Political Science homework help
Political Science homework help. Assume thatÿwomen’sÿheights are normally distributed with a mean given byÿ?=63.8ÿin,and a standard deviation given byÿ2.5 inå=2.5ÿin.ÿ ÿ ÿ ÿIfÿ15ÿwomen are randomlyÿselected,ÿfind the probability that they have a mean height betweenÿ63.1in andÿ64.1in.ÿThe probability is approximately_____.ÿIf 15 women areÿrandomlyÿselected,ÿfind the probability that they have a mean height between63.163.1and 64.1 in.The probability is approximately_______A safety light is designed so that the times between flashes are normally distributed with a mean of3.00 sÿand a standard deviation ofÿ0.70ÿs.a.ÿFind the probability that an individual time is greater thanÿ4.00 s.b.ÿFind the probability that the mean forÿ60ÿrandomly selected times is greater thanÿ4.00 s.c.ÿGiven that the light is intended to help people see anÿobstruction,ÿwhich result is more relevant for assessing the safety of theÿlight?ÿ3.ÿA statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between46.0ÿand 56.0 minutes. Find the probability that a given class period runsÿless than 50.5 minutes.ÿ -Find the probability of selecting a class that runÿless thanÿ50.5 minutes.ÿ4.A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between50.0and 60.0ÿminutes. Find the probability that a given class period runs between50.75 andÿ51.0 minutes.ÿÿÿ5. Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.–z=0.62 (the area shaded is to the left of 0.62)ÿ6. Assume the readings on thermometers are normally distributed with a mean ofÿ0degreesøCand a standard deviation ofÿ1.00degreesøC.ÿFind the probabilityÿÿP(z0.52),ÿwhere z is the reading in degrees.P(z0.52)equals=__________7.Assume that adults have IQ scores that are normally distributed with a mean of100ÿand a standard deviation15.FindÿP9, which is the IQ score separating the bottomÿ99% from the topÿ91%.ÿ ÿThe IQ score that separates the bottomÿ99%from the topÿ91% isÿP9equals=_____ÿAssume that adults have IQ scores that are normally distributed with a mean of100ÿand a standard deviation of 15. Find the third quartileÿQ3,ÿwhich is the IQ score separating the top25%ÿfrom the others.ÿ—The thirdÿquartile,Q3, is_______.ÿ9.ÿA survey found thatÿwomen’sÿheights are normally distributed with mean63.5ÿin and standard deviation 2.5ÿin. A branch of the military requiresÿwomen’sÿheights to be between 58 in and 80 in.a.ÿFind the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or tooÿtall?b.ÿIf this branch of the military changes the height requirements so that all women are eligible except the shortestÿ1%ÿand the tallestÿ2%,ÿwhat are the new heightÿrequirements?ÿ10.ÿBirth weights are normally distributed with a mean of3418ÿg and a standard deviation of 496 g. If a hospital plans to set up special observation conditions for the lightestÿ22%ÿofÿbabies,ÿwhat weight is used for theÿcut-offÿseparating the lightest22%ÿfrom theÿothers?ÿÿ ÿ ÿ ÿ ÿ ÿ ÿTheÿcut-offÿweight that separates the lightestÿ22% ÿof babies from the others is__________g.The lengths of pregnancies are normally distributed with a mean ofÿ267ÿdays and a standard deviation ofÿ15days.ÿa.ÿFind the probability of a pregnancy lastingÿ308ÿdays or longer.ÿb.ÿIf the length of pregnancy is in the lowestÿ33%,then the baby is premature. Find the length that separates premature babies from those who are not premature. ÿTHIS IS DUE AT 3 AM (pacific time) SO IN ABOUT 3 HOURS FROM NOW!