You have a well-mixed bowl of candy with 20 red M&Ms and 32 red Skittles, and your unsuspecting friend reaches in and scoops out 12 candies. (a) What is the probability that your friend will get exactly 10 M&Ms? (b) How many Skittles should your friend expect
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You have a well-mixed bowl of candy with 20 red M&Ms and 32 red Skittles, and your unsuspecting friend reaches in and scoops out 12 candies.
(a) What is the probability that your friend will get exactly 10 M&Ms?
(b) How many Skittles should your friend expect to get?
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- Tammy is practicing her basketball free throws. On each attempt, she has a 0.2 chance ofsuccessfully making it. Each attempt is independent of the previous ones. She will keepattempting free throws until she makes a successful one.(a) What is the probability that she will make exactly three attempts?(b) What is the probability that she will make no more than three attempts?(c) What is the probability that she will need to make more than three attempts?(d) Prove, using series from calculus, that the probability that she will ultimately make a successful attempt is 1.An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number of blue balls. A single ball is drawn from each urn. The probability that both balls are the same color is 0.44. Calculate the number of blue balls in the second urn.(a) 2(b) 4(c) 6(d) 8c) A manufacturer is considering the production of a new and better mousetrap. She estimates the probability that the new mousetrap is successful is ¾. If it is successful, it would generate profits of $174,000. The development costs of the mousetrap are $121,000. Should the manufacturer proceed with plans for the new mousetrap? Why or why not?
- Tom buys a bag of cookies that contains 9 chocolate chip cookies, 9 peanut butter cookies, 4 sugar cookies and 7 oatmeal raisin cookies. What is the probability that Tom randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects another chocolate chip cookie? Express your answer as a reduced fraction.You purchase a brand new car for $17,000 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. X P(X)Dan's Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 2% of those he handles. Betty and Chuck each wash 30% of the dishes, and Betty breaks only 2% of hers, but Chuck breaks 4% of the dishes he washes. You go to Dan's for supper one night and hear a dish break at the sink. What's the probability that Chuck is on the job? The probability that Chuck is on the job is. (Round to three decimal places as needed.)
- Dan's Diner employs three dishwashers. Al washes 20% of the dishes and breaks only 1% of those he handles. Betty and Chuck each wash 40% of the dishes, and Betty breaks only 1% of hers, but Chuck breaks 3% of the dishes he washes. You go to Dan's for supper one night and hear a dish break at the sink. What's the probability that Chuck is on the job? The probability that Chuck is on the job is (Round to three decimal places as needed.) An PasA football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four players are selected at random to serve as captains. Find the probability of the following. Enter your answers as fractions or as decimals rounded to 4 decimal places. (a)All 4 are seniors. P(4 seniors)=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
- Kiara sets up a passcode on her smart phone, which allows only eight-digit codes. She has heard that it's more secure if a digit is repeated in the passcode. A spy sneaks a look at Kiara's smart phone and sees her fingerprints on the screen over seven numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.(b) Deandre has a box of candies with different flavors. He will randomly choose one piece of candy. The probability that he chooses a strawberry-flavored piece 11 is What are the odds against him choosing a strawberry-flavored piece? 14 믐 O to O 0:0Suppose that you flip a fair coin 6 times in a row and record each results. We want to find the probability that you get both heads and tails.(a) How many different outcomes can you get?(b) How many different outcomes contain both heads and tails?(c) What is the probability that you got both heads and tails?
