4 Solved Problems on the Engineering Reliability - Assignment 1 | MEM 361, Assignments of Mechanical Engineering

Material Type: Assignment; Class: Engineering Reliability; Subject: Mechanical Engr & Mechanics; University: Drexel University; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

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MEM 361 Engineering Reliability
Problem Set 1
1) Let the random variable X be defined as the product of the two numbers when 2 dice
are rolled.
List all possible values of X by this mechanism;
Determine the theoretical probability function, f(x);
Sketch a bar-chart for f(x);
Compute F(25), explain the meaning of F(25);
Compute R(15), explain the meaning of R(15);
Show that the sum of all possible value of f(x) equals to one.
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MEM 361 Engineering Reliability Problem Set 1

  1. Let the random variable X be defined as the product of the two numbers when 2 dice are rolled.
  • List all possible values of X by this mechanism;
  • Determine the theoretical probability function, f(x);
  • Sketch a bar-chart for f(x);
  • Compute F(25), explain the meaning of F(25);
  • Compute R(15), explain the meaning of R(15);
  • Show that the sum of all possible value of f(x) equals to one.
  1. A coin-bag contains 3 pennies, 2 nickels and 3 dimes. If 3 coins are to be taken from the bag each time, their sum is then a random variable: X.
  • List all the possible values of X by this mechanism;
  • Determine the associated probability distribution f(x);
  • Plot the distribution as a bar-chart;
  • Show that the sum of all possible value of f(x) equals to one.
  1. Let the random variable X be the sum of the three numbers when 3 dice are rolled.
  • Complete the theoretical probability distribution f(x) for X;
  • Show your results in a bar-chart;
  • Comment on the form of the bar-charts obtained by rolling 1, 2 and 3 dice, respectively.