Of the ten(10) oranges contained in a box, six(6) are from Zanzibar and four(4) are from Peshawar. Three(3) oranges are randomly selected from that box. Let X denote the number of oranges from Zanzibar among the 3 selected. (a) Calculate the total number of possible outcomes (b) Find the probability distribution of the random variable X. (c) Using the probability distribution, find the mean and variance of X.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Of the ten(10) oranges contained in a box, six(6) are from Zanzibar and four(4) are
from Peshawar. Three(3) oranges are randomly selected from that box. Let X denote the
number of oranges from Zanzibar among the 3 selected.
(a) Calculate the total number of possible outcomes
(b) Find the probability distribution of the random variable X.
(c) Using the probability distribution, find the mean and variance of X.

Of the ten(10) oranges contained in a box, six(6) are from Zanzibar and four(4) are
from Peshawar. Three(3) oranges are randomly selected from that box. Let X denote the
number of oranges from Zanzibar among the 3 selected.
(a) Calculate the total number of possible outcomes
(b) Find the probability distribution of the random variable X.
(c) Using the probability distribution, find the mean and variance of X.
Transcribed Image Text:Of the ten(10) oranges contained in a box, six(6) are from Zanzibar and four(4) are from Peshawar. Three(3) oranges are randomly selected from that box. Let X denote the number of oranges from Zanzibar among the 3 selected. (a) Calculate the total number of possible outcomes (b) Find the probability distribution of the random variable X. (c) Using the probability distribution, find the mean and variance of X.
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