I ,h Course: MA-243-IN-SPRINCI S checkpoint for Lesson 7.1 % mt for Lesson i × K

Question

I ,h Course: MA-243-IN-SPRINCI S checkpoint for Lesson 7.1 % mt for Lesson i × KOOwww.webassign.nev/web/Student/Ass ses/submit?dep-17742843 veeu nerp My 9. In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. lead from the environment. Now suppose only% f More than a decade ago, high levels of lead in the blood put 87% of children at ris t A concerted ef it as made tone nov children in the United States are at risk of high blood-lead levels. (a) In a random sample of 202 children taken more than a decade ago, what is the probability that 50 or more had high blood-lead levels? (Round your answer to three decimal places.) (b) In a random sample of 202 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.) Need Help? Read itTalk toTutor My Notes Ask Your 10.-4 points BBBasicStat7 7.6.011

Explanation / Answer

a)

for binomial distribution ; mean= np=202*0.87 =175.74

std deviation =(np(1-p)))1/2 =4.780

as np>=10 and n(1-p)>=10 we can use normal approximation

b)

probability = P(X>49.5) = P(Z>-26.41)= 1-P(Z<-26.41)= 1-0= 1.000

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