The continuous random variable X has a probability density function (pdf) given by 1 for 0...

  

Transcribed Image Text:

The continuous random variable X has a probability density function (pdf) given by 1 for 0 < x < 2 f(x) = { otherwise Part(a) Find the value of c correct to one decimal place given that E(X + c) = 4E(X – c). Part(b) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than - and the other is greater than . The order in which we take observations matters. Part(c) Find Var(X), correct to 2 decimal places. Part(d) Find P(X > ;). Give your answer as a decimal, correct to 2 decimal places. -7/16 The continuous random variable X has a probability density function (pdf) given by 1 for 0 < x < 2 f(x) = { otherwise Part(a) Find the value of c correct to one decimal place given that E(X + c) = 4E(X – c). Part(b) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than - and the other is greater than . The order in which we take observations matters. Part(c) Find Var(X), correct to 2 decimal places. Part(d) Find P(X > ;). Give your answer as a decimal, correct to 2 decimal places. -7/16

Answer rating: 100% (QA)

1 pt The continuous random variable X has cumulative dis... View the full answer