SOLUTION: It is known that when a particular 4-sided die is rolled a 1 occurs 30% of the time, a 2 occurs 20% of the time, a 3 occurs 25.9% of the time, and a 4 occurs 23.1% of the time. Any

Algebra ->  Probability-and-statistics -> SOLUTION: It is known that when a particular 4-sided die is rolled a 1 occurs 30% of the time, a 2 occurs 20% of the time, a 3 occurs 25.9% of the time, and a 4 occurs 23.1% of the time. Any      Log On


   



Question 874036: It is known that when a particular 4-sided die is rolled a 1 occurs 30% of the time, a 2 occurs 20% of the time, a 3 occurs 25.9% of the time, and a 4 occurs 23.1% of the time. Any help would be greatly appreciated.
a) If the die is rolled 17 times, what is the probability that an odd number occurs exactly 9 times?
b) What is the expected value of a single roll of the die?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a) p(odd) = 55.9, n = 17
P(x= 9) = 17C9(.559)^9(.441)^8 0r binompdf(17, .559, 9 .1854 0r 18.54%
b) E = .30%2A1+%2B+.20%2A2+%2B+.259%2A3+%2B+.231%2A4