A fast-food restaurant attaches prize coupons to the cups used to serve large drinks. Seventypercent (70%) of the coupons say "Play Again," 15% say "Win a free small drink," 10% say "Win afree ice cream cone," and the rest say "Win a free burger." Given what you know about probabilityand probability models, which one of the following statements must be correct?O If we randomly select one customer who has received a prize coupon, there is a 5% chance thatcoupon says "Win a free small drink" or "Win a free ice cream cone."O If we randomly select one customer who has received a prize coupon, there is a 40% chance thatcoupon says "Win a free ice cream cone" or "Win a free burger."O If we randomly select one customer who has received a prize coupon, there is a 75% chance thatcoupon says "Play Again" or "Win a free burger."Exactly 10% of the coupons say "Win a free burger."The proportion of coupons that say "Win a free burger" is equal to 0.50.

The fast-food restaurant provides prize coupons with the cups.

Answered: A fast-food restaurant attaches prize…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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State whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability. If not, give specific reasons for your answer. Deal a card from a shuffled deck: P(clubs) = 12/52, P(diamonds) = 12/52, P(hearts) = 12/52, P(spades) = 16/52.
You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
Evan is ordering dessert, and he wants the fudge pie. The waitress tells him that he can have up to four toppings: ice cream, chocolate sauce, whipped cream, and a cherry. Since he cannot decide how many of the toppings he wants, he tells the waitress to surprise him. If the waitress randomly chooses which toppings to add, what is the probability that Evan gets just chocolate sauce, and a cherry.
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)
Find the complement of each of the given probabilities:The complement of P(A) = 4%: = %The complement of P(~A) = 1%: = %The complement of P(A|B) = 99%: = %The complement of P(A|~B) = 43%: = %The complement of P(~A|~B) = 97%: = %
In a certain office, six men determine who will pay for coffee by each flipping a coin. If one of them has an outcome that is different from the other five, he must pay for the coffee. What is the probability that in any of the game there will be an "odd man out"? a. 0.1875 b. 0.1125 c. 0.0188 d. 0.1313 e. 0.0750
A bag of candy contains 100 individually wrapped candies. 22 of them are peppermint flavoured. Round all probabilities to four decimal points: If we pick 5 random candies, what is the probability that they are all peppermint flavoured? If we pick three random candies, what is the probability that exactly one will be peppermint flavoured? If we pick three random candies, what is the probability that at least one will be peppermint flavoured?
24% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
At summer camp, 60 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. Outcome Frequency Swimming 26 Hiking 34 Compare the probabilities and determine which statement is true. The theoretical probability of swimming, P(swimming), is , but the experimental probability is . The theoretical probability of swimming, P(swimming), is , but the experimental probability is . The theoretical probability of swimming, P(swimming), is , but the experimental probability is . The theoretical probability of swimming, P(swimming), is , but the experimental probability is .
students, 59% attend four-year institutions, and the attend two-year institutions. Males make up 44% of the students in the four-year institutions and 40% of the students in the two-year institutions. (a) Find the four probabilities for each combination of sex and type of institution in the following table. Be sure that your probabilities sum to 1. Male Female Four-year institution Two-year institution noilalugeg blo

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