Introduction to Probability and Statistics for Engineers and Scientists

208 Chapter 6: Distributions of Sampling Statistics

Enter the probabilities and number of random

variables to be summed. The output gives the massfunction of the sum along with its mean and

variance.

0102030

i

0.08

0.06

0.04

0.02

0.00

p(i)

Central Limit Theorem

Start

Quit

.25

.15

.1

.2

.3

P0

P1

P2

P3

P4

n = 10

(d)

Mean = 21.5

Variance = 25.275

40

Enter the probabilities and number of random

variables to be summed. The output gives the mass

function of the sum along with its mean and

variance.

020

i

0.05

0.04

0.03

0.02

0.01

0.00

p(i)

Central Limit Theorem

Start

Quit

.25

.15

.1

.2

.3

P0

P1

P2

P3

P4

n = 25

(e)

Mean = 53.75

Variance = 63.1875

40 60 80 100

FIGURE 6.2 (continued)