Waiting times for an order at Starbucks for all drive-through customers in the US have a uniform distribution from 3 min to 11 min (mean = 7 min, standard deviation = 2.3 min). What distribution would you use to find the probability that a randomly selected Starbucks drive-through customer in the US waits at most 9 minutes to receive their order?

And we can use the cumulative distribution function given by:

And using this we got:

Step-by-step explanation:

For this case we assume that X= represent the waiting times and for this case we have the following distribution:

And the expected value is given by:

And the variance is given by:

And we can find the deviation like this:

And we want to find this probability:

And we can use the cumulative distribution function given by:

And using this we got:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)