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Probability Test #2 REVIEW

Total questions: 33

Worksheet time: 47mins

Name
Class
Date
1.

For each of the following determine if the random variable discrete or continuous.


Number of books in your locker

a)

Discrete

b)

Continuous

2.

For each of the following determine if the random variable discrete or continuous.


Number of miles on your car

a)

Discrete

b)

Continuous

3.

For each of the following determine if the random variable discrete or continuous.


Amount of money in your checking account

a)

Discrete

b)

Continuous

4.

For each of the following determine if the random variable discrete or continuous.


Number of credits you have

a)

Discrete

b)

Continuous

5.

What are the conditions for a variable to be binomial?

a)

2 outcomes

b)

Set number of Trials

c)

Independent events

d)

Set probability of success

e)

All of these

6.

What are the conditions for a variable to be geometric?

a)

2 outcomes

b)

Stop at first success

c)

Independent events

d)

Set probability of success

e)

All of these

7.

How do you distinguish between a geometric problem and a binomial problem?

a)

Only geometric has success and failure

b)

If events are independent

c)

By when you stop

d)

By looking for the word "exactly"

8.

What does 8! mean?

a)

8*7*6*5*4*3*2*1*0

b)

EIGHT!

c)

8+7+6+5+4+3+2+1

d)

8*7*6*5*4*3*2*1

9.

What counting method do you use when you are choosing from different groups?

a)

Multiplication Counting Principle

b)

Permutations

c)

Combinations

d)

Your fingers

10.

What counting method do you use when order matters and repeats are ok?

a)

Multiplication Counting Principle

b)

Permutations

c)

Combinations

d)

Your fingers

11.

What counting method do you use when order matters and repeats are NOT ok?

a)

Multiplication Counting Principle

b)

Permutations

c)

Combinations

d)

Your fingers

12.

What counting method do you use when order doesn’t matter and repeats are NOT ok?

a)

Multiplication Counting Principle

b)

Permutations

c)

Combinations

d)

Your fingers

13.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

14.

A team of 17 volleyball players needs to choose three players to refill the water cooler. How many different ways can the players be chosen?

a)

3360

b)

560

c)

4080

d)

680

15.

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?

a)

11,424,400

b)

10,967,424

c)

9000

d)

90,000

16.
In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?
a)
40320
b)
1
c)
64
d)
8
17.
Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?
a)
12,650
b)
303,600
c)
100
d)
254
18.
12C3
a)
36
b)
66
c)
220
d)
500
19.
52P3
a)
52
b)
2652
c)
132600
d)
6497400
20.

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

What is the probability that all 4 on the committee are men?

a)

1820

b)

0.115

c)

210

d)

0.400

21.

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

What is the probability that the committee is made up of 3 women and 1 man?

a)

0.110

b)

0.011

c)

0.008

d)

0.115

22.

Determine which distribution applies to the scenario.

Roll a die 20 times and let X be the number of times a 4 was rolled.

a)

Binomial

b)

Geometric

c)

Neither

23.

Determine which distribution applies to the scenario.

Flip a coin and let X be the number of flips to get a head.

a)

Binomial

b)

Geometric

c)

Neither

24.

Determine which distribution applies to the scenario.

Flip cards in a pile until you get a heart.

a)

Binomial

b)

Geometric

c)

Neither

25.

Assume that 13% of people are left-handed. Find the probability that...

The first lefty is the 7th person chosen.

a)

0.944

b)

0.623

c)

0.377

d)

0.056

26.

Assume that 13% of people are left-handed. Find the probability that...

The first lefty is one of the first 7 people chosen.

a)

0.944

b)

0.623

c)

0.377

d)

0.056

27.

Assume that 13% of people are left-handed. Find the probability that...

There are at least 3 lefties among a group of 8 people

a)

0.074

b)

0.987

c)

0.926

d)

0.061

28.

Assume that 13% of people are left-handed. Find the probability that...

There are no more than 3 lefties among a group of 5 people.

a)

0.061

b)

0.013

c)

0.9987

d)

0.926

29.

Assume that 13% of people are left-handed. Find the probability that...

If you kept selecting people until you get a lefty, how many people would expect to sample?

a)

13

b)

0.08

c)

0.65

d)

7.7

30.

Assume that 13% of people are left-handed. Find the probability that...

If you kept selecting people until you get a lefty, what is the standard deviation of the distribution?

a)

6.7

b)

7.2

c)

10

d)

7.7

31.

Assume that 13% of people are left-handed. Find the probability that...

How many lefties do you expect to find in the group of 5?

a)

13

b)

0.75

c)

0.65

d)

7.7

32.

Assume that 13% of people are left-handed. Find the probability that...

If you're counting lefties in a group of 5, what is the standard deviation of the distribution?

a)

13

b)

0.75

c)

0.65

d)

7.7

33.

Assume that 13% of people are left-handed. Find the probability that...

Choose the formula needed to determine the probability of it taking 5 people to find the first lefty.

a)

(0.87)5(0.13)

b)

(0.87)4(0.13)

c)

5C4 (0.87)4 (0.13)

d)

5C2 (0.87)3 (0.13)2