribution: 1. 2. 3. 4. 1.5 1.7 1.6 2.0 25% 1. 25% 25% 2. 3. 25% 4. x 0 1 2 3 4 P(x) 0.1296 0.3456 0.3456 0.1536 0.0256 A contractor is considering a sale that promises a profit of $38,000 with a probability of 0.7 or a loss (due to bad weather, strikes and such) of $16,000 with a probability of 0.3. What is the expected profit? 1. 2. 3. 4. $26,600 $22,000 $37,800 $21,800 25% 1 25% 25% 2 3 25% 4 In the United States, 25% of the population have green eyes. If 12 people are randomly selected, what is the probability that exactly 5 of them have green eyes? 25% 1. 2. 3. 4. 0.103 0.082 0.091 0.027 1. 25% 25% 2. 3. 25% 4. The number of calls received by a car towing service averages 16.8 per day (per 24 hour period). After finding the mean number of calls per hour, use a Poisson Distribution to find the probability that in a randomly selected hour, the number of calls is 2. 25% 1. 2. 3. 4. 0.0852 0.134 0.122 0.152 1. 25% 25% 2. 3. 25% 4. Mars, Inc., claims that 24% of its M&M plain candies are blue. A sample of 100 M&Ms is randomly selected. Find the standard deviation for the numbers of blue M&Ms in such groups of 100. 1. 2. 3. 4. 18.24 4.27 24.0 4.54 25% 1. 25% 25% 2. 3. 25% 4. If boys and girls are equally likely and groups of 400 births are randomly selected, find the mean numbers of girls in such groups of 400. 1. 2. 3. 4. 200 14.14 100 10 25% 1 25% 25% 2. 3 25% 4 The brand name of McDonalds has a 95% recognition rate. In a random sample of 15 customers, find the probability that the number who recognize the brand name is not 13. 1. 2. 3. 4. 0.135 0.865 0.829 0.171 25% 1. 25% 25% 2. 3. 25% 4.