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 six 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 = 12, x = 6, and p = 6/12 O binomial with n = 30, x = 12, and p = 6/30 hypergeometric with N = 30, M = 12, and n = 6 O hypergeometric with N = 12, M = 6, 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) .2778 = P(X ≤ 2) = .4028 P(X ≥ 2) = .8749 (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation 2.8 1.15 radios radios Need Help? Read It Viewing Saved Work Revert to Last Response.

MATLAB: An Introduction with Applications
6th Edition
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 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 six 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 = 12, x = 6, and p = 6/12
O binomial with n = 30, x = 12, and p = 6/30
hypergeometric with N = 30, M = 12, and n = 6
O hypergeometric with N = 12, M = 6, 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) .2778
=
P(X ≤ 2) = .4028
P(X ≥ 2) = .8749
(c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.)
mean value
standard deviation
2.8
1.15
radios
radios
Need Help?
Read It
Viewing Saved Work Revert to Last Response.
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 six 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 = 12, x = 6, and p = 6/12 O binomial with n = 30, x = 12, and p = 6/30 hypergeometric with N = 30, M = 12, and n = 6 O hypergeometric with N = 12, M = 6, 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) .2778 = P(X ≤ 2) = .4028 P(X ≥ 2) = .8749 (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation 2.8 1.15 radios radios Need Help? Read It Viewing Saved Work Revert to Last Response.
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