The length of time needed to complete a certain test is normally distributed with mean 77 minutes and standard deviation 11 minutes. Find the probability that it will take less than 63 minutes to complete the test.

The probability that it will take less than 63 minnutes to complete the test is 0.1003

Step-by-step explanation:

Let X be the amount of time that takes to complete the test. X has Normal distribution with parameters and . In order to find the probability of X being less than 63, we use the

standarization of X, which we will denote W. W is given by

The cumulative distribution function of W, which we denote , has well known values. You can find the values of in the attached file.

Since the desnity function of a standard Normal distribution is symmetric, then we have that for any positive value x.

Therefore, the probability that it will take less than 63 minnutes to complete the test is 0.1003.

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: