Probability for PDF or CDF

Related BrainMass Solutions

• Limiting Extreme-Value Distribution

  Since CDF (cumulative distribution function) F(x)=1-1/x if and zero otherwise, we get the pdf(probability density function) as follows.

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• Weibull distributed X

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  (2.3) From equation (2.3) follows our previous result for the PDF of Y stated in equation (8). This solution explains in small details how to transform a probability distribution from one random variable to another

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  The location of this vehicle, X, has CDF F(x) = 1/400 for 0 < x < 400. What pmf or pdf does X have? 1c. Pedestrians cross at an intersection.

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  42598 Cumulative distribution function and probability density function Let f(x)= 1/3, -1pdf of X. Find the cdf and pdf of Y=X^2. Hint: Consider P(X^2<=y) for two cases: 0<=y<1 and 1<=y<4.

• Continuous random variable generated

  Question 4 Let T be the lifetime of a device and assume that the pdf of T is given by f(t)=(1/9)te-t/3 for t>0. The value of the device is 9 if it fails before time t=2, otherwise it has value V=5t. a. Find the cdf of V b.

• Cumulative Distribution and Probability Density Function and Expected Value

  (ii) Find the probability density function of X. (iii) Find the expected value of X. (i) since the cumulative distribution function (cdf) is the probability that the variable takes a value less than or equal to x.