Sophie is a dog that loves to play catch. Unfortunately, she isn't very good, and the probability that she catches a ball is only 0.3. Let x be the number of tosses required until Sophie catches a ball. (a) Does x have a binomial or a geometric distribution? ◇ binomial ○ geometric (b) What is the probability that it will take exactly two tosses for Sophie to catch a ball? P(exactly two tosses) = (c) What is the probability that more than three tosses will be required? P(more than three tosses) =
Sophie is a dog that loves to play catch. Unfortunately, she isn't very good, and the probability that she catches a ball is only 0.3. Let x be the number of tosses required until Sophie catches a ball. (a) Does x have a binomial or a geometric distribution? ◇ binomial ○ geometric (b) What is the probability that it will take exactly two tosses for Sophie to catch a ball? P(exactly two tosses) = (c) What is the probability that more than three tosses will be required? P(more than three tosses) =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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![Sophie is a dog that loves to play catch. Unfortunately, she isn't very good, and the probability that she catches a ball is only 0.3. Let x be the number of tosses
required until Sophie catches a ball.
(a) Does x have a binomial or a geometric distribution?
◇ binomial
○ geometric
(b) What is the probability that it will take exactly two tosses for Sophie to catch a ball?
P(exactly two tosses)
=
(c) What is the probability that more than three tosses will be required?
P(more than three tosses)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6484a2ba-7b6c-4144-bd9b-1f2d784a131b%2F22eb2677-bd39-4451-9f0d-1de4ce58d7e3%2F8j4tw3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sophie is a dog that loves to play catch. Unfortunately, she isn't very good, and the probability that she catches a ball is only 0.3. Let x be the number of tosses
required until Sophie catches a ball.
(a) Does x have a binomial or a geometric distribution?
◇ binomial
○ geometric
(b) What is the probability that it will take exactly two tosses for Sophie to catch a ball?
P(exactly two tosses)
=
(c) What is the probability that more than three tosses will be required?
P(more than three tosses)
=
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