a) In how many ways you can pick 5balls from the urn b) In how many ways you can
ID: 2914615 • Letter: A
Question
a) In how many ways you can pick 5balls from the urn
b) In how many ways you can pick 2red and 3 black balls from the urn?
c) You picked 5 balls from theurn? What is the Probability that yourselection contains 2 red and 3 black balls?
2 - Of all college freshmen who try out for the track team, thecoach will only accept 30%. If 15 freshmen try out for the trackteam, what is the probability that
a) All 15 are accepted?
b) At least 2 people areaccepted?
3- USA Today reported that about 20% of all people in the UnitedStates are illiterate. Suppose you take seven people at random offCity Street. Find the mean and standard deviation of thisprobability distribution.
4- It was found that 60% of American victims of health carefraud are senior citizens. If 10 victims are randomly selected,find the probability that exactly 3 are senior citizens.
Explanation / Answer
1) a) 10C5 = 252 b) (4C2)(6C3) = 120 c) 120/252 = 47.6% 2) binomial distribution P = nCr p^r q^(n-r) n=15 p=.3 q=1-.3=.7 a) r = 15, so P = 1.43*10^-8 b) P = 1- (P(r = 0) + P(r = 1)) P = .9647 3) mean = n p = 7(.2) = 1.4 SD = n p (1-p) = 7(.2)(.8) = 1.12 4) binomial distribution P = nCr p^r q^(n-r) n=10 r = 3 p=.6 q=1-.6=.4 P = .0425 P = 4.25%
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