For the distribution (given in equation form below): Calculate the value of k. a) b) Calculate...

Transcribed Image Text:

For the distribution (given in equation form below): Calculate the value of k. a) b) Calculate the distribution mean μ and variance ². c) Sketch the probability distribution function (pdf) and the cumulative probability distribution function (cdf). The cumulative probability distribution is the sum of probabilities from the least value to the greatest, so for each value of x what is the "accumulated" proabability: for x=1, the probability is as stated in the pdf, for x=2, you are calculating the p(x ≤ 2), for x=3 calculate p(x ≤3), etc. p(x) = 4k, 10k, 6k, x = 1 x = 2 x = 3 For the distribution (given in equation form below): Calculate the value of k. a) b) Calculate the distribution mean μ and variance ². c) Sketch the probability distribution function (pdf) and the cumulative probability distribution function (cdf). The cumulative probability distribution is the sum of probabilities from the least value to the greatest, so for each value of x what is the "accumulated" proabability: for x=1, the probability is as stated in the pdf, for x=2, you are calculating the p(x ≤ 2), for x=3 calculate p(x ≤3), etc. p(x) = 4k, 10k, 6k, x = 1 x = 2 x = 3