Section II 14. An urn has 3 red marbles, 2 white marbles, and 2 blue mar- bles. Marbles are sampled, without replacement, until obtaining a red marble. before finding the first red marble. Let X denote the number of marbles that must be sampled (a) table below. Show that the values of the pmf of X are as given in the xf(x) 3/7 2/7 2 6/35 3 3/35 4 1/35 0. 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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(b)
sampled before finding the first red marble.
Compute the expected number of marbles that must be
Transcribed Image Text:(b) sampled before finding the first red marble. Compute the expected number of marbles that must be
Section II
14.
An urn has 3 red marbles, 2 white marbles, and 2 blue mar-
bles. Marbles are sampled, without replacement, until obtaining a red
marble. Let X denote the number of marbles that must be sampled
before finding the first red marble.
(a)
Show that the values of the pmf of X are as given in the
table below.
x f(x)
03/7
1 2/7
2 6/35
3 3/35
4 1/35
Transcribed Image Text:Section II 14. An urn has 3 red marbles, 2 white marbles, and 2 blue mar- bles. Marbles are sampled, without replacement, until obtaining a red marble. Let X denote the number of marbles that must be sampled before finding the first red marble. (a) Show that the values of the pmf of X are as given in the table below. x f(x) 03/7 1 2/7 2 6/35 3 3/35 4 1/35
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