(i). What is the probability that the next customer pays $30 or more? (ii). Suppose a customer pays $30 or more. What is the probability that he pumps premium gas? (iii). Are the events A = {customer pays $30 or more} and B = {customer pumps premium gas} independent? Explain.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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For this practice, my teacher says the following answers are below. However, I don't know how he got these answers. Please explain.

i) ?.??

ii) ?.???

iii) not independent

16. At a self-service gas station, 40% of the customers pump regular gas, while 60% pump premium gas. Of those
who pump regular, 30% pay $30 or more. Of those who pump premium, 50% pay $30 or more.
(i). What is the probability that the next customer pays $30 or more?
(ii). Suppose a customer pays $30 or more. What is the probability that he pumps premium gas?
(iii). Are the events A = {customer pays $30 or more} and B = {customer pumps premium gas} independent?
Explain.
Transcribed Image Text:16. At a self-service gas station, 40% of the customers pump regular gas, while 60% pump premium gas. Of those who pump regular, 30% pay $30 or more. Of those who pump premium, 50% pay $30 or more. (i). What is the probability that the next customer pays $30 or more? (ii). Suppose a customer pays $30 or more. What is the probability that he pumps premium gas? (iii). Are the events A = {customer pays $30 or more} and B = {customer pumps premium gas} independent? Explain.
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