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2. The owner of a gas station knows that 85% of all customers who purchase gas pay at the pump with a credit card. Assume that customers either pay at the pump with a credit card or not, independently of each other. One evening 25 customers arrive at the gas station and Tom counts the number of them that pay with a credit card. a) Define a random variable for this problem and state its distribution and parameters. b) How many of the 25 customers should the owner expect to pay with a credit card when they purchase gas? c) What is the probability that exactly 20 customers out of 25 pay at the pump with a credit card? (p • What is the probability that at least 19 customers out of 25 pay at the pump with a credit card? e) What is the probability that the number of customers purchasing gas with a credit card is somewhere from 17 to 23 customers?

2. The owner of a gas station knows that 85% of all customers who purchase gas pay at the pump with a credit card. Assume that customers either pay at the pump with a credit card or not, independently of each other. One evening 25 customers arrive at the gas station and Tom counts the number of them that pay with a credit card. a) Define a random variable for this problem and state its distribution and parameters. b) How many of the 25 customers should the owner expect to pay with a credit card when they purchase gas? c) What is the probability that exactly 20 customers out of 25 pay at the pump with a credit card? (p • What is the probability that at least 19 customers out of 25 pay at the pump with a credit card? e) What is the probability that the number of customers purchasing gas with a credit card is somewhere from 17 to 23 customers?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. The owner of a gas station knows that 85% of all customers who purchase gas pay at the pump with a credit card. Assume that customers either pay at the pump with a credit card or not, independently of each other. One evening 25 customers arrive at the gas station and Tom counts the number of them that pay with a credit card. a) ,Define a random variable for this problem and state its distribution and parameters. b) How many of the 25 customers should the owner expect to pay with a credit card when they purchase gas? c) What is the probability that exactly 20 customers out of 25 pay at the pump with a credit card? d) • What is the probability that at least 19 customers out of 25 pay at the pump with a credit card? e) What is the probability that the number of customers purchasing gas with a credit card is somewhere from 17 to 23 customers?
Transcribed Image Text:2. The owner of a gas station knows that 85% of all customers who purchase gas pay at the pump with a credit card. Assume that customers either pay at the pump with a credit card or not, independently of each other. One evening 25 customers arrive at the gas station and Tom counts the number of them that pay with a credit card. a) ,Define a random variable for this problem and state its distribution and parameters. b) How many of the 25 customers should the owner expect to pay with a credit card when they purchase gas? c) What is the probability that exactly 20 customers out of 25 pay at the pump with a credit card? d) • What is the probability that at least 19 customers out of 25 pay at the pump with a credit card? e) What is the probability that the number of customers purchasing gas with a credit card is somewhere from 17 to 23 customers?
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