# The element titanium has five stable occurring isotopes, ## Problem 6E Chapter 2.4

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

Step 3 of 3

##### ISBN: 9780073401331

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