Question: We will generate random numbers in the following way: - flip a fair coin (with 50% chance of Heads, 50% chance of Tails); - if

We will generate random numbers in the following way:

- flip a fair coin (with 50% chance of Heads, 50% chance of Tails);

- if the result is Heads, then generate a random number from the continuous uniform distribution on [0,1];

- if the result is Tails, then simply use the number 1 as the result.

(a) Find the expected value.

(b) Find the variance

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