Let X denote the amount of storage (in GB) that someone has used on their iPhone 11. Assume the probability density func

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Let X Denote The Amount Of Storage In Gb That Someone Has Used On Their Iphone 11 Assume The Probability Density Func 1 (122.94 KiB) Viewed 80 times

Let X denote the amount of storage (in GB) that someone has used
on their iPhone 11. Assume the probability density function of X is
given by f(x)=1029/x^4, for x≥7,
(note that the built-in storage takes up 7GB, so it isn’t possible
for there to be less than 7G used).
Let X denote the amount of storage (in GB) that someone has used on their iPhone 11. Assume the probability density function of X is given by 1029 f(x) = for x > 7, 2 x4 (note that the built-in storage takes up 7GB, so it isn't possible for there to be less than 7GB used). a. Find the cumulative distribution function F(x). b. Compute the median of X. (i.e. the value m such that F(m) = 0.5) c. What are the mean and variance of X? d. Suppose we are actually interested in Y = log (X/7). What type of distribution does Y have (provide the name and values of parameters)?