We simulate the random variable X =1+2√ U constructed in Quick exercise 6.3. As realization for U we obtain from the pseudo random generator the number u = XXXXXXXXXX. a. What is the corresponding...

We simulate the random variable X =1+2√ U constructed in Quick exercise 6.3. As realization for U we obtain from the pseudo random generator the number u = 0.3782739.

a. What is the corresponding realization x of the random variable X?

b. If the next call to the random generator yields u = 0.3, will the corresponding realization for X be larger or smaller than the value you found in a?

c. What is the probability the next draw will be smaller than the value you found in a?