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An electronics store has received a shipment of 25 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 thirteen have a single slot. Suppose that six of the 25 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 = 25, x = 12, and p = 6/25 hypergeometric with N = 25, M = 12, and n = 6 O binomial with n = 12, x = 6, and p = 6/12 O hypergeometric with N = 12, M = 6, and n = 12 (b) Compute P(X= 2), P(X ≤ 2), and P(X2). (Round your answers to four decimal places.) P(X= 2) = 0.2665 P(X ≤ 2) = P(X ≥ 2) = X (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value 2.88 standard deviation 1.09 radios radios

An electronics store has received a shipment of 25 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 thirteen have a single slot. Suppose that six of the 25 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 = 25, x = 12, and p = 6/25 hypergeometric with N = 25, M = 12, and n = 6 O binomial with n = 12, x = 6, and p = 6/12 O hypergeometric with N = 12, M = 6, and n = 12 (b) Compute P(X= 2), P(X ≤ 2), and P(X2). (Round your answers to four decimal places.) P(X= 2) = 0.2665 P(X ≤ 2) = P(X ≥ 2) = X (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value 2.88 standard deviation 1.09 radios radios

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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An electronics store has received a shipment of 25 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 thirteen have a single slot. Suppose that six of the 25 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 = 25, x = 12, and p = 6/25 hypergeometric with N = 25, M = 12, and n = 6 O binomial with n = 12, x = 6, and p = 6/12 O hypergeometric with N = 12, M = 6, and n = 12 (b) Compute P(X= 2), P(X ≤ 2), and P(X2). (Round your answers to four decimal places.) P(X= 2) = 0.2665 P(X ≤ 2) = P(X ≥ 2) = X (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value 2.88 standard deviation 1.09 radios radios
Transcribed Image Text:An electronics store has received a shipment of 25 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 thirteen have a single slot. Suppose that six of the 25 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 = 25, x = 12, and p = 6/25 hypergeometric with N = 25, M = 12, and n = 6 O binomial with n = 12, x = 6, and p = 6/12 O hypergeometric with N = 12, M = 6, and n = 12 (b) Compute P(X= 2), P(X ≤ 2), and P(X2). (Round your answers to four decimal places.) P(X= 2) = 0.2665 P(X ≤ 2) = P(X ≥ 2) = X (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value 2.88 standard deviation 1.09 radios radios
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