BUS 204 Week 7 Assignment

BUS 204 Week 7 Assignment | MiraCosta College 

ReviewHomework:Chapter 6 Homework

1.

In part b of the Standard Normal Distribution practice problem, what is the probability that x is

<

90? Round your answer to four decimal places.  0.3085

2.

For a normally distributed population with

μ=300

and

σ=10,

determine the standardized z-value for each of the x-values below.

a.

x=320

b.

x=295

c.

x=350

3.

For a standardized normal distribution, calculate the probabilities below.

a.

P(z<1.2)

b.

P(z≥0.50)

c.

P(−1.25<z<1.75)

4.

A population is normally distributed with

μ=100

and

σ=25.

a.            Find the probability that a value randomly selected from this population will have a value greater than

140.

b.            Find the probability that a value randomly selected from this population will have a value less than

95.

c.             Find the probability that a value randomly selected from this population will have a value between

95

and

140.

5.

The average number of acres burned by forest and range fires in a large county is

3,600

acres per year, with a standard deviation of

950

acres. The distribution of the number of acres burned is normal.

a.            Compute the probability that more than

4,000

acres will be burned in any year.

b.            Determine the probability that fewer than

3,000

acres will be burned in any year.

c.             What is the probability that between

1,500

and

3,300

acres will be burned?

d.            In those years when more than

4,500

acres are burned, help is needed from eastern-region fire teams. Determine the probability help will be needed in any year.

a. The probability that more than

4,000

acres will be burned is

b. The probability that fewer than

3,000

acres will be burned is

c. The probability that between

1,500

and

3,300

acres will be burned is

d. The probability help will be needed is

6.

The useful life of an electrical component is exponentially distributed with a mean of

1,000

hours.

a. What is the probability the circuit will last more than

1,750

hours?

b. What is the probability the circuit will last between

1,000

and

1,250

hours?

c. What is the probability the circuit will fail within the first

750

hours?

a. P(useful life more than

1,750

b. P(useful life between

1,000

and

1,250

c. P(useful life less than or equal to

750

7.

A delicatessen is open 24 hours a day every day of the week. On the average,

15

orders are received by fax every two hours throughout the day.

a. Find the probability that a faxed order will arrive within the next

6

minutes.

b. Find the probability that the time between two faxed orders will be between

3

and

4

minutes.

c. Find the probability that

13

or more minutes will elapse between faxed orders.

a. The probability that a faxed order will arrive within the next

6

minutes is

b. The probability that the time between two faxed orders will be between

3

and

4

minutes is

c. The probability that

13

or more minutes will elapse between faxed orders is