1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GarryVolchara [31]
3 years ago
8

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 5, 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 $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 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?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

a) The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b) The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c) The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d) A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

Step-by-step explanation:

<em>a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?</em>

For college graduates in business, the salary distributes normally with mean salary of $53,901 and standard deviation of $15,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-53901}{15000} =0.74

The probability is then

P(X>65,000)=P(z>0.74)=0.22965

The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

<em>b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?</em>

<em />

For college graduates in health sciences, the salary distributes normally with mean salary of $51,541 and standard deviation of $11,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-51541}{11000} =1.22

The probability is then

P(X>65,000)=P(z>1.22)=0.11123

The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

<em>c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?</em>

To calculate the probability of earning less than $40,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05

The probability is then

P(X

The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

<em />

<em>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?</em>

The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

X=\mu+z*\sigma=51,541+2.3265*11,000=51,541+25,592=77,133

A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

You might be interested in
Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answ
xz_007 [3.2K]

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

3 0
3 years ago
Question 2 i have no idea with functions
sergey [27]

Answer:

the range of all the function is [-1, + infinity[

but when it limits the domain it gonna be

(-1,0,3,8)

3 0
3 years ago
I now have another question to ask.
marissa [1.9K]

Answer:

23.6 ft

Step-by-step explanation:

Sketch a right triangle representing this situation.  The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°.  The "opposite side" is the reach of the ladder, which we'll call x.

Then:

                        opp

  • sin 65° = ----------
  •                 26 ft

or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.

Evaluating this, we get:

(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft

The ladder reaches 23.6 ft up the side of the building.

8 0
3 years ago
Choose the best estimate for the mass of a raisin.
sammy [17]

Answer:

A) 0.2g

Step-by-step explanation:

{.}

7 0
2 years ago
Read 2 more answers
Tim ran a quarter mile five times yesterday the table above shows the time of each run in minutes and seconds. For example the t
monitta
Honestly im not even sure lol
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is 69,000 rounded to the nearest hundred
    6·2 answers
  • What is the geometric interpretation of dividing the b-value by 2 while completing the square?
    10·1 answer
  • Using the Vertical Method to multiply these two polynomials, fill in the values for A, B, and C
    11·1 answer
  • 10. Multi-Step Mrs. Sullivan calculates that she
    9·1 answer
  • Suppose you have a total of $2.25 in dimes and nickels and you have twice as many dimes as nickels. How much of each coin do I h
    12·1 answer
  • PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
    8·2 answers
  • Please help me♡
    8·1 answer
  • Solve 2(x + 4) + 8x = 14 ​
    10·1 answer
  • What is the factored form of X^9+27 A (x^3-3)(x^6+3x^3+9) B(x^3+3)(x^6-3x^3+9) C(x-3)^3(x^6+3x^3+9) D(x+3)^3(x^6-3x^3+9)​
    11·1 answer
  • You want to buy a book the book is 8.50 but 24% off. How much will the book with 8% tax included?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!