Find the indicated probability. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 170 and 220. Group of answer choices 0.1554 0.2257 0.3811 0.0703

The probability of a rating that is between 170 and 220 is 0.3811

Step-by-step explanation:

According to the given data we have the following:

μ=200

σ=50

To calculate the probability of a rating that is between 170 and 220 we would have to use the following formula:

z=x-μ/σ

Therefore, 170-200/50=-0.60

220-200/50=0.40

Using normal cdf formula we get normal cdf(-0.60,0.40)

=0.3811

Therefore, the probability of a rating that is between 170 and 220 is 0.3811

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

step-by-step explanation:

mean or average is 40.6