The following table shows the typical depth (rounded to

Chapter 3, Problem 35E

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QUESTION:

Problem 35E

The following table shows the typical depth (rounded to the nearest foot) for nonfailed wells in geological formations in Baltimore County (The Journal of Data Science, 2009, Vol. 7, pp. 111–127).

Geological Formation Group

Number of Nonfailed Wells

Nonfailed Well Depth

Gneiss

1,515

255

Granite

26

218

Loch Raven Schist

3,290

317

Mafic

349

231

Marble

280

267

Prettyboy Schist

1,343

255

Other schists

887

267

Serpentine

36

217

Total

7,726

2,027

Calculate the probability mass function of depth for nonfailed

wells from the table.

Questions & Answers

QUESTION:

Problem 35E

The following table shows the typical depth (rounded to the nearest foot) for nonfailed wells in geological formations in Baltimore County (The Journal of Data Science, 2009, Vol. 7, pp. 111–127).

Geological Formation Group

Number of Nonfailed Wells

Nonfailed Well Depth

Gneiss

1,515

255

Granite

26

218

Loch Raven Schist

3,290

317

Mafic

349

231

Marble

280

267

Prettyboy Schist

1,343

255

Other schists

887

267

Serpentine

36

217

Total

7,726

2,027

Calculate the probability mass function of depth for nonfailed

wells from the table.

ANSWER:

Solution:

Step 1 of 2:

Let X = the non-failed well depth

We have the typical depth for non-failed wells in geological formations in Baltimore County.

Geological Formation Group

Number of Non-failed Wells

Non-failed Well Depth

Gneiss

1,515

255

Granite

26

218

Loch Raven Schist

3,290

317

Mafic

349

231

Marble

280

267

Prettyboy Schist

1,343

255

Other schists

887

267

Serpentine

36

217

Total

7,726

2,027


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