Free Printable Probability distributions

1.

Is this a probability distribution?

a)

No, the sum of p(x) does not equal 1.

b)

Yes, all p(x) are between 0 and 1.

c)

No, all p(x) are not between 0 and 1.

d)

Yes, the sum p(x) is 1.

2.

Classify: How many miles it takes to use up a tank of gas.

a)

Discrete

b)

Continuous

3.

Which one of the following is a discrete random variable?

a)

Sam's height

b)

Sam weight

c)

Time Sam's runs the 110 m hurdles

d)

Amount of Sam's brothers and sisters

4.

a)

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

b)

No, all probabilities are not be between 0 and 1 inclusive

c)

No, the sum of all the probabilities is not 1.

d)

Yes, because the distribution is symmetric

5.

a)

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

b)

No, all probabilities are not be between 0 and 1 inclusive

c)

No, the sum of all the probabilities is not 1.

d)

Yes, because the distribution is symmetric

6.

a)

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

b)

No, all probabilities are not be between 0 and 1 inclusive

c)

No, the sum of all the probabilities is not 1.

d)

Yes, because the distribution is symmetric

7.

a)

0

b)

0.1

c)

0.5

d)

0.05

8.

a)

Discrete

b)

Continuous

9.

Is this a valid probability distribution?

a)

Yes

b)

No

c)

Impossible to answer

10.

Is this a valid probability distribution?

a)

Yes

b)

No

c)

Impossible to answer

11.

In a probability distribution, the probabilities must be only

a)

any positive real value

b)

any nonnegative real value

c)

integers between 0 and 1 inclusive

d)

real values between 0 and 1 inclusive

12.

Given the probability distribution, what is the value of k?

a)

0.15

b)

0.25

c)

0.30

d)

0.35

13.

Which is the correct formula to find the variance of X?

a)

$Var\left(X\right)=E\left(X\right)^2-E\left(X\right)$

b)

$Var\left(X\right)=E\left(X^2\right)-E\left(X\right)$

c)

$Var\left(X\right)=E\left(X^2\right)-\left[E\left(X\right)\right]^2$

d)

$Var\left(X\right)=\left[E\left(X\right)\right]^2-E\left(X^2\right)$

14.

When three coins are tossed simultaneously and the number of tails obtained are recorded. If X denotes the number of tails obtained, then

a)

$X=\left\{1,2,3\right\}$

b)

$X=\left\{0,1,2,3\right\}$

c)

$X=\left\{H,T\right\}$

d)

$X=\left\{i:\ H^{3-i}T^i\right\}$

15.

What is the probability that a randomly selected rental units has between 3 and 6 rooms?

a)

0.114

b)

0.589

c)

0.909

d)

Cannot be determined

Probability distributions

Total questions: 15

Worksheet time: 15mins

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