Elementary Statistics Question 1: A poll is taken in a town, with the following results: Democrat Republican Independent Male 50 60 50 Female 40 40 60 Suppose a random voter is chosen from this town. Let A = the event that the voter is a Democrat, and B = the event that the voter is female. Find the following Probabilities: a. P (A) b. P (B) c. P (not A) d. P (A and B) e. P (A or B) f. P (A?B) g. Are A and B mutually exclusive events? Why or why not? h. Are A and B independent events? Why or why not? Question 2: An insurance company offers to sell you a life insurance policy which will pay your beneficiary $100.000 if you die. They estimate that the probability that you will die in the next year is 0.00086. If the company wants to expert to make a profit on the policy, then how much do they have to charge per year? Question 3: A basketball player makes 82% of her free throw attempts. Suppose she takes 20 free and we let X = the number of free throws that she makes. a. What are the possible values for X? b. What is the mean and standard deviation for X? c. Find P (X = 15). d. Find P (X = 15). e. Find P (10 = X = 18). Question 4: A fuel economy for a model of car is normally distributed with mean 26 mpg (miles per gallon) and standard deviation 4 mpg. One of these cars is selected at random, and we let X = that cars fuel economy. a. Find P (22 = X = 28). b. Find P (X = 30). c. How many miles per gallon do the top 7% of these cars get? PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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