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Vika [28.1K]
3 years ago
15

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation

of $5,000. Refer to Exhibit 6-4. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $47,500
Business
1 answer:
Sophie [7]3 years ago
8 0

Answer: The answer is 6.68%

Explanation:

Using the z value formula

Z = x - mean / standard deviation

x = $47,500

Mean = $40,000

Standard deviation = $5,000

= 47,500 - 40,000 / 5,000

= 7,500 / 5,000

= 1.5

Then we look for z value of 1.5 to the left of normal distribution table because the probability is at least

The z value is 0.0668

0.0668 × 100

= 6.68%

Therefore the probability that an individual with an MBA degree will get a starting salary of at least $47,500 is 6.68%

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Answer:

Years to maturity       Price of Bond C            Price of Bond Z

         4                               $1,084.42                       $711.03

         3                               $1,065.93                       $774.31

         2                               $1,045.80                      $843.23

         1                                $1,023.88                       $918.27

Explanation:

Note: See the attached excel for the calculations of the prices of Bond C and Bond Z.

The price of each bond of the bond can be calculated using the following excel function:

Bond price = -PV(rate, NPER, PMT, FV) ........... (1)

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rate = Yield to maturity of each of the bonds

NPER = Years to maturity

PMT = Payment = Coupon rate * Face value

FV = Face value

Substituting all the relevant values into equation (1) for each of the Years to Maturity and inputting them into relevant cells in the attached excel sheet, we have:

Years to maturity       Price of Bond C            Price of Bond Z

         4                               $1,084.42                       $711.03

         3                               $1,065.93                       $774.31

         2                               $1,045.80                      $843.23

         1                                $1,023.88                       $918.27

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