1. Eight persons enter a supermarket. From the past experience, it is known that 25% of the people entering the supermarket make a purchase. What is the possible values of the random variable X? Construct the probability distribution of X. X P(X=x) What is the probability that 1) at least four persons will make a purchase? 2) two or three persons will make a purchase? 3) a most two persons will make a purchase?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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1. Eight persons enter a supermarket. From the past experience, it is known that 25% of the people entering the supermarket make a purchase.
What is the possible values of the random variable X?
Construct the probability distribution of X.
X


P(X=x)


What is the probability that
1) at least four persons will make a purchase?
2) two or three persons will make a purchase?
3) a most two persons will make a purchase?

 

2. A fair coin is tossed. If “heads” occur, two chips are drawn from a basket with three blue and two red chips; otherwise, the experiment is terminated. Participants will be interested in the event E of observing two chips of different colors.

Give the sample space of the random experiment.


Find the a priori probability of event E

 

 

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