A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.045.0 and 55.055.0 minutes. Find the probability that a given class period runs between 50.550.5 and 51.2551.25 minutes.

Step-by-step explanation:

For this case we define X as our random variable representing the lenghts of her classes in minutes.

We know that the distribution for X is uniform and is given by:

The density function is given by:

for other case

The cumulative distirbution function is given by:

And we want to find this probability:

We can find this probability using the cumulative distribution function and we got:

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.