EL630 HW3

# EL630 HW3 - EL630: Homework 3 1. (Book:3-1) Let p represent...

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1 EL630: Homework 3 1. (Book:3-1) Let p represent the probability of an event A . What is the probability that (a) A occurs at least twice in n independent trials; (b) A occurs at least thrice in n independent trials? 2. (Book:3-2) A pair of dice is rolled 50 times. Find the probability of obtaining double six at least three times. 3. (Book:3-3) A pair of dice is rolled 10 times. Find the probability that “seven” will show at least once. 4. (Book:3-4) A coin with ( ) 1- ph p q = = is tossed n times. Show that the probability that the number of heads is even equals 0.5[1 ( - )] n q p + . 5. (Book:3-6) Consider the following three events: (a) At least 1 six is obtained when six dice are rolled, (b) at least 2 sixes are obtained when 12 dice are rolled, and (c) at least 3 sixes are obtained when 18 dice are rolled. Which of these events is more likely?

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## This note was uploaded on 02/10/2012 for the course EL 6303 taught by Professor Pm during the Spring '10 term at NYU Poly.

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EL630 HW3 - EL630: Homework 3 1. (Book:3-1) Let p represent...

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