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10. [3 points] Investigators believe that the yield of a particular chemical rea

ID: 3374622 • Letter: 1

Question

10. [3 points] Investigators believe that the yield of a particular chemical reaction depends on both temperature and speed of the mixer. They decide to compare three temperatures (100°F, 150°F, and 200 F) and two mixing speeds (1,200rpm and 1,800 rpm) within their experiment of reaction yield. What is the sample space for their experimental conditions? 11. [2 points] Engineers are interested in comparing the mean hydrogen production rates per day for three different heliostat sizes. From the past week's records, the engineers obtained the amount of hydrogen produced per day for each of three heliostat sizes. What type of study is being conducted? -0 12. 19 points) Used photocopy machines are retuned to the supplier, cleaned, and reused for lease agreements. No major repairs are made, resulting in some customers receiving faulty leased machines. Eight used photocopiers are available for leasing but three are faulty. If a customer leases four photocopiers, find the probability that A. None of the machines are faulty B. At least one machine is faulty C. No more than two machines are faulty

Explanation / Answer

Result:

10).

Sample space:

(100F, 1200rpm), (100F, 1800rpm)

(150F, 1200rpm), (150F, 1800rpm)

(200F, 1200rpm), (200F, 1800rpm)

11).

He obtained data from past weeks records. This is a retrospective study.

12).

Hyper geometric distribution used

N=8

N1=3

n=4

A).

P( x=0) = 0.0714

B). P( x?1) = 0.9286

c).

P(x ?2) = 0.9286

Hypergeometric Probabilities

Data

Sample size

4

No. of events of interest in population

3

Population size

8

Hypergeometric Probabilities Table

X

P(X)

0

0.0714

1

0.4286

2

0.4286

3

0.0714

4

0.0000

Hypergeometric Probabilities

Data

Sample size

4

No. of events of interest in population

3

Population size

8

Hypergeometric Probabilities Table

X

P(X)

0

0.0714

1

0.4286

2

0.4286

3

0.0714

4

0.0000

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