In each of the following questions identify the described random variable as either binomial, Poisson, geometric, or exponential and describe a reasonable numerical value for all its parameters. Please use the conventional notation for the parameters i.e., p, A, n, etc. In some cases more than one random variable type might fit, but make sure that you select a choice where you can describe numerical values for all the parameters. No explanation is necessary for this problem. Only give your answers. (a) Bill loves to play basketball in his driveway. On average, he scores a basket about 1 out of 4 attempts. His mother calls him in for dinner, but Bill is determined to score one more basket before going inside. Let X1 be the number of attempts before he comes inside. What type of random variable is X1 and what are its parameters? (b) On average, there are 4 accidents per week at the corner of Elmwood Avenue and Monroe Avenue. Let X2 be the number of accidents at the corner of Elmwood Avenue and Monroe Avenue in a week. What type of random variable is X2 and what are its parameters? (c) This question refers to part (b). An accident just occurred at the Elmood/Monroe corner. Let X3 be the amount of time, measured in days, until the next accident at the corner. Assuming X3 is a continuous variable, what is the most convenient choice for the type of random variable X3 and what are its parameters? (d) A fair coin is flipped repeatedly. Each time the coin is heads, someone gives you 1 dollar. Let X4 be the amount of money you have received after 20 flips of the coin. What type of random variable is X4 and what are its parameters?
In each of the following questions identify the described random variable as either binomial, Poisson, geometric, or exponential and describe a reasonable numerical value for all its parameters. Please use the conventional notation for the parameters i.e., p, A, n, etc. In some cases more than one random variable type might fit, but make sure that you select a choice where you can describe numerical values for all the parameters. No explanation is necessary for this problem. Only give your answers. (a) Bill loves to play basketball in his driveway. On average, he scores a basket about 1 out of 4 attempts. His mother calls him in for dinner, but Bill is determined to score one more basket before going inside. Let X1 be the number of attempts before he comes inside. What type of random variable is X1 and what are its parameters? (b) On average, there are 4 accidents per week at the corner of Elmwood Avenue and Monroe Avenue. Let X2 be the number of accidents at the corner of Elmwood Avenue and Monroe Avenue in a week. What type of random variable is X2 and what are its parameters? (c) This question refers to part (b). An accident just occurred at the Elmood/Monroe corner. Let X3 be the amount of time, measured in days, until the next accident at the corner. Assuming X3 is a continuous variable, what is the most convenient choice for the type of random variable X3 and what are its parameters? (d) A fair coin is flipped repeatedly. Each time the coin is heads, someone gives you 1 dollar. Let X4 be the amount of money you have received after 20 flips of the coin. What type of random variable is X4 and what are its parameters?
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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Transcribed Image Text:In each of the following questions identify the described random variable as either binomial,
Poisson, geometric, or exponential and describe a reasonable numerical value for all its
parameters. Please use the conventional notation for the parameters i.e., p, A, n, etc. In some
cases more than one random variable type might fit, but make sure that you select a choice
where you can describe numerical values for all the parameters. No explanation is necessary
for this problem. Only give your answers.
(a) Bill loves to play basketball in his driveway. On average, he scores a basket about 1 out of 4
attempts. His mother calls him in for dinner, but Bill is determined to score one more basket
before going inside. Let X1 be the number of attempts before he comes inside. What type of
random variable is X1 and what are its parameters?
(b) On average, there are 4 accidents per week at the corner of Elmwood Avenue and Monroe
Avenue. Let X2 be the number of accidents at the corner of Elmwood Avenue and Monroe
Avenue in a week. What type of random variable is X2 and what are its parameters?
(c) This question refers to part (b). An accident just occurred at the Elmood/Monroe corner. Let
X3 be the amount of time, measured in days, until the next accident at the corner. Assuming
X3 is a continuous variable, what is the most convenient choice for the type of random variable
X3 and what are its parameters?
(d) A fair coin is flipped repeatedly. Each time the coin is heads, someone gives you 1 dollar. Let
X4 be the amount of money you have received after 20 flips of the coin. What type of random
variable is X4 and what are its parameters?
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