There are 8 containers arranged on on a ship's deck in a single row.. The containers are of two different types, two of type A and 6 of type B. The containe of type A are supposed to be placed in the first 2 spots but since they are randomly placed some type B containers may preceed them. Let X be the numb of type B containers that preceed the first type A container. Find the probability function f(x) of X. You may use symbols ()+-/^ and preview your formula using they symbol f(x) =

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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There are 8 containers arranged on on a ship's deck in a single row.. The containers are of two different types, two of type A and 6 of type B. The containers
of type A are supposed to be placed in the first 2 spots but since they are randomly placed some type B containers may preceed them. Let X be the number
of type B containers that preceed the first type A container. Find the probability function f(x) of X.
You may use symbols ()+*/^ and preview your formula using they symbol
f(x) =
6
a
b
for x=0,1,.. 6
√a
|a|
k
b. What is the expected value of X?
Number
c. What is the variance of X?
Number
sin (a)
AY
E
Transcribed Image Text:There are 8 containers arranged on on a ship's deck in a single row.. The containers are of two different types, two of type A and 6 of type B. The containers of type A are supposed to be placed in the first 2 spots but since they are randomly placed some type B containers may preceed them. Let X be the number of type B containers that preceed the first type A container. Find the probability function f(x) of X. You may use symbols ()+*/^ and preview your formula using they symbol f(x) = 6 a b for x=0,1,.. 6 √a |a| k b. What is the expected value of X? Number c. What is the variance of X? Number sin (a) AY E
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