1.Complete parts​ (a) and​ (b) using the probability distribution below

1.Complete parts​ (a) and​ (b) using the probability distribution below.The number of overtime hours
worked in one week per employee
overtime hours 0      1    ,2,     3,    4,    5,     6
Probability    0.030, 0.076, 0.157, 0.298, 0.207, 0.167, 0.065
Find the mean, variance and standard deviation
2.Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities.
A newspaper finds that the mean number of typographical errors per page is six. Find the probability that​ (a) exactly four typographical errors are found on a​ page, (b) at most four typographical errors are found on a​ page, and​ (c) more than four
typographical errors are found on a page.
 
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