Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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%