Purchase Solution

Probability: Considering Failure Rates

Not what you're looking for?

Ask Custom Question

The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics, and 9% of the students failed mathematics and physics. A student is selected at random.

a.) If a student failed physics, what is the probability that he or she failed mathematics?

b.) If a student failed mathematics, what is the probability that he or she failed physics?

c.) What is the probability that he or she fails mathematics or physics?

Purchase this Solution
Solution Summary

This solution provides detailed reasoning to explain how to formulate the necessary ratios required to solve for these probability-based questions. All final answers are given as ratios and this solution is just under 270 words.

Solution Preview

a) Let's put numbers first to make things clear. Suppose the number of students is 100. Then among these students, 27 failed physics, and 9 failed both: physics and mathematics. The important fact here is that these 9 that failed both are among the former 27. Hence if we pick at random a student who failed physics (i.e. between 27 students), the probability ...

Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Risk management, Fragility, Uncertainties, Fault Tolerant Systems, Explosion

    (b) Supposing no failure of any component occurs in 5,000 hours of operation. What would be your revised estimate of failure rates of the components in your system? 3.

  • Probability of Radio Failure

    Sol: Here, p = 0.22 x 10-5, n = 1000, x = 0 (not a single instance of failure) Binomial Probability P(x = 0) = = 1*1* = 0.9978 This solution gives step-by-step calculations for probability. Radio operating and failure rates are examined.

  • Risk Analysis and Management Fault tolerant systems Nuclear Power Plant Safety

    (b) Supposing no failure of any component occurs in 5,000 hours of operation. What would be your revised estimate of failure rates of the components in your system? (a) Calculate the probability that the system will fail in 3,000 hours.

  • expected value

    87099 Branch office Outdoor Sports Company, with its main office in Iowa, is considering opening a branch office in Los Angeles.

  • Financial Markets and Services

    230410 Rates of return; probability return; expected rates; standard deviation;CAPM See the attached problem. 1.

  • Probability-failure rate

    179949 Probability-failure rate A fire detection sensor is tested for its failure rate and found to have a mean failure rate of 3.6E-2 per hour of exposure with a standard deviation of .4E-2 per hour. The distribution of the failure rates is normal.

  • Expected Value

    ___Million In a discrete instance like this we can just take the probability of succeeding and multiply that by the expected amount of success and from that subtract the product of the probability of failure and the expected cost of failure.

  • Place-Plus

    The management of first American Bank was concerned about the potential loss that might occur in the event of a physical catastrophe such as a power failure or a fire.

  • Wireless Networks Questions

    Solve this by using both the Markov packet error model (where r=Pr(Success|Failure) ) and the level crossing rates (assume an exponential distribution for fading and non-fading durations).

View More Related Solutions