1. Identify if the following scenarios describe a discrete or continuous random variable. Explain your choice. (a) X = The number of persons in an emergency room (b) W = The weights of delivery trucks at a supermarket. lcominaan5 (c) H= The areas of houses being built in a new subdivision.

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1. Identify if the following scenarios describe a discrete or continuous random variable.
Explain your choice.
(a) X = The number of persons in an emergency room
181screte
(b) W = The weights of delivery trucks at a supermarket.
Lconinaas
(c) H= The areas of houses being built in a new subdivision.
2. Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. L
X the number of free throws Faith makes out of 20 shots.
(a) Explain why X is a binomial random variable.
(b) Calculate the mean of X.
(c) Calculate the standard deviation of X.
(d) Use the binomial probability formula to find P(X = 19). Interpret this value in context.
(e) Her coach says that he will let the team out of practice early if Faith makes 18 or me
free throws. What is the probability that practice ends early? Show your work.
2017 BFW Publishers Starnes/Tabor Statistics and Probability with Applications 3/e
Transcribed Image Text:1. Identify if the following scenarios describe a discrete or continuous random variable. Explain your choice. (a) X = The number of persons in an emergency room 181screte (b) W = The weights of delivery trucks at a supermarket. Lconinaas (c) H= The areas of houses being built in a new subdivision. 2. Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. L X the number of free throws Faith makes out of 20 shots. (a) Explain why X is a binomial random variable. (b) Calculate the mean of X. (c) Calculate the standard deviation of X. (d) Use the binomial probability formula to find P(X = 19). Interpret this value in context. (e) Her coach says that he will let the team out of practice early if Faith makes 18 or me free throws. What is the probability that practice ends early? Show your work. 2017 BFW Publishers Starnes/Tabor Statistics and Probability with Applications 3/e
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