SKILLS

15-16 Probability Distribution An experiment is described. (a) Complete the table of the probability distribution. (b) Draw a probability histogram.

A jar contains five balls numbered 1 , three balls numbered 2 , one ball numbered 3 , and one ball numbered 4 . A ball is drawn at random and the number of the ball is observed

Outcome	Probability
1	0.5
2
3
4
5

(a)

To complete:

The table of probability distribution.

Approach:

The probability of getting exactly r successes in n independent trials of the experiment is,

P(r successes in n trials)=C(n,r)pr(1−p)n−r=n!r!(n−r)!pr(1−p)n−r ...... (1)

The probability of failure is given as:

P(failure)=1−p ……(2)

Calculation:

The ball is numbered from 1−5.

The number of balls that are numbered as 1 are 5.

The number of balls that are numbered as 2 are 3.

The number of balls that are numbered as 3 are 1.

The number of balls that are numbered as 4 are 1.

The number of balls that are numbered as 5 are 0

So, the total number of balls in the jar are 10.

Calculate the probability of drawing ball numbered as 2 from the jar.

P(2)=310=0.3

Here, P(2) is the probability of drawing ball numbered as 2 from the jar

(b)

To draw:

The probability histogram.