A spliced distribution has the following density function f(x)= 0.02, 0
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- Use the formula for mean of a continuous distribution to calculate the mean of the following exponential distribution with density function:In the standard normal distribution, the area under its density curve for Z between 0.12 and 1.57 isA continuous random variable has the following density function ofprobability, determine ? (3 ≤ ? ≤ 5)
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- The probablity density function for continuous random variable, x, is given above. Find P(x<3)Suppose that the continuous random variable X has a probability density function, given by: Find the standard deviation of the random variable X.The probability density function of the random variable X is as in the picture with λ> 0. Investigate whether the most likelihood estimator (λ^) of λ is neutral.
- Consider three random variables X, Y, and Z with distribution functions, Which of the random variables X, Y and Z has a density function?Let X be a continuous random variable with the following pdf: If needed, round to FOUR decimal places.Use the standard normal distribution table to find the area. Left of z=2.0