Without an appointment, the average waiting time in minutes at the doctor's office has the probability density function f(t)=152, where 0≤t≤52. step 1 of 2: what is the probability that you will wait at least 38 minutes? enter your answer as an exact expression or rounded to 3 decimal places.

0.269

Step-by-step explanation:

Data provided in the question:

Probability density function f(t) =

where,  0 ≤ t ≤ 52

Now,

The probability that we will wait at least 38 minutes = Probability we will wait more than 38 minutes

thus,

integrating the Probability density function from 38 minutes to maximum time 52 minutes

therefore,

P =

or

P =

or

P =  

or

P = 0.269

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: