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

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