A university lecture theatre has 200 seats with folding arm tablets, 30 of which are designed for left-handers. A class of 180 students meets there. If 13% of the general student population is left-handed, what is the expected number of right- handed students in this class? State the distribution of X = the number of right-handed students in the class, and any necessary parameters. Indicate any assumptions you are making in nominating this distribution for X. Use Excel to find the exact probability that a right-handed student is forced to use a left-handed tablet due to lack of seating (i.e. X > 170). Show screen details.
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!
A university lecture theatre has 200 seats with folding arm tablets, 30 of which are designed for left-handers. A class of 180 students meets there.
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If 13% of the general student population is left-handed, what is the expected number of right- handed students in this class?
-
State the distribution of X = the number of right-handed students in the class, and any necessary parameters. Indicate any assumptions you are making in nominating this distribution for X.
-
Use Excel to find the exact
probability that a right-handed student is forced to use a left-handed tablet due to lack of seating (i.e. X > 170). Show screen details.
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