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
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ISBN:9781285463247
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76fb667-0622-451e-86fc-d3866765f8e5%2F3449a3f8-8682-4f75-b296-d507b57410e2%2Fzeeun5q_processed.png&w=3840&q=75)
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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