Combining Random Variables and Expected Value

Combining Random Variables and Expected Value

10th - 12th Grade

14 Qs

quiz-placeholder

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Combining Random Variables and Expected Value

Combining Random Variables and Expected Value

Assessment

Quiz

Mathematics

10th - 12th Grade

Hard

Created by

Lisa Lee

FREE Resource

14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The mean amount of time to mix the batter for a cake is 14 minutes with a standard deviation of 2.5 minutes. The mean amount of time to bake the cake is 35 minutes with a standard deviation of 6.2 minutes. What is the mean time to make and bake a cake? What is the standard deviation?

mean = 49 min sd = 8.7 min

mean = 49 min sd = 6.685 min

mean = 21 min sd = 8.7 min

mean = 21 min sd = 6.685 min

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The mean hourly salary for a high school graduate is $13.50 per hour with a standard deviation of $5.75. The mean hourly salary for a person with an Associate's degree is $19.75 with a standard deviation of $9.25. What is expected difference in the hourly salaries between a high school graduate and a person who earned an Associate's degree?

$33.25

$-3.50

$-6.25

$15.00

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The mean weight of a bag checked in at Southwest Airlines is 36 pounds with a standard deviation of 3.5 pounds. If two random bags were checked, what is the mean and the standard deviation of the weights of the two bags?

36, 4.95

36, 7

72, 4.95

72, 7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The mean weight of a dog is 34 pounds with a standard deviation of 6.7 pounds. The mean weight of a cat is 12 pounds with a standard deviation of 3.1 pounds. If you have 2 dogs and 1 cat, what is the mean and standard deviation of their total weight?

80, 9.969

80, 16.5

46, 7.382

46, 16.5

5.

MULTIPLE CHOICE QUESTION

5 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 that you win. 
Which of the following is the expected value of X?
$1.00
$2.50
$4.00
$6.00

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the missing value for P(X=5) in the probability ditribution:


Number of Toys | Probability

0| 0.03

1| 0.16

2| 0.30

3| 0.23

4| 0.17

5| ?

0.11

0.21

0.01

0.31

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