Probability and statistic

An assembly consists of three mechanical components. Suppose that the probabilities that the first, second, and third components meet specifications are 0.95, 0.96, and 0.98. Assume that the components are independent. Let X be the number of components that meet specifications. Determine the probability mass function of X. Round your answers to five decimal places (e.g. 98.76543).

P(X=0)
P(X=1)
P(X=2)
P(X=3)

  1. 👍
  2. 👎
  3. 👁
  1. P(X = 0) = (0.05)(0.02)(0.01) = 0.00001
    P(X = 1) = (0.95)(0.02)(0.01) + (0.05)(0.98)(0.01) +(0.05)(0.02)(0.99) = 0.00167
    P(X = 2) = (0.95)(0.98)(0.01) + (0.95)(0.02)(0.99) +(0.05)(0.98)(0.99) =0.07663
    P(X = 3) = (0.95)(0.98)(0.99) = 0.92169

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    What is the main difference between mechanical and electromagnetic waves? A. Mechanical weaves involved transfers energy; electromagnetic waves do not B. Mechanical waves require a medium to travel in; electromagnetic waves do

  2. Science

    1. Which of the following statements about mechanical waves is true? a. mechanical waves require a medium to travel through b. mechanical waves do not have amplitude and wavelength c. mechanical waves do not have frequency d.

  3. PHY

    The components of a vector V can be written (Vx, Vy, Vz). What are the components and length of a vector which is the sum of the two vectors, V1 and V2, whose components are (5.0, 1.3, -15.0) and (2.3, -4.7, -1.0)?

  4. Science

    1. Which of the following statements about mechanical waves is true? Mechanical waves require a medium to travel through. Mechanical waves do not have amplitude and wavelength.** Mechanical waves do not have frequency. Mechanical

  1. Math

    Soundex produces x Model A radios and y Model B radios. Model A requires 15 min of work on Assembly Line I and 10 min of work on Assembly Line II. Model B requires 10 min of work on Assembly Line I and 12 min of work on Assembly

  2. Calculus

    A force of 200 N is resolved into two vector components of 150 N and 80 N. Are these rectangular vector components? Justify your response. If they are not, determine the directions of the components.

  3. math

    A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below. Find the probabilities. (Enter the probabilities as fractions.) (a) P(two of diamonds) 1 (b) P(two) 2 (c) P(diamond) 3

  4. math

    A complete probability model is described by which of the following statements? A. A list of all possible outcomes in the sample space and their probabilities B. The actual outcomes of a trial C. The number of trials conducted D.

  1. Mathamatics

    The ratio of boys to girls in the assembly was 5 to 4. If 180 students were in the assembly, how many girls were there?

  2. Maths

    a missile guidance system has five fail-safe components. the probability of each failing is 0.05. find these probabilities. a) Exactly 2 will fail b) More than 2 will fail c) All will fail. d) Compare the answer for parts a, b, c,

  3. Science

    Electromagnetic and mechanical waves have different characteristics that make them advantageous for certain applications. Select the reasons that mechanical waves, such as ultrasound, are used for soft tissue imaging and to

  4. Physics

    Suppose you must remove an average of 3.4 X 10 ^8 J of thermal energy per day to keep your house cool during the summer. If you upgrade from an old air conditioner with a COP of 2 to a new one with a COP of 6, by how many joules

You can view more similar questions or ask a new question.