# A salesperson goes door-to-door in a residential area to demonstrate the use of a new household appliance

## Question:

a. If the salesperson makes 15 demonstrations, what is the probability that there would be exactly 4 orders?

b. If the salesperson makes 16 demonstrations, what is the probability that there would be at most 4 orders?

c. If the salesperson makes 17 demonstrations, what is the probability that there would be at least 4 orders?

d. If the salesperson makes 18 demonstrations, what is the probability that there would be anywhere from 4 to 8 (both inclusive) orders?

e. If the salesperson wants to be at least 90% confident of getting at least 4 orders, at least how many demonstrations should she make?

f. The salesperson has time to make only 22 demonstrations, and she still wants to be at least 90% confident of getting at least 4 orders. She intends to gain this confidence by improving the quality of her demonstration and thereby improving the chances of getting an order at the end of a demonstration.

At least to what value should this probability be increased in order to gain the desired confidence? Your answer should be accurate to four decimal places.

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**Related Book For**

## Complete Business Statistics

**ISBN:** 9780077239695

7th Edition

**Authors:** Amir Aczel, Jayavel Sounderpandian