2) Find the probability that all 10 of the subjects you selected did not result

Question

2) Find the probability that all 10 of the subjects you selected did not result in a pregnancy. Round your final answer to 4 decimal places.

3) Is it unusual to have 10 ART cycles not result in a pregnancy? Why?

4) Your manager claims that this is impossible. Explain why her claim is or is not correct.

5) Among females age 41, the probability that an ART cycle resulting in a pregnancy is 21.4%. Someone tells you that 10 randomly selected cycles was collected. The table at the right shows the probability distribution for X, the number of ART cycles that result in a pregnancy for females age 41. a) Find the probability that 8 or more cycles result in a pregnancy.

b) Based on your answer in (a), would you believe that the sample collected was random? Explain with a sentence or two.

c) Find the probability that 1 or fewer cycles result in a pregnancy.

d) Based on your answer in (c), would you believe that the sample collected was random? Explain with a sentence or two.

P(X) 0.0900 0.2450 0.3002 0.2180 0.1039 0.0339 00077 0.0012 0.0001 0.0000 10 0.0000 )| 0 0 0 0 3 3 7 20 002099 833 /p-09 2 3 21 103 023210 00000000000 X0123456789 10

Explanation / Answer

1) the probability does not change here, all trials are independent and the number of trials is finite. So, this is a binomial experiment

2) Probability that all 10 of the subjects you selected did not result in a pregnancy = 0.62410 = 0.00895

3) It is unusual to have  10 ART cycles not result in a pregnancy, because the probability of such an occurance is 0.00895 which is less that 0.05

4) Her claim is incorrect. The probability of such an event is rare, but that doesnt means that it is impossible. If it was impossible, the probability would have been 0, but here, the probability is 0.00895

[Please post different questions seperately]

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