My Math Forum 2 part probability problem

 February 23rd, 2012, 08:18 PM #1 Newbie   Joined: Feb 2012 Posts: 10 Thanks: 0 2 part probability problem Part 1: It is found that when a particular 4-sided die is rolled a 1 occurs 20.5% of the time, a 2 occurs 24.3% of the time, a 3 occurs 28.8% of the time, and a 4 occurs 26.4% of the time. a) If the die is rolled eight times, what is the probability that an odd number occurs exactly four times? b) What is the expected value of a single roll of the die? Part 2: For the die in problem #9, let the random variable X be defined as X = (the number of times that 2 occurs). If the die is rolled a total of four times: a) Construct a table for the probability distribution of X. b) Construct a histogram for the probability distribution of X. c) Find E(X).
 February 24th, 2012, 12:34 AM #2 Senior Member   Joined: Oct 2011 From: Belgium Posts: 522 Thanks: 0 Re: 2 part probability problem 1 a) $\binom{8}{4} \cdot (\frac{20.5 + 28.8}{100})^4 \cdot (1-\frac{20.5 + 28.8}{100})^4$

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