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An electronics store has received a shipment of 30 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eighteen have a single slot. Suppose that eight of the 30 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O binomial with n = 30, x= 12, and p = 8/30 hypergeometric with N= 30, M = 12, and n = 8 O binomial with n= 12, x = 8, and p = 8/12 hypergeometric with N = 12, M = 8, and n = 12 (b) Compute P(X= 2), P(X ≤ 2), and P(X 2 2). (Round your answers to four decimal places.) P(X=2) 1.1328 X P(X ≤ 2) = P(X 2 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation radios radios

An electronics store has received a shipment of 30 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eighteen have a single slot. Suppose that eight of the 30 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O binomial with n = 30, x= 12, and p = 8/30 hypergeometric with N= 30, M = 12, and n = 8 O binomial with n= 12, x = 8, and p = 8/12 hypergeometric with N = 12, M = 8, and n = 12 (b) Compute P(X= 2), P(X ≤ 2), and P(X 2 2). (Round your answers to four decimal places.) P(X=2) 1.1328 X P(X ≤ 2) = P(X 2 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation radios radios

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 32EQ
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An electronics store has received a shipment of 30 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eighteen have a single slot. Suppose that eight of the 30 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O binomial with n = 30, x= 12, and p = 8/30 Ⓒhypergeometric with N = 30, M = 12, and n = 8 O binomial with n = 12, x = 8, and p = 8/12 O hypergeometric with N = 12, M = 8, and n = 12 (b) Compute P(X=2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X=2) 1.1328 X P(X ≤ 2) = P(X ≥ 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation radios radios
Transcribed Image Text:An electronics store has received a shipment of 30 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eighteen have a single slot. Suppose that eight of the 30 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O binomial with n = 30, x= 12, and p = 8/30 Ⓒhypergeometric with N = 30, M = 12, and n = 8 O binomial with n = 12, x = 8, and p = 8/12 O hypergeometric with N = 12, M = 8, and n = 12 (b) Compute P(X=2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X=2) 1.1328 X P(X ≤ 2) = P(X ≥ 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation radios radios
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