Search Header Logo

TEST ON RANDOM VARIABLES

Authored by RAMACHANDRAN VADAKKEMADAM

Mathematics

11th - 12th Grade

CCSS covered

TEST ON RANDOM VARIABLES
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1, if the number of spots showing is 6 you win $4 and if the number of spots showing is 1, 2 or 3, you win nothing. Let X be the amount you win.  What is the expected value of X?

$
$1
$2.50
$4

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day. Based on the records, X has the following probability distribution. What is the average number of customers that the owner can expect to make a purchase in the first hour of opening?

0.2

1.4

2.0

3.0

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Cool TV game show
Players win prizes with probabilities shown:
P($0) = .70
P($500) = .25
P($5,000) = .05
What are the mean and the standard deviation of the prize variable?

Mu = $375; sigma = $361
Mu = $375; sigma = $1,083
Mu = $1,833; sigma = $1,816
Inadequate info is provided.

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

You pick a card from a deck.  If you get a face card, you win $5.  If you get an ace, you win $30 plus an extra $60 for the ace of hearts.  For any other card you win nothing. Find the expected value you will win.

$5.00
$3.85
$4.04
$4.62

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Choose an American household at random. What is the expected number of cars for that household?

1.75
1.84
2.00
2.50

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Is the distribution below a probability distribution? Why or why not?

Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1
No, not all P(x) values are between 0 and 1.
No, ∑P(x) ≠ 1.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

CCSS.HSS.MD.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

.03125
.15625
.3125
.1875

Tags

CCSS.HSF-LE.A.1C

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?