Assignment 3 Questions PDF

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Assignment4

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What is the probability of the event that will never occur? A(n)…………………….is any collection of outcomes from probability experiment. True or False: The sum of the probabilities of all outcomes must equal to 1 The two event are ………………………….., when one event occurs, the other cannot If I calculate the probability of an event and it turns out to be -0.7, I know that a) The event is probably going to happen. b) The event is probably not going to happen. c) The probability of it not happening is 0.3

6. I know that if I draw a single card from a deck, it cannot be a red card and a black card because these are a) Colours. b) Not in the deck. c) Mutually exclusive. d) Conditional 7. Experiment: There are 3 M & M candies in a bag (1 red, 1 blue, and 1 green). 2 M&M candies are selected at the same time randomly from the bag. a. List the simple events in the sample space. b. List the simple events for the event A observing 1 red M&M candy. c. List the simple events for the event B observing 2 red M&M candies. d. Find the probability of the event A. e. Find the probability of the event B. 8. Experiment: 3 people are chosen to be the president, director, and secretary. There are 5 candidates (Susan, George, Bob, Pam, and David) that can fill any position. a) Find the number of all possible outcomes –n(s) b) Find the probability that George is the president. c) Find the probability that Susan is the secretary.

9. Toys experiment: five toys are placed in a container. The toys are 2 red and 3 blue. A child is asked to choose two toys at random. What is the child choses the two red toys? 10. 3-person committee is chosen by randomly selecting one by one from a pool of fifteen

candidates. If ten candidates are male, what is the probability that there will be at least two women on the committee? 11. Suppose that P(A)=0.4 and P(B)= 0.2. If the events A and B are independent, find these probabilities: a) P(A∩B) b) P(A⋃B) c) P(A|B) 12. Suppose that P(A)=0.3 and P(B)=0.5. If events A and B are mutually exclusive, find these probabilities a) P(A∩B) b) P(A⋃B) 13. Starbucks or Tim Hortons? A university student frequents one of two coffee houses on campus, choosing Tim Horton 70% of the time and Starbucks 30% of the time. Regardless of where she goes, she buys a decaffeinated coffee on 60% of her visits a. The next time she goes into a coffee house on campus, what is the probability that she goes to Tim Hortons and orders a decaffeinated coffee? b. Are the two events in part a) independent? Explain c. If she goes into a coffee house and orders a decaffeinated coffee, what is the probability that she is at Starbucks? d. What is the probability that she goes to Tim Hortons or orders a decaffeinated coffee or both?

14. In a game of chance, two fair dice are thrown. If the sum of the two dice is seven, you get paid out $90. If the sum of two dice is a six or an eight, you must pay $90(No money is exchanged for all other sums). How much money would you expect to win or lose, on average, per game?...