Intelligent life was found in space and an anthropologist was sent to get to know these extraterrestrials. The most important task of an anthropologist is to study the heights of these space creatures. He found out that the lengths of aliens are normally distributed with an expected value of 234 centimeters and a standard deviation of 9.2 centimeters, if the length of the antenna on the end of the alien is not taken into account. The lengths of the aliens' antennae are normally distributed with an expected value of 120 centimeters and a standard deviation of 20 centimeters. The anthropologist also noticed that the length of the alien and the length of the antenna do not depend on each other. (a) How large a proportion of extraterrestrial beings are less than 200 centimeters long (the length of the antenna is not taken into account)? (b) How many extraterrestrials have an antenna length exceeding 150 centimeters? (c) What proportion of extraterrestrials have a length of more than 220 centimeters and an antenna length of less than 125 centimeters?
Intelligent life was found in space and an anthropologist was sent to get to know these extraterrestrials. The most important task of an anthropologist is to study the heights of these space creatures. He found out that the lengths of aliens are
(a) How large a proportion of extraterrestrial beings are less than 200 centimeters long (the length of the antenna is not taken into account)?
(b) How many extraterrestrials have an antenna length exceeding 150 centimeters?
(c) What proportion of extraterrestrials have a length of more than 220 centimeters and an antenna length of less than 125 centimeters?
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