Introduction to Probability and Statistics for Engineers and Scientists

6.3The Central Limit Theorem 207

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.

0 5 10 15

i

0.15

0.10

0.05

0.00

p(i)

Central Limit Theorem

Start

Quit

.25

.15

.1

.2

.3

P0

P1

P2

P3

P4

n = 3

(b)

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.

051015

i

0.15

0.10

0.05

0.00

p(i)

Central Limit Theorem

Start

Quit

.25

.15

.1

.2

.3

P0

P1

P2

P3

P4

n = 5

(c)

Mean = 10.75

Variance = 12.6375

20

FIGURE 6.2 (continued)