The element titanium has five stable occurring isotopes,

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Problem 6E Chapter 2.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 6E

The element titanium has five stable occurring isotopes, differing from each other in the number of neutrons an atom contains. If Xis the number of neutrons in a randomly chosen titanium atom, the probability mass function of X is given as follows:

a. Find μX.

b. Find σX.

Step-by-Step Solution:
Step 1 of 3

Solution 6E

Step1 of 3:

We have the element titanium has five stable occurring isotopes, differing from each other in number of neutrons an atom contains.

Let X is the number of neutrons in a randomly chosen titanium atom, the probability mass function is given as follows:

x

24

25

26

27

28

P(x)

0.0825

0.0744

0.7372

0.0541

0.0518

We need to find,

a).Find

b).Find

Step2 of 3:

a).

Mean is given by

              =

 

              = (1.8) + (1.86) + (19.1672) + (1.4607) + (1.3986)

              = 25.6865

Therefore,  25.6865.

Step3 of 3:

b).

Variance of X is given by

 ...

Step 2 of 3

Chapter 2.4, Problem 6E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4th
Author: William Navidi
ISBN: 9780073401331

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