Decision Theory

Decision Theory

II.

a.

z

=

190

-

182

20

z

=

8

20

z

=

0.4

The probability for z = 0.4 is 0.6554, in this view, there is 65.54% probability of scoring below z = 0.4 or endurance test = 190.

b.

z

=

182

-

182

20

z

=

0

20

z

=

0

The probability for z = 0 is 0.5, therefore, it can be said that there is 50% probability of scoring below z = 0.5 or endurance test = 182.

c.

z

=

190

-

182

20

z

=

8

20

z

=

0.4

The probability for z = 0.4 is 0.6554.

P (endurance test > 190) = 1 - 0.6554 = 0.3446

Thus, there is 34.46% probability of scoring above z = 0.4 or endurance test = 190.

III.

As there is probability of a breaking down during the day ...