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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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