Free Printable 11-5 Test - Unit 4 Discrete Probability Distributions

1.

Determine whether this statement represents a discrete or a continuous random variable.

The cost of a notebook.

a)

Discrete

b)

Continuous

2.

Determine whether this statement represents a discrete or a continuous random variable.

The weight of a football.

a)

Discrete

b)

Continuous

3.

Determine the probability distribution's missing value.

P(x) = 0.2, 0.34, 0.12, 0.26, ?

a)

1

b)

0.800

c)

0.080

d)

0.085

4.

At a raffle, 5000 tickets are sold at $4 each. One ticket will be randomly selected and the winner will receive an iphone valued at $ 760. What is the expected value for a person that buys one ticket?

a)

-$3.58

b)

-$3.85

c)

-$3.68

d)

-$3. 86

5.

At a raffle, 1200 tickets are sold at $10 each for three prizes valued at $1800, $1500, and $1200. What is the expected value of one ticket?

a)

-$6.35

b)

-$6.55

c)

-$6.25

d)

-$6.65

6.

A recent survey found out that 75% of teenagers wear glasses. In a random sample of 15 teenagers, what is the probability that exactly 10 of them wear glasses? (Binomial)

a)

0.1651

b)

0.3135

c)

0.0486

d)

0.0645

7.

Based on statistics test result, 81% of students pass the test. Find the probability that 22 of 30 students pass the test. (Binomial)

a)

0.0651

b)

0.0964

c)

0.0486

d)

0.0336

8.

A recent survey found out that 76% of all teenagers over 13 play video games. In a random sample of 120 teenagers over 13, what is the mean and standard deviation of those who play games?

a)

$\mu=91.40,\ \ \ \sigma=4.86$

b)

$\mu=91.20,\ \ \ \sigma\ =\ 4.68$

c)

$\mu=91.20,\ \ \ \sigma\ =\ 21.89$

d)

$\mu=-9.20,\ \ \ \sigma=\ 21.89$

9.

The probability that a tennis set will go to a tiebreaker is 23%. In 156 randomly selected tennis sets, what is the mean and standard deviation of the number of tiebreakers? $Hint:\ \mu=np,\ \ \sigma\ =\ \sqrt{npq}$

a)

$\mu=35.88,\ \ \ \sigma=\ 5.26$

b)

$\mu=\ 35.88,\ \ \sigma\ =\ 27.63$

c)

$\mu=27.63,\ \sigma\ =\ 5.26$

d)

$\mu=27.63,\ \ \sigma=\ 35.88$

10.

A amateur baseball player makes a bat at 78% of the time. Find the probability that he misses his first 2 bats and makes it on the 3th bat. Round your answer to four decimal places. (Geometric)

a)

0.0389

b)

0.0378

c)

0.0342

d)

0.0345

11.

A company ships cellphones in boxes that contains 50. Assume that the probability of a defective cellphones is 0.25. Find the probability that the first defective is in the fifth box. Round your answer to four decimal places. (Geometric)

a)

0.0791

b)

0.0654

c)

0.0745

d)

0.0691

12.

A car salesperson gets an average of 4 customers each day. For any given day, using Poisson Distribution, find the probability that the salesperson will get exactly 6 customers.

a)

0.0675

b)

0.0321

c)

0.1042

d)

0.0452

13.

A car towing service company averages two calls per hour. Use the Poisson distribution to determine the probability that in a randomly selected hour the number of calls is 6.

a)

0.0120

b)

0.0230

c)

0.0450

d)

0.0230

14.

The random variable x represents the numbers of cellphones per household in a town of 2500 households. Find the probability of randomly selecting a household that has between 1 and 3 cellphones.

a)

0.6432

b)

0.5636

c)

0.6536

d)

0.5432

15.

The probability that an individual is right-handed is 92%. In a class of 31 students, what is the probability of finding 27 right-handed? (Binomial)

a)

0.1557

b)

0.1357

c)

0.1457

d)

0.1657

11-5 Test - Unit 4 Discrete Probability Distributions

Total questions: 15

Worksheet time: 4hrs 45mins

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