An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other fifteen 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 = 10, and n = 8 O binomial with n = 25, x = 10, and p = 8/25 O hypergeometric with N = 10, M = 8, and n = 10 O binomial with n = 10, x = 8, and p = 8/10 (b) Compute P(X= 2), P(X ≤ 2), and P(X2 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
An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other fifteen 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 = 10, and n = 8 O binomial with n = 25, x = 10, and p = 8/25 O hypergeometric with N = 10, M = 8, and n = 10 O binomial with n = 10, x = 8, and p = 8/10 (b) Compute P(X= 2), P(X ≤ 2), and P(X2 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
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. Ten of these have two
slots (so they can accommodate both devices), and the other fifteen 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 = 10, and n = 8
O binomial with n = 25, x = 10, and p = 8/25
hypergeometric with N = 10, M = 8, and n = 10
O binomial with n = 10, x = 8, and p = 8/10
(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(X22)=
(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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