Hi,

would you please help me how to solve the problem please?

thank you.

1. Using historical report, a personnel manager of a plant has determined the probability of X, the number of employees absent per day. it is

X 0 1 2 3 4 5 6 7

P(X) 0.005 0.0241 0.3092 0.339 0.2192 0.0794 0.0185 0.0056

Find the following probabilities.

A.P(2<=X<=5)

Probability =

B.P(X>5)

Probability =

C.P(X<4)

Probability =

2.In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 10% of voters are Independent. A survey asked 38 people to identify themselves as Democrat, Republican, or Independent.

A. What is the probability that none of the people are Independent?

Probability =

B. What is the probability that fewer than 7 are Independent?

Probability =

C. What is the probability that more than 2 people are Independent?

Probability =

3.Flaws in a carpet tend to occur randomly and independently at a rate of one every 170 square feet.

What is the probability that a carpet that is 6 feet by 11 feet contains no flaws?

Probability =

4.Use a Standard Normal Table to find the z-score that satisfies each of the following statements.

(a) The point z with 9.01 percent of the observations falling below it.

Z =

(b) The closest point z with 14.72 percent of the observations falling above it.

Z=

5.(a) Find the area under the standard normal curve between -0.52 and 0.44.

answer:

(b) Find the area under the standard normal curve between -2.28 and 0.94.

answer:

(c) Find the area under the standard normal curve that lies to the left of 0.84.

answer:

(d) Find the area under the standard normal curve that lies to the left of -1.74.

answer:

(e) Find the area under the standard normal curve that lies to the right of -1.34.

answer:

(f) Find the area under the standard normal curve that lies to the right of 0.16.

answer: