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

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...
icon
Related questions
Topic Video
Question
DISCRETE PROBABILITY DISTRIBUTION
Activity:
Eight persons enter a supermarket. From past experience, it is known that 25% of the people entering the supermarket
make a purchase.
Let X be the number of customers who will make a purchase.
1. What are the possible values of the random variable X?
2. Construct the probability distribution of X.
P(X=x)
3. What is the probability that
a) at least four persons will make a purchase?
b) two or three persons will make a purchase?
c) at most two persons will make a purchase?
4. Out of the eight persons entering a supermarket, how many are expected to make a purchase?
5. Compute the standard deviation of the random variable X.
Transcribed Image Text:DISCRETE PROBABILITY DISTRIBUTION Activity: Eight persons enter a supermarket. From past experience, it is known that 25% of the people entering the supermarket make a purchase. Let X be the number of customers who will make a purchase. 1. What are the possible values of the random variable X? 2. Construct the probability distribution of X. P(X=x) 3. What is the probability that a) at least four persons will make a purchase? b) two or three persons will make a purchase? c) at most two persons will make a purchase? 4. Out of the eight persons entering a supermarket, how many are expected to make a purchase? 5. Compute the standard deviation of the random variable X.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON