Paper Topic:

statistics

Probability Distribution

1Discrete or Continuous

a . Discrete

b . Continuous

c . Discrete

d . Continuous

e . Continuous

2 . The distribution is not a probability distribution . The distribution does not satisfy property of probability distribution that the sum of all probabilities must equal 1 ?p (x 1

0 .038 0 .2 0 .445 0 .294 1

0 .977 ? 1

3

a

x

(x ) x

(x

Round to 2 decimal x -

Round to 2 decimals (x - )2

Round to 4 decimals

(x

(x - )2

Round to 4 decimals

3 0 .14 0 .42 -6 .48 41 .9904 5 .8787

6 0 .08 0 .48 -3 .48 12 .1104 0 .9688

9 0 .36 3 .24 -0 .48 0 .2304 0 .0829

12 0 .32 3 .84 2 .52 6 .3504 2 .0321

15 0 .1 1 .5 5 .52 30 .4704 3 .0470 ? x

(x 9 .48 ?

(x (x - )2 12 .01

b . Mean ? x

(x 9 .48

c . Variance ?2 ?

(x (x - )2 12 .01

d . Standard deviation ?

(x (x - )2 (12 .01 3 .47

Binomial Distribution

4 . a .

(X 2 (10C2 (0 .2 )2 (0 .8 (10 - 2 45 (0 .04 (0 .17 0 .302

b .

(X ? 2 (10C2 (0 .2 )2 (0 .8 (10 - 2 (10C1 (0 .2 )1 (0 .8 (10 - 1 (10C0 (0 .2 )0 (0 .8 (10 - 0 45 (0 .04 (0 .17 10 (0 .2 (0 .1342 1 (1 (0 .107...

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