Question 2023 Business Finance

2023 A person s level of blood glucose and diabetes are closely related Let x be a

A person’s level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 73 and standard deviation of σ = 20. What is the probability that, for an adult after a 12-hour fast, x is more than 85?

Select one:

a. 0.113

b. 0.274

c. 0.363

d. 0.226

e. 0.726

A person’s level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 90 and standard deviation of σ = 21 What is the probability that, for an adult after a 12-hour fast, x is less than 53?

Select one:

a. 0.480

b. 0.461

c. 0.020

d. 0.230

e. 0.039

A person’s level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 81 and standard deviation of σ = 21. What is the probability that, for an adult after a 12-hour fast, x is between 113 and 121?

Select one:

a. 0.936

b. 0.954

c. 0.028

d. 0.035

e. 0.064

Assume that about 40% of all U.S. adults try to pad their insurance claims. Suppose that you are the director of an insurance adjustment office. Your office has just received 108 insurance claims to be processed in the next few days. What is the probability that fewer than 40 of the claims have been padded?

Select one:

a. 0.766

b. 0.298

c. 0.265

d. 0.735

e. 0.234

Assuming that the heights of college women are normally distributed with mean 62 inches and standard deviation 3.5 inches, what percentage of women are taller than 55 inches?

Select one:

a. 84.1%

b. 0.1%

c. 99.9%

d. 50%

e. 97.7%

Assuming that the heights of college women are normally distributed with mean 64 inches and standard deviation 1.5 inches, what percentage of women are between 65.5 inches and 68.5 inches?

Select one:

a. 2.1%

b. 15.7%

c. 97.6%

d. 13.6%

e. 34.1%

Find the area under the standard normal curve over the interval specified below.

To the left of z = 1

Select one:

a. 0.001

b. 0.999

c. 0.841

d. 0.023

e. 0.159

Find the area under the standard normal curve over the interval specified below.

To the right of z =3

Select one:

a. 0.977

b. 0.999

c. 0.159

d. 0.841

e. 0.001

Find the area under the standard normal curve over the interval specified below.

Between z = 1 and 2

Select one:

a. 0.341

b. 0.021

c. 0.819

d. 0.136

e. 0.976

Find z such that 90.1% of the standard normal curve lies between -z and z.

Select one:

a. 1.595

b. 0.286

c. 0.228

d. 0.386

e. 3.997

Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. Suppose that for healthy females, x has an approximately normal distribution with mean μ = 4.8 and standard deviation σ = 0.3 Convert the following x interval from a laboratory test to a z interval.

3.9 < x < 5.4

Select one:

a. 13.00 < z < 18.00

b. -3.00 < z < 2.00

c. -3.00 < z < 18.00

d. 13.00 < z < 34.00

e. 2.00 < z < 13.00

Question text

Let z be a random variable with a standard normal distribution. Find the indicated probability below.

*P(0.5 ≤ z ≤ 1.4)*

Select one:

a. 0.228

b. 0.419

c. 0.309

d. 0.919

e. 0.816

Find z such that 62.1% of the standard normal curve lies to the left of z.

Select one:

a. 0.494

b. -0.308

c. -1.167

d. 1.167

e. 0.308

Let z be a random variable with a standard normal distribution. Find the indicated probability below.

*P(z ≤ 1.5)*

Select one:

a. 0.022

b. 0.967

c. 0.033

d. 0.067

e. 0.933

Let z be a random variable with a standard normal distribution. Find the indicated probability below.

*P(z ≥ 2)*

Select one:

a. 0.489

b. 0.239

c. 0.477

d. 0.511

e. 0.023

The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that an 18-year-old man selected at random is greater than 74 inches tall?

Select one:

a. 0.9772

b. 0.0456

c. 0.0228

d. 0.9544

e. 0.4772

The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the height of an 18-year-old man selected at random is between 69 inches and 73 inches?

Select one:

a. 0.3552

b. 0.3232

c. 0.1768

d. 0.5302

e. 0.6768

The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height

of a sample of ten 18-year-old men will be between 71 and 78 inches?

Select one:

a. 0.4992

b. 0.0008

c. 0.0318

d. 0.0016

e. 0.9992

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