A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 14 of these cameras, of which 6 have 3-megapixel resolution. Suppose that 3 of these cameras are randomly selected to be stored behind the counter; the other 11 are placed in a storeroom. Let X = the number of 3-megapixel cameras among the 3 selected for behind-the-counter storage. (a) What kind of distribution does X have (name and values of all parameters)? Distribution Parameters O binomial O n= 3 Op- 3/14 O geometric O hypergeometric O negative binomial ON = 14 O M6 O = 9/14 O g2 = 9/28 (b) Compute the following. (Enter your answers as fractions.) P(X = 2) P(X S 2) P(X 2 2) (c) Calculate the mean value and standard deviation of X. (Give your answers to three decimal places.) mean value standard deviation

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
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A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 14 of these cameras, of which 6 have 3-megapixel resolution. Suppose that 3 of these cameras are randomly selected to be
stored behind the counter; the other 11 are placed in a storeroom. Let X = the number of 3-megapixel cameras among the 3 selected for behind-the-counter storage.
(a) What kind of distribution does X have (name and values of all parameters)?
Distribution
Parameters
O binomial
O n = 3
O geometric
O p = 3/14
hypergeometric
O N = 14
O negative binomial
O M = 6
O µ = 9/14
O 2 = 9/28
(b) Compute the following. (Enter your answers as fractions.)
P(X = 2)
P(X S 2)
P(X 2 2)
(c) Calculate the mean value and standard deviation of X. (Give your answers to three decimal places.)
mean value
standard deviation
O O O
Transcribed Image Text:A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 14 of these cameras, of which 6 have 3-megapixel resolution. Suppose that 3 of these cameras are randomly selected to be stored behind the counter; the other 11 are placed in a storeroom. Let X = the number of 3-megapixel cameras among the 3 selected for behind-the-counter storage. (a) What kind of distribution does X have (name and values of all parameters)? Distribution Parameters O binomial O n = 3 O geometric O p = 3/14 hypergeometric O N = 14 O negative binomial O M = 6 O µ = 9/14 O 2 = 9/28 (b) Compute the following. (Enter your answers as fractions.) P(X = 2) P(X S 2) P(X 2 2) (c) Calculate the mean value and standard deviation of X. (Give your answers to three decimal places.) mean value standard deviation O O O
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