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Discrete Distribution

Total questions: 20

Worksheet time: 1hrs 2mins

Name
Class
Date
1.

Determine which of the following distribution is NOT a probability distribution.

a)

A

b)

B

c)

C

d)

D

2.

What is the value of s?

a)

1.00

b)

0.30

c)

0.21

d)

0.09

3.

Which of the following is NOT the properties of Binomial experiment?

a)

Only two outcomes, either success or failure for each trial.

b)

The same probability of a success for each trial.

c)

Has symmetric shaped of data distribution.

d)

Fixed number of trial.

4.

If X~B(9,0.2), find P(X=5).

a)

0.0016

b)

0.0165

c)

0.1065

d)

0.5016

5.

Based on statement 1 evaluate the probability exactly 10 FBMP students use the campus library in one semester.

a)

0.2061

b)

0.2186

c)

0.3000

d)

0.7000

6.

What is the expected number of FBMP students NOT use the campus library in one semester?

a)

5.05

b)

4.50

c)

10.00

d)

10.5

7.

Given that X~Po(4). Determine P(X=5).

a)

0.0156

b)

0.1065

c)

0.1563

d)

0.1629

8.

Which type of probability distribution does Statement 2 satisfied?

a)

Poisson

b)

Normal

c)

Binomial

d)

Continuous

9.

For any given hour, find the probability that a personal Go Shoppers will receive exactly 2 calls?

a)

1.000

b)

0.224

c)

0.024

d)

0.001

10.

The sum of the product of each value of a discrete random variable X times its probability is referred to as its

a)

expected value

b)

variance

c)

standard deviation

d)

mode

11.

Mode of random variable is

a)

Highest probability

b)

the value in the set that occurs most often

c)

a value of x for which f(x) takes a maximum value

12.

Find the value of c.

a)

0.48

b)

0.40

c)

0.68

d)

0.84

13.

Find P(X ≤3).

a)

0.39

b)

0.50

c)

0.93

d)

0.48

14.

The probability Alia wins a chess game is 0.4. Given that she plays only 5 games a week, find the probability that in any week she wins at least 2 games.

a)

0.6630

b)

0.9222

c)

0.3370

d)

0.3456

15.

A new surgical procedure is successful 85% of the time. the procedure is performed 8 times and it can be assumed that it is independent each time. Find the expected value of the successful operations.

a)

1.02

b)

6.8

c)

0.1275

d)

1.2

16.

If X~Po(λ) and P(X=0) = 0.0025, find λ.

a)

2

b)

4

c)

6

d)

8

17.

If X~Po(1.8), find P(2≤X≤4)

a)

0.4285

b)

0.5008

c)

0.8005

d)

0.4580

18.

Which of the following is the properties of Poisson situation?

a)

The mean of occurrences is proportional to the length of interval.

b)

Number of occurrences is continuous random variable.

c)

The occurrences are dependent of each other.

d)

Bell-shaped distribution.

19.

Find P( 1 ≤ X < 4).

a)

1.00

b)

0.91

c)

0.02

d)

0.07

20.

What is P( X > 2).

a)

0.02

b)

0.2

c)

0.01

d)

0.1