Zainab runs her own business where she leads guided day-long tours for small groups of tourists in her city. Each

tour has a maximum of 3 guests. Let X represent the number of customers Zainab gets on a randomly chosen

day. Based on previous data, here is the probability distribution of X along with summary statistics:

X = #of customers

0

1

P(X)

0.20

0.10

0.40

0.30

Mean: Hx = 1.8

Standard deviation: Ox 1.08

Pro

Tee

It costs Zainab $5 each day to pay for her own transportation to her business, and then each customer she gets

pays her $60. Let Y represent Zainab's net gain on a randomly chosen day.

What are the mean and standard deviation of Y?

Hy =

dollars

dollars