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1. Choose a number at random from the set of numbers from the set of numbers {1,2,3,4,5}. Now choose a number from the subset {1,...,X). Call this second number Y.
a) Find the joint p.m.f. of X and Y
b) Find the conditional mass function of X given that Y = i. Do it for i = 1,2,3,4,5
c) Are X and Y independent? Why?
How much time should the employer allow employees to finish the job? (Round up to the nearest minute).
The NY Dept of Motor Vehicles (DMV) designs its license plates with space for 7 letters or numerals. In the most recent iteration, the DMV uses three letters followed by 4 numbers.
A marketing research analyst collects data for a random sample of 100 customers out of the 400 who purchased a particular "coupon special".
What is the probability that between 30 and 40 of the delinquents will commit another crime?
Produce a printout of the frequency tables, showing the total of both frequencies.
Give an example of a hypothesis test. State what the Null and the Alternative hypotheses.
The scores of college-bound senior men on the math part of the SAT followed a normal distribution with mean 527 and standard deviation 116.
Decision making under risk is the same as decision making under uncertainty because in both the probabilities are unknown.
Do these results suggest that the racial makeup of the faculty members is different from that of the students? (Use the .05 significance level.) Use the five steps of hypothesis testing and explain your findings.
Using alpha = 0.05 and a computed value of +4.49, can we conclude that the percentage of claims for married policyholders is less then for single policyholders?
The Aloha Banking Co. is studying ATM use in suburban Honolulu. A sample of 30 ATM's showed they were used the following number of times yesterday.
Find the sample space for the number of outcomes (you don't need to list the possible outcomes, just how many possible outcomes there are).
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