The probability of rolling a specific number on an unbiased die is 1/6. Bob decides to roll the die until it lands on "6". Assuming that each time he rolls the die is an independent event. You may round your answers to 4 decimal places.

Part a)

What is the probability it takes Bob more than 21 attempts to get his first "6"?

Part b)

What is the probability that his 6th "6" on the die is on his 29th attempt at rolling the die

Part c)

What is the expected value and variance of the number of attempts X, it will take Bob to successfully roll his first "6"?

E(X)=

Var(X)=

pur-new-sol

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