STATISTICS AND PROBABILITY

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PERFORMANCE TASK NO. 1 Construct a probability distribution for the data and draw a histogram of the distribution a. The probabilities that a customer buys 2,3,4,5, or 6 items in a convenience store are 0.32, 0.12, 0.23, 0.18, and 0.15 respectively. b. The probabilities that a student will borrow 1,2,3, or 4 books are 0.45, 0.30, 0.15, and 0.10 respectively PERFORMANCE TASK NO. 2 The number of inquiries received per day by the Office of Admission in a certain university is shown below. Complete the table and find the variance and standard deviation. Number of Probability P(X) X . P(X) X -H ( X - 1 ) 2 (X-H)2. P(X) Inquiries (X) 22 0.08 23 0.15 24 0.36 25 0.25 26 0.07 27 0.05 PERFORMANCE TASK NO. 3 In a study of the life expectancy of 400 people in a certain geographic region, the mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that the mean life expectancy will be less than 68 years