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According to research, the amount of spending of a randomly selected customer has a normal distribution with a mean of 155 dollars and a standard deviation of 23.5 dollars. Let X be the amount of spending of a randomly selected customer and let S be the total amount of spending of a random sample of size 33. 1. Describe the probability distribution of X and state its parameters μ and σ: ✗~Select an answer (μ = =b and find the probability that the amount of spending of a randomly selected customer is between 191 and 225 dollars. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of S and state its parameters μs and σs: (Round the answers to 1 decimal place) S~Select an answer (μs = σs= and find the probability that the total amount of spending of a sample of 33 randomly selected customers is more than 4925 dollars. (Round the answer to 4 decimal places)

According to research, the amount of spending of a randomly selected customer has a normal distribution with a mean of 155 dollars and a standard deviation of 23.5 dollars. Let X be the amount of spending of a randomly selected customer and let S be the total amount of spending of a random sample of size 33. 1. Describe the probability distribution of X and state its parameters μ and σ: ✗~Select an answer (μ = =b and find the probability that the amount of spending of a randomly selected customer is between 191 and 225 dollars. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of S and state its parameters μs and σs: (Round the answers to 1 decimal place) S~Select an answer (μs = σs= and find the probability that the total amount of spending of a sample of 33 randomly selected customers is more than 4925 dollars. (Round the answer to 4 decimal places)

Calculus For The Life Sciences
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.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 7E
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SPACA FOR PA Z According to research, the amount of spending of a randomly selected customer has a normal distribution with a mean of 155 dollars and a standard deviation of 23.5 dollars. Let X be the amount of spending of a randomly selected customer and let S be the total amount of spending of a random sample of size 33. 1. Describe the probability distribution of X and state its parameters and σ: μ X~Select an answer (μ= ☐ =0 and find the probability that the amount of spending of a randomly selected customer is between 191 and 225 dollars. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of S and state its parameters us and σs: (Round the answers to 1 decimal place) S~Select an answer (μS = =0,0 σς = and find the probability that the total amount of spending of a sample of 33 randomly selected customers is more than 4925 dollars. (Round the answer to 4 decimal places)
Transcribed Image Text:SPACA FOR PA Z According to research, the amount of spending of a randomly selected customer has a normal distribution with a mean of 155 dollars and a standard deviation of 23.5 dollars. Let X be the amount of spending of a randomly selected customer and let S be the total amount of spending of a random sample of size 33. 1. Describe the probability distribution of X and state its parameters and σ: μ X~Select an answer (μ= ☐ =0 and find the probability that the amount of spending of a randomly selected customer is between 191 and 225 dollars. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of S and state its parameters us and σs: (Round the answers to 1 decimal place) S~Select an answer (μS = =0,0 σς = and find the probability that the total amount of spending of a sample of 33 randomly selected customers is more than 4925 dollars. (Round the answer to 4 decimal places)
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