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wariber [46]
1 year ago
15

A recent survey by the American Accounting Association revealed 52% of accountants have the Certified Public Accounting (CPA) ce

rtificate. Suppose we select a sample of 15 accountants.
SAT
1 answer:
UkoKoshka [18]1 year ago
7 0

The random variable is given as the number of accountants that posses the CPA certificate. This is based on the fact that N= 15 and P = 0.52.

<h3>What is a random variable?</h3>

A random variable is a variable with an unknown value or a function that gives values to each of the results of an experiment.

<h3>How is the random variable distributed?</h3>

The random variable are distributed binomially.

<h3>What is the probability five of the 15 accountants are CPAs? </h3>

The probability that  five of the 15 accountants are CPAs is 0.0741.

This is derived as follows:

P (x =5) = C^{15} _{5}

= 0.52^{5}

= (1- 0.52)^{15-5}

= 0.07412836549

P(x=5) ≈ 0.0741

<h3>What is the probability seven or eight of the 15 accountants are CPAs? </h3>

P (x = 7 or x = 8) =

P (x = 7) + P (x = 8)

= C^{15} _{7} (0.52)⁷ (o.48)⁸ + C^{15} _{8} (0.52)⁸ (0.48)⁷

= 0.18642 +  0.20196

= 0.388

learn more about random variable:
brainly.com/question/14356285
#SPJ1

Full Question:

A recent survey by the American Accounting Association revealed 52% of accountants have the Certified Public Accounting (CPA) certificate. Suppose we select a sample of 15 accountants.

a-1. What is the random variable?

a-2. How is the random variable distributed?

b. What is the probability five of the 15 accountants are CPAs? (Round your answer to 4 decimal places.)

c. What is the probability seven or eight of the 15 accountants are CPAs? (Round your answer to 4 decimal places.)

d. What is the mean of the distribution of “number of CPA’s among 15 accountants”? (Round your answer to 1 decimal place.)

e. What is the variance of the distribution of “number of CPA’s among 15 accountants”? (Round your answer to 3 decimal places.)

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a. U.S labor productivity in 2035 would be $206,800 per worker.

b.  U.S labor productivity in 2035 would be $68,100 per worker.

c. Labor productivity per worker in 2035 with the higher growth rate is 3.04

a. Calculation to determine  what the U.S labor productivity in 2035 would be $ per worker assuming productivity grows by 3.7 percent per year

Given:

Labor Productivity in 2015 = $100,000

Growth rate = 3.7%pa or  0.037

Using this formula

Future value = Present value*(1+Growth rate)^Number of years

Let plug in the formula

2035 labor productivity per worker=100,000(1 + 0.037)^20

2035 labor productivity per worker= $206,811.71

2035 labor productivity per worker= $206,800

( rounded to nearest $100)

b.Calculation to determine  what the U.S labor productivity in 2035 would be $ per worker assuming productivity falls to 1.9 percent per year

Given:

Labor Productivity in 2015 = $100,000

Growth rate = -1.9%pa or -0.019

Using this formula

Future value = Present value*(1+Growth rate)^Number of years

Let plug in the formula

2035 labor productivity per worker= 100,000(1-0.019)^20

2035 labor productivity per worker= $68,136.55

2035 labor productivity per worker= $ 68,100

( rounded to nearest $100)

c. Calculation to determine How much larger would labor productivity per worker be in 2035 with the higher growth rate

2035 labor productivity per worker=($206,811.711/$68,136.55121)

2035 labor productivity per worker= 3.04 times

Inconclusion:

a. U.S labor productivity in 2035 would be $206,800 per worker.

b.  U.S labor productivity in 2035 would be $68,100 per worker.

c. Labor productivity per worker in 2035 with the higher growth rate is 3.04

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D)
olganol [36]

Answer:

d oil

not

scur

Explanation:

for me is d oil

but I'm not sure it's

ok for all

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In a school 2/3 of the students study a language.
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(x+y)^2=56
x^2+2xy+y^2=56. we know that xy=12
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