eight have a single slot. Suppose that five of the 20 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 hypergeometric with N= 20, M = 12, and n = 5 O binomial with n = 20, x = 12, and p = 5/20 O binomial with n = 12, x = 5, and p = 5/12 O hypergeometric with N = 12, M = 5, 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) = 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 radios standard deviation radios

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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An electronics store has received a shipment of 20 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
eight have a single slot. Suppose that five of the 20 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)?
20, M = 12, and n = 5
hypergeometric with W
=
binomial with n = 20, x = 12, and p = 5/20
binomial with n = 12, x = 5, and p 5/12
hypergeometric with N = 12, M = 5, 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) =
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
radios
standard deviation
radios
Transcribed Image Text:An electronics store has received a shipment of 20 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 eight have a single slot. Suppose that five of the 20 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)? 20, M = 12, and n = 5 hypergeometric with W = binomial with n = 20, x = 12, and p = 5/20 binomial with n = 12, x = 5, and p 5/12 hypergeometric with N = 12, M = 5, 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) = 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 radios standard deviation radios
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