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 eight 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 binomial with n = 20, x= 12, and p = 8/20 O binomial with n = 12, x = 8, and p = 8/12 hypergeometric with N= 20, M12, and n=8 O hypergeometric with N= 12, M = 8, and n = 12 (b) Compute P(X= 2), P(X S 2), and P(X 2 2). (Round your answers to four decimal places.) P(X2)=1.47 P(X S 2)=0.914 P(X 2 2) = 0.316 x x (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value 2.56 X radios standard deviation 1.6 x radios

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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 eight 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 binomial with n = 20, x = 12, and p = 8/20
8, and p = 8/12
O binomial with n = 12, x =
Ⓒhypergeometric with N = 20, M = 12, and n = 8
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) 1.47
P(X ≤ 2) = 0.914
P(X22) = 0.316
X
X
(c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.)
mean value
2.56
X radios
standard deviation
1.6
X 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 eight 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 binomial with n = 20, x = 12, and p = 8/20 8, and p = 8/12 O binomial with n = 12, x = Ⓒhypergeometric with N = 20, M = 12, and n = 8 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) 1.47 P(X ≤ 2) = 0.914 P(X22) = 0.316 X X (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value 2.56 X radios standard deviation 1.6 X radios
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