Chapter 13.4, Problem 18PPS

(a)

To determine

To find the assumed probability based on the frequency table.

Answer to Problem 18PPS

  $\frac{13}{30}\text{ or }43.3\%$

Explanation of Solution

Given:

The given table is-

Calculation:

The assumed probability that she would score two points in a possession is $\frac{13}{30}\text{ or }43.3\%$

(b)

To determine

To find out Cynthia’s average value for possession and also her expected value.

Answer to Problem 18PPS

The average value is $47$ and the expected value is $45.3$ .

Explanation of Solution

Given:

The probability that Susana will get $100$ points in a roll is $20\%$ , $200$ points in a roll is $55\%$ , $300$ points in a roll is $20\%$ and $400$ points in a roll is $5\%$

Calculation:

The following is the required table-

Outcome	Frequency
Red	5
Blue	16
White	29
Total	50

The average value is $47$

And the expected value is $45.3$

(c)

To determine

To explain whether the simulated data would be different or not.

Answer to Problem 18PPS

The average value is $47$ and the expected value is $45.3$ .

Explanation of Solution

Given:

The probability that Susana will get $100$ points in a roll is $20\%$ , $200$ points in a roll is $55\%$ , $300$ points in a roll is $20\%$ and $400$ points in a roll is $5\%$

Calculation:

The following is the required table-

Outcome	Frequency
Red	5
Blue	16
White	29
Total	50

The average value is $47$

And the expected value is $45.3$