Free Printable WorksheetMathPre-CalculusMath CurriculumPre-CAL.168

Pre CAL.168 Expected Value and Risk in Context Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.168 Expected Value and Risk in Context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.168 Expected Value and Risk in Context - Expected Value and Risk in Context

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Pre-Calculus

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related Pre CAL.168 Expected Value and Risk in Context skill assessments:

Problem 1Difficulty: Mastery

A town compares two snow-removal contracts. Snowfall levels are: - Light with probability 0.50 - Moderate with probability 0.35 - Heavy with probability 0.15 Contract 1 total cost (in dollars): Light: 8000 Moderate: 11000 Heavy: 17000 Contract 2 total cost (in dollars): Light: 9000 Moderate: 10500 Heavy: 15000 Based on expected value, which contract has the lower expected cost?

AContract 1

BContract 2

CThey have the same expected cost

DCannot compare without last year's snowfall

Solution & Explanation:E(cost, Contract 1) = 8000*0.50 + 11000*0.35 + 17000*0.15 = 10400. E(cost, Contract 2) = 9000*0.50 + 10500*0.35 + 15000*0.15 = 10425. Since 10400 < 10425, Contract 1 is lower, so A.

Problem 2Difficulty: Mastery

A random variable X has outcomes: - -2 with probability 0.4 - 1 with probability 0.35 - 6 with probability 0.25 What is E(X)?

A1.05

B0.95

C1.15

D2.05

Solution & Explanation:E(X) = (-2)*0.40 + 1*0.35 + 6*0.25 = -0.8 + 0.35 + 1.5 = 1.05, so A.

Problem 3Difficulty: Mastery

A worker's shift length H (in hours) has this distribution: - 6 hours with probability 0.25 - 8 hours with probability 0.5 - 10 hours with probability 0.25 Pay is $18 per hour for the first 8 hours and $27 per hour for any hours above 8. What is the expected pay for one shift (in dollars)?

A144

B148.5

C150

D198

Solution & Explanation:Compute pay for each possible shift: 6 hours -> 6*18=108 8 hours -> 8*18=144 10 hours -> 8*18 + 2*27 = 198 Expected pay = 108*0.25 + 144*0.50 + 198*0.25 = 148.5, so B.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Pre-Calculus Math students. It aligns with educational standard Pre-CAL.168 (Expected Value and Risk in Context).