# statistics math problems

1. 51% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly eight, (b) at least eight, and ( c ) less than eight. If convenient, use technology to find the probabilities.(a) P (8)=____ (round to the nearest thousandth as needed)Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.n=125, p=0.89The mean, ,u, is_____. (Round to the nearest tenth as needed.)The variance, G2, is ____. (Round to the nearest tenth as needed.)The standard deviation, G, is ___. ( Round to the nearest tenth as needed.)2. Sixty-five percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and ( c ) at most five.(a) Find the probability that number that say they would feel secure is exactly five.P(5)=___(Round to the tree decimal places as needed)(b) Find the probability that the number that say they would feel secure is more than five.P( x-5)=(Round to the three decimal places as needed)( c ) Find the probability that the number that say they would feel secure is at most five.p(x<5)=____(Round to three decimal places as needed)4. 38% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly, three, (b) at least four and ( c ) at most two. If convenient, use technology to find the probabilities.(a) P(3)=___ (Round to the nearest thousandth as needed)(b) P(x>4)=___ ( Round to the nearest thousandth as needed).(c ) P(x>2)=___( Round to the nearest thousandth as needed),5. 39% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and ( c ) between two and five inclusive. If convenient, use technology to find the probabilities.(a) p(2)=__ ( Round to the nearest thousandth as needed,)( b) p(x>2)=____(Round to the nearest thousandth as needed.)(c ) p(2>x>5)=___(Round to the nearest thousandth as needed.)