[10 pts] 1. An employment agency has developed the following probability distribution for the number of job applications

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10 Pts 1 An Employment Agency Has Developed The Following Probability Distribution For The Number Of Job Applications 1 (27.76 KiB) Viewed 32 times

[10 pts] 1. An employment agency has developed the following probability distribution for the number of job applications processed per day. Probability 05 Number of Job Applications 0 1 2 3 4 5 .05 .15 .25 40 .10 [10 pts] [5 pts] (a) What is the expected number of job applications processed per day? [5 pts] (b) What is the standard deviation in the number of job applications processed per day? 2. A manufacturer of clothing knows that the probability of a button flaw (broken. sewed on incorrectly or missing) is 0.002. An inspector examines 50 shirts in an hour, each with 6 buttons. [5 pts] (a) What is the probability that she finds no button flaws? (Hint: you need to find the average number of button flaws across 50 shirts). (5 pts] (b) What is the probability that she finds at least one button flaw?