According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health sciences is $51,541. The average starting salary for new college graduates in business is $53,901 (National Association of Colleges and Employers website, January 2015). Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $11,000. Assume that the standard deviation for starting salaries for new college graduates in business is $15,000.
a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?
b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?
c. What is the probability that a new college graduate in health sciences will earn a starting salary of less than $40,000?
d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?

Part (a) : 0.2297

Part (b) :  0.1112

Part (c) : 0.1469

Part (d) : 77,171

Step-by-step explanation:

Given info on Health Sciences:

Mean = $51,541

Standard Deviation = $11,000

Given info on Business:

Mean = $53,901

Standard Deviation = $15,000

Part (a)

Let X represents the new college graduate in business,

P (X ≥ 65,000) = 1 - P (X < 65,000)

= 1 - P ( z < )

= 1 - P ( z < 0.74)

= 1 - 0.77035

= 0.2297

Part (b)

Let Y represents the new college graduate in Health Sciences,

P (Y ≥ 65,000) = 1 - P (Y < 65,000)

= 1 - P ( z < )

= 1 - P ( z < 1.22)

= 1 - 0.88877

= 0.1112

Part (c)

Let Y represents the new college graduate in Health Sciences,

P (Y  < 40,000) = P (Y < )

= P ( z < -1.05 )

= 0.1469

Part (d)

To have a starting salary higher than 99%, the z-score = 2.33. Let A represents the salary of a new college graduate in health sciences higher than 99% of all starting salaries.

77,171 new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in health sciences.

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: