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1) The chances you go to the game on Saturday is 0.3, and the probability of staying home on Sunday is 0.4. Find the probability of doing both:
a. If they are mutually exclusive
b. if they are independent
For this problem, p(a) = game and p(b) = staying.
a. If they're mutually exclusive, is it just Ø?
b. P(AintersectionB) = P(a) * p (b) =
0.3 * 0.4 = 0.12
2) Suppose 30% of students attend more than one institution during their college career. A sample of 10 students is chosen. Assume that each student's college attendance pattern is independent of each other
a. Exactly 5 of the 10 attend more than one institution
b. At least two of the students attend more than 1 institution.
I think this is a binomial problem right?
n= 10 p=0.30 q=0.70
a) p(x=5) c(10,5) (.30)^5 (.70) ^10-5
so set up like this?
b) At least - so a trick I use to remember this to is to think of more. So At least two is p(x>2)?
I like to do it the quick way:
1- p (x=0) + p (x+1)
p(x=0 ) = c(10,0) (.30)^0 (.70)^10-0
p(x=1 ) = c(10,1) (.30)^1 (.70)^10-1
2 answers
I already wrote my answers?????
1 answer