Reference no: EM132238161

Assignment Questions -

Q1. If X and Y are independent outcomes and the p(X & Y) = .64 and the p(X) = .8, what is the p(Y)?

Q2. We have a cooler full of beverages: 6 Cokes, 5 Dr. Peppers, 4 Pepsis and 1 beer. Assume we are randomly selecting beverages one at a time without replacement.

a) What is the probability of the first 3 selections ALL being Cokes?

b) Starting again with a full cooler, if we take out 3 Dr. Peppers and 1 Pepsi, what is the probability of selecting a Coke on the next draw?

c) Using the same example, which is more likely, drawing all 4 Pepsis or drawing all 4 Pepsis and a Coke?

Q3. We have flipped a coin ten times with the following result: T H T T H H H H H H

What is the probability that the next flip will be heads?

Q4. How many possible outcomes are there if I roll a four-sided die three times?

Q5. Assume the amount of snow Boston gets every winter is normally distributed with a mean of 50 inches and standard deviation of 15 inches. For each part (a, b, & c) report the z-score(s) used to find the answer. Once you have your answer, be sure to write it out in a full sentence. For example your answer for part a) should look like: "Bostonians should expect to get 74 or more inches in a winter __% of the time."

a) How often should Bostonians expect to get 74 or more inches in a winter?

b) What percentage of Boston winters should have snowfall between 14 and 29 inches?

c) How much snowfall would Boston have to get to be higher than 99% of previous winters?

Q6. Referring to the same example as #5, 76% of Boston's winters have had between 62 and X inches of snow. Find X.

Q7. Assume the daily winter temperature in San Diego is normally distributed with a mean of 65 degrees F. and standard deviation of 10 degrees F. For each part (a, b, & c) report the z-score(s) used to find the answer. Once you have your answer, be sure to write it out in a full sentence. For example your answer for part a) should look like: "San Diegans should expect winter days 48 degrees or colder ___% of the time."

a) How often should San Diegans expect to get winter days that are 48 degrees or colder?

b) What percentage of winter days in San Diego should the temperature be between 59 and 77 degrees?

c) How cold would it have to be in San Diego to be colder than 90% of winter days?

Note: In the case of decimals, round to the nearest hundredths place (ex: 9.37).