There is a genetic defect that affects one in 1500 males? world-wide, with no et
ID: 2949424 • Letter: T
Question
There is a genetic defect that affects one in 1500 males? world-wide, with no ethnic bias. Complete parts a through c.
A) In a sample of 10,000 ?males, how many would you expect to have this genetic? defect? = 6.67 males
B) For a sample of 10,000males, use the normal approximation to the binomial distribution to determine the probability that more than 8 of the males have the genetic? defect; at most 10 of the males have the genetic defect. =.2389 for probability of more than 8 males, .9306 for at most 10 males have the genetic defect.
C)The probabilities in parts a and b could also have been found by using the Poisson approximation to the binomial distribution. Which estimates of the true binomial probabilities would you expect to be? better, the ones using the normal approximation or those using the Poisson? approximation? Explain your answer.
The _______ (Possion or normal) approximation should be a better estimate because n is ______(large or small), p is_____(large or small) and the distribution is ______(symmetric, slightly skewed, uniform, largely skewed)
PLEASE HELP WITH QUESTION C. Thank you!!!
Explanation / Answer
ANSWER TO QUESTION C ONLY IS ASKED:
(C)
The Poisson approximation should be a better estimate because n is large , p is small and the distribution is largely skewed.
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