Exercise 5.4. in parts (a)–(d) below, either use the information given to determine the distribution of the random variable, or show that the information given is not sufficient by describing at least two different random variables that satisfy the given condition. (a) x is a random variable such that x(t) = e6t2 when |t| < 2. (b) y is a random variable such that my (t) = 2 2−t for t < 0.5. (c) z is a random variable such that mz(t) = [infinity] for t ≥ 5. (d) w is a random variable such that mw(2) = 2.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

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step-by-step explanation:

nndncnd cnn

snddnd

hi there!

the answer is: 2 and -2

step-by-step explanation:

case 1: an absolute value of positive number will still be a positive number

so absolute value of 2 is 2

case 2: an absolute value of negative number will be positive number so absolute value of -2 is 2