The mean and the standard deviation are the same for which distribution?Question 4Answera.Uniform distributionb.exponential distribution

3. Let random variable X has exponential distribution with parameter ν.Find probabilityP (X ∈ [E(X) − σX ; E(X) + σX ])where σX is standard deviation of X.

The mean for the standard normal distribution is ____.

Which distribution does the decay parameter belong to?Question 2Answera.Uniform Distributionb.Poisson distributionc.Exponential di

Which one of the following statements about a series of random samples of size 100 drawn from a large population known to be exponentially distributed is always correct?The distribution of the means of these samples will be exponentialThe standard deviation of the means of the samples will be the same as that of the overall populationThe means of these samples will all lie within 1% of the mean of the populationAs the number of samples taken increases, the distribution of the means of the samples tends to become more symmetric

Suppose a random variable X has the following probability density function: Find standard deviation, ? (Hint :first find the value of A so that is a probability density function and then calculate standard deviation).