A waiter believes the distribution of his tips has a model that is slightly skewed to the left, with a mean of $9.40 and a standard deviation of $4.40. He usually waits on about 40 parties over a weekend of work. a) Estimate the probability what he will earn at least $400. b) how how much does he earn on the best 1% of such weekends? a) P(tips from 40 parties>$400=

a) 0.194

b) $440.8

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $9.40

Standard Deviation, σ = $4.40

Formula:

Standard error due to sampling =

a) P(tips from 40 parties > $400)

Thus, the average pay is

P(x > 10)

Calculation the value from standard normal z table, we have,  

b) We have to find the value of x such that the probability is 0.01

Calculation the value from standard normal z table, we have,  

Thus, the mean tip is $11.02

Tip for 40 parties =

Thus, he earns $440.8 on the best 1% of such weekends.

.

step-by-step explanation:

.

a) 0

step-by-step explanation:

i^413 x i^0 = 0 as any number multiplied by a zero is

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