Free Printable Stat and Prob Review Quiz No.1

1.

Which of the following is the formula in finding the standard deviation of a discrete probability distribution?

a)

$\sigma = \sqrt{\sum (x - \mu)^2 P(x)}$

b)

$\sigma = \sqrt{\frac{\sum (x - \mu)^2}{n}}$

c)

$\sigma = \sqrt{\sum x^2 P(x) + \mu^2}$

d)

$\sigma = \sum (x - \mu)^2 P(x)$

2.

Which of the following is the formula in finding the standard deviation of a discrete probability distribution?

a)

$\sigma=\sqrt{\sum (x-\mu)^2\,p(x)}$

b)

$\sigma=\sqrt{\sum (x-\mu)^2\,/\,n}$

c)

$\sigma=\sqrt{\int (x-\mu)^2 f(x)\,dx}$

d)

$\sigma=\sum (x-\mu)^2\,p(x)$

3.

Which of the following is the formula for calculating the z-score?

a)

$z = \frac{x - \mu}{\sigma}$

b)

$z = \frac{x - \sigma}{\mu}$

c)

$z = \frac{x - \mu}{\sigma^2}$

d)

$z = \frac{\mu - x}{\sigma^2}$

4.

Which of the following is the formula for calculating the z-score?

a)

$z = \frac{x - \mu}{\sigma}$

b)

$z = \frac{\mu - x}{\sigma}$

c)

$z = \frac{x - \mu}{s}$

d)

$z = \frac{x}{\mu \sigma}$

5.

Which of the following is a probability distribution?

a)

$P(1)=0.08$ , $P(2)=0.12$ , $P(3)=1.03$

b)

$P(1)=10/33$ , $P(2)=1/3$ , $P(3)=12/33$

c)

$P(1)=0.42$ , $P(2)=0.31$ , $P(3)=0.37$

d)

$P(1)=9/14$ , $P(2)=2/14$ , $P(3)=2/14$

6.

Which of the following is the formula in finding the mean of a discrete probability distribution?

a)

$\mu = \sum x_i p_i$

b)

$\mu = \sum \frac{x_i}{n}$

c)

$\mu = \sum p_i$

d)

$\mu = \sum x_i p_i^2$

7.

The following are the properties of normal distribution except one. Select all statements that are properties of a normal distribution.

a)

The mean, median and mode are equal and located at the center of the distribution.

b)

The total area under the curve is equal to $1$ or 100%.

c)

The curve is symmetrical about the mean.

8.

Which of the following statements are properties of a normal distribution? Select all that apply.

a)

The mean, median and mode are equal and located at the center of the distribution.

b)

The total area under the curve is equal to $1$ or $100\%$ .

c)

The curve is symmetrical about the mean.

9.

WHAT IS THE SHAPE OF A NORMAL DISTRIBUTION?

a)

Circle

b)

Bell

c)

Parabolic

d)

Parallelogram

10.

Let X be the random variable denoting the number of wins of a volleyball team will play for three consecutive games. What is the sample space of the above statistical experiment?

a)

S = {WLL, LWL, WWW}

b)

S = {WWW, WWL, WLL, LLL}

c)

S = {WWW, LLW, LWL, WLW, WLL, LLL}

d)

S = {WWW, WWL, WLW, WLL, LWW, LLW, LWL, LLL}

11.

Let X be the random variable denoting the number of wins of a volleyball team will play for three consecutive games. Which of the following is the probability mass function of discrete random variable X?

a)

No. of wins (X): 0, 1, 2, 3; Probability: 1/5, 1/5, 2/5, 1/5

b)

No. of wins (X): 0, 1, 2, 3; Probability: 1/6, 1/2, 1/6, 1/6

c)

No. of wins (X): 0, 1, 2, 3; Probability: 1/8, 3/8, 3/8, 1/8

d)

No. of wins (X): 0, 1, 2; Probability: 1/3, 1/3, 1/3

12.

LET X BE THE RANDOM VARIABLE DENOTING THE NUMBER OF WINS OF A VOLLEYBALL TEAM WILL PLAY FOR THREE CONSECUTIVE GAMES. What is the probability that the team will win in all games?

a)

1/8

b)

1/6

c)

1/5

d)

1/2

13.

Let Y be the random variable denoting the number of goals scored by a soccer team in four consecutive matches. What is the probability that the team will score in all matches?

a)

1/2

b)

1/8

c)

1/4

d)

1/16

14.

Which of the following is the formula for calculating the variance of a discrete probability distribution?

a)

$\sigma^2 = \sum (x - \mu)^2 P(x)$

b)

$\sigma^2 = \sum (x - \mu)^2 / n$

c)

$\sigma^2 = \sum x^2 P(x) - \mu^2$

d)

$\sigma^2 = \sum (x - \mu) P(x)$

15.

What is the variance of a random variable X if its standard deviation is 3?

a)

6

b)

3

c)

12

d)

9

Stat and Prob Review Quiz No.1

Total questions: 15

Worksheet time: 8mins

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