Step 1:

(a)

The deal and No deal television game has individual suitcase containing amount

1 cent, $ 1, $5, $10, $25, $50, $75, $100, $200, $300, $400, $500, 750, $1000, $5000, $10,000 $25,000 $50,000 $75,000 $100,000 $200,000 $300,000 $400,000 $500,000 $750,000 and $1,000,000.

Number of suitcase is 26.

Expected value:

The expected value of a discrete random variable is denoted by E, and it represents the mean value of the outcomes.

It is obtained by finding the value of , where is the probability of each outcome.

Probability of each outcome is .

Expected value:

Expected value of the strategy is 131477.53.

Solution:

Expected value of the strategy is 131477.53.

Step 1:

(b)

Find the standard deviation.

First find

Standard deviation :

Standard deviation is 253584.47.

Solution:

Standard deviation is 253584.47.

Step 1:

(c)

Range Rule of Thumb:

Maximum usual value =  .

Maximum usual value is 638646.4743

Minimum usual value = .

Minimum usual value is truncated to 0.

Minimum usual value is 0.

The range of values for usual number of suitcase containing amount lies between 0 to 638646.4743.

Solution:

The range of values for usual number of suitcase containing amount lies between 0 to 638646.4743.

Step 1:

(d)

The values considered under the range are usual else they are unusual.

The range of values for usual number of suitcase containing amount lies between 0 to 638646.4743.

The result $750,000 and $1,000,000 are out of the range.

So they are considered as unusual.

$750,000 and $1,000,000 are unusual.

Solution:

$750,000 and $1,000,000 are unusual.