1) You have a sample of 13 pea flowers. 5 of them are white, 8 purple. If you li

Question

1) You have a sample of 13 pea flowers. 5 of them are white, 8 purple. If you line them up in a row, how many different arrangements can you get? Note: WWWWWPPPPPPPP is one arrangementWPWPPWPPWPPWP is another arrangement, and so on. You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this. 2) In the U.S., about 85% of people are Rh positive for blood type. You take a sample of size 10. Figure out the following probabilities: a) Pr{Y = 7} b) Pr{Y=5) c) Pr{Y>8} d) Pr{Y

Explanation / Answer

Ans:

2)p=0.85

1-p=0.15

n=10

Binomial distribution:

a)P(Y=7)=10C7*0.857*0.153

Using Excel function:

P(Y=7)=BINOMDIST(7,10,0.85,FALSE)=0.1298

b)P(Y=5)=10C5*0.855*0.155

P(Y=5)=BINOMDIST(5,10,0.85,FALSE)=0.0085

c)P(Y>8)=1-P(Y<=8)=1-P(Y=9)-P(Y=10)

1-P(Y<=8)=1-BINOMDIST(8,10,0.85,TRUE)=0.5443

d)P(Y<9)=P(Y<=8)

P(Y<=8)=BINOMDIST(8,10,0.85,TRUE)=0.4557

1)Number of arrangements=13!/5!8!=1287

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