If the salesperson makes 15 demonstrations, what is the probability that at least one order will be made

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A salesperson goes door-to-door in a residential area to demonstrate the use of a new household appliance to potential customers. At the end of the demonstration, it was found that 1 out of 5 potential customers would place an order for the product.

If the salesperson makes 15 demonstrations, what is the probability that at least one order will be made

Expert Solution
Step 1

The Binomial probability distribution is,

PX=x=nxpx1-pn-x

In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.

The random variable X is defined as the number of customers would place an order for the product which follows binomial distribution with sample size 15 and probability of success 0.2=15.

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