Statistics:Mean,Variance and Median Assignment

Show the result of calculations for each of the following problems

1. Assume that a class of 20 students is supposed to write an essay. If 4 essays are randomly selected to appear on the class bulletin board, how many different groups of 4 are possible? (calculate number of combinations of 4 Items from 20 available items).
2. A student majoring in physiology is trying to decide on the number of firms to which he should apply. Given his work experience and grades he can expect to receive a job offer from 60% of the firms he applies. The student decides to apply to only 4 firms. What is the probability that he receives?
   2. No job offers P(x=0)
   3. Less than 2 job offers P(x <2>
   4. At least 2 job offers P(x22)
3. Find the mean, variance, and standard deviation for the given above binomial distribution with parameters (n=16, p -0.75).
4. A computer salesman averages 2 sales per week (u=2). Use the Poisson distribution to find the probability that in a randomly selected week the number of computers sold is at least 1 (one or more). Show the result of calculations and circle one of the multiple choice answers.
   1. 0.3679
   2. 0.8647
   3. 0.7769
   4. 0.1353

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