1. For parts a-c, state whether X follows a binomial distribution. If X is binomial, give the values of n and p. If it is not, explain why. a) Steve is playing fetch with his dog Blue. He throws the ball 10 times, each with a 75% chance that Blue catches the ball. Let X = the number of times Blue catches the ball. b) Rebecca is competing in a trivia game for her statistics class. Two people compete to solve a problem the quickest and the winner stays to challenge the next student. Assume the problems are independent and Rebecca has a 40% chance of winning a given round. Let X = the number of rounds Rebecca wins before losing. c) A certain park in California reports a 23% chance of seeing a bear while on a hike. To test this claim, you interview 15 solo hikers and ask them if they saw a bear. Let X be the number of hikers who saw a bear. d) A local pizza place has 16 toppings. You and your friends are looking to buy a 3- topping pizza. How many different possible combinations could be put on the pizza? Assume all 3 toppings are different. (Hint: Use the binomial coefficient).

1. For parts a-c, state whether X follows a binomial distribution. If X is binomial, give the values of n and p. If it is not, explain why. a) Steve is playing fetch with his dog Blue. He throws the ball 10 times, each with a 75% chance that Blue catches the ball. Let X = the number of times Blue catches the ball. b) Rebecca is competing in a trivia game for her statistics class. Two people compete to solve a problem the quickest and the winner stays to challenge the next student. Assume the problems are independent and Rebecca has a 40% chance of winning a given round. Let X = the number of rounds Rebecca wins before losing. c) A certain park in California reports a 23% chance of seeing a bear while on a hike. To test this claim, you interview 15 solo hikers and ask them if they saw a bear. Let X be the number of hikers who saw a bear. d) A local pizza place has 16 toppings. You and your friends are looking to buy a 3- topping pizza. How many different possible combinations could be put on the pizza? Assume all 3 toppings are different. (Hint: Use the binomial coefficient).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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