Answer the following question?

PLEASE DO IT FAST.

l. A 3-sided die is tossed repeatedly. Find the probability {a} the rst 1 appears on the eighth toss; (b) the third 1 appears on the eighth toss; (c) the eighth 1 appears on the eighth toss: {d} there are exactly three ['3 in the rst eight tosses. (e) What is the expected number of tosses until the eighth l? 2. (a) Suppose X . Y are independent Geometridp) random variables. Find Px+y(4). (b) Find 133(4) if Z ~ Pascalt2.p). Bonus. Show X + 1' ~ Pascallz. p]. Hint. Use Total Probability conditioned on the value of X. 3. Customers arrive at Mark's Market about once every 5 minutes. Find the probability (a) exactly 10 customers arrive in the rst hour; (b) no more than two customers arrive in the next 15 minutes; {c} at least 2 customers arrive between 1 1:40 am and noon. 4. Chris has a 1% chance of typing a word incorrectly. Find, to three decimal places. the probability of Chris typing 2 or fewer words incorrectly on a page of 300 words using the (a) Binomial distribution; (b) Poisson approximation