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 eight 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 hypergeometric with N = 25, M = 12, and n = 8 binomial with n = 12, x = 8, and p = 8/12 binomial with n = 25, x = 12, and p = 8/25 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(X = 2) = P(X S 2) = P(X 2 2) =
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 eight 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 hypergeometric with N = 25, M = 12, and n = 8 binomial with n = 12, x = 8, and p = 8/12 binomial with n = 25, x = 12, and p = 8/25 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(X = 2) = P(X S 2) = P(X 2 2) =
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 eight 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 hypergeometric with N = 25, M = 12, and n = 8
O binomial with n = 12, x = 8, and p = 8/12
O binomial with n = 25, x = 12, and p = 8/25
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(X = 2) =
P(X S 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
radios
standard deviation
radios
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