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Essay on Statistics Questions

Decent Essays

QUESTION 21
The finishing process on new furniture leaves slight blemishes. The table below displays a manager's probability assessment of the number of blemishes on one piece of new furniture.
Number of Blemishes
0
1
2
3
4
5
Probability
0.34
0.25
0.19
0.11
0.07
0.04

1. On average, how many blemishes do we expect on one piece of new furniture?
2. What is the variance of blemishes on one piece of new furniture? (round to the nearest hundredth)

QUESTION 22
The probability that a person catches a cold during the cold-and-flu season is 0.4. Assume that 10 people are chosen at random.
On average, how many of these ten people would you expect to catch a cold?
What is the standard deviation of the number of …show more content…

Over the course of a month, a household receives 100 pieces of unsolicited mail.
What is the mean of the sample proportion of pieces of unread mail? (express as a decimal, not a percentage)

What is the standard error of the sample proportion?

What is the probability that the sample proportion is greater than 0.60? (express as a decimal, not a percentage)
ANSWERS
QUESTION 21 1. On average, how many blemishes do we expect on one piece of new furniture?

2. What is the variance of blemishes on one piece of new furniture? (round to the nearest hundredth)

QUESTION 22 p = 0.4 q = 1-p = 1-0.4 = 0.6 n = 10
1) Mean = np = 10*0.4 = 4

2) Standard deviation = sqrt [npq]
= sqrt [10*0.6*0.4]
= 1.5492

QUESTION 23
The number of nails in a five-pound box is normally distributed with a mean of 566 and a standard deviation of 33.
What is the probability that there are less than 500 nails in a randomly-selected five-pound box of nails? (express as a decimal, not a percentage)

P ( X < 500) = P( z < (500-566)/33) = P ( z z1 ) = .99
Z1 will be 2.326
So

QUESTION 24

QUESTION 25
Candidates for employment at a city fire department are required to

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