I have a problem I need checked. Thanks in advance.
1.Thirty-four percent of people in the U.S. have type A+ blood. You randomly select 68 people in the U.S. and ask them if their blood type is A+. Find the probability that at most 35 of these people will say they have A+ blood. (Use the normal distribution to approximate the binomial distribution, don't forget the correction for continuity).
Here is what I get. Could someone please check?
Mean= 68(.34)=23.12 Sigma=sqrt[68(.34)(.66)]=3.906
Z= (35.5-23.12)/3.906=3.17
P(at most 35)= P( at most 35.5) = P(z<3.17)=.9992
1.Thirty-four percent of people in the U.S. have type A+ blood. You randomly select 68 people in the U.S. and ask them if their blood type is A+. Find the probability that at most 35 of these people will say they have A+ blood. (Use the normal distribution to approximate the binomial distribution, don't forget the correction for continuity).
Here is what I get. Could someone please check?
Mean= 68(.34)=23.12 Sigma=sqrt[68(.34)(.66)]=3.906
Z= (35.5-23.12)/3.906=3.17
P(at most 35)= P( at most 35.5) = P(z<3.17)=.9992