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 0.2. Let x be the number of tosses required until Sophie catches a ball. (a) Does x have a binomial or a geometric distribution? O binomial O 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 four tosses will be required? P(more than four tosses) = You may need to use the appropriate table in Appendix A to answer this question.

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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
0.2. Let x be the number of tosses required until Sophie catches a ball.
(a) Does x have a binomial or a geometric distribution?
O binomial
O 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 four tosses will be required?
P(more than four tosses)
You may need to use the appropriate table in Appendix A to answer this question.
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 0.2. Let x be the number of tosses required until Sophie catches a ball. (a) Does x have a binomial or a geometric distribution? O binomial O 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 four tosses will be required? P(more than four tosses) You may need to use the appropriate table in Appendix A to answer this question.
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