The heights of females in a company are normally distributed with mean 160 cm and standard deviation 8cm. (a) Find the probability that a randomly selected female has a height taller than 163cm. (b) Find the probability that a randomly selected female has a height between 155cm and 163cm. (c) 82% of adult female is taller than h cm. Find h.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The heights of females in a company are
(a) Find the
(b) Find the probability that a randomly selected female has a height between 155cm and 163cm.
(c) 82% of adult female is taller than h cm. Find h.
Given there are 250 females in the company.
(d) Find the number of females whose height is taller than 163cm.
(e) If three females are to be chosen randomly, find the probability that three of them are taller
Please answer all parts.
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