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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
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?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON