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Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Expected Value
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A company that manufactures electronic devices. One in every 50 devices is defective, but the company doesn't know which devices are defective until buyers complain. What is the probability that the device is not defective?

1

50

1/50

49/50

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A company that manufactures electronic devices. One in every 50 devices is defective, but the company doesn't know which devices are defective until buyers complain. What is the probability that the device is not defective?

1

50

1/50

49/50

Tags

CCSS.HSS.CP.B.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A company that manufactures electronic devices. One in every 50 devices is defective, but the company doesn't know which devices are defective until buyers complain. Let's say the company makes $2 but loses $75 for each defective device because it has to repair it. Determine the expected value of the electronic devices?

(150)(2)−(4950)(75)\left(\frac{1}{50}\right)\left(2\right)-\left(\frac{49}{50}\right)\left(75\right)

(150)(75)−(4950)(2)\left(\frac{1}{50}\right)\left(75\right)-\left(\frac{49}{50}\right)\left(2\right)

(150)(−85)+(4950)(2)\left(\frac{1}{50}\right)\left(-85\right)+\left(\frac{49}{50}\right)\left(2\right)

(150)(−2)+(4950)(75)\left(\frac{1}{50}\right)\left(-2\right)+\left(\frac{49}{50}\right)\left(75\right)

Tags

CCSS.HSS.MD.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

AMDM Class = 97 students

Pre-Cal = 103 students

200 students in total

What is the probability of the AMDM student?

48.5%

51.5%

97%

103%

Tags

CCSS.7.SP.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

AMDM Class = 97 students

Pre-Cal = 103 students

200 students in total

What is the probability of the Pre-cal student?

48.5%

51.5%

97%

103%

Tags

CCSS.8.SP.A.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the data 2023 on two senior math courses at an APS high school (those who participated in the Math Club)

AMDM = 97

103 Pre-Cal

Total 200

$10,000 Budge of a field trip to New York was offered to the math club students those who participated in the math club of the school, a half for each course. No AMDM student join the club. Determine the expected value.

(97 )(−5000)+ (103)(5000)\left(97\ \right)\left(-5000\right)+\ \left(103\right)\left(5000\right)

(97 )(5000)+ (103)(−5000)\left(97\ \right)\left(5000\right)+\ \left(103\right)\left(-5000\right)

(97200 )(−5000)+ (103200)(5000)\left(\frac{97}{200}\ \right)\left(-5000\right)+\ \left(\frac{103}{200}\right)\left(5000\right)

(97200 )(5000)+ (103200)(−5000)\left(\frac{97}{200}\ \right)\left(5000\right)+\ \left(\frac{103}{200}\right)\left(-5000\right)

Tags

CCSS.HSS.MD.A.2

7.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

Let's begin with a very simple example of a game that Rena and Larson are playing. Rena rolls a regular six-sided die. If the die lands on an even number, Rena gets $1 from Larson. However, if the die lands on a odd number, Rena must give $1 to Larson. Either player could win $1 on each roll of the die. But, who would win money in the long run if Rena and Larson play this game many times?

(a)  

Tags

CCSS.HSS.MD.B.5A

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