A normal distribution approximation could be used for your calculation in Q3. Determine the mean and standard deviation of the normal distribution, and then perform the calculation from Q3 on Excel, using this normal distribution (continuity correction is not required). Is your answer close to the exact probability from Q3?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 4 below.

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.

  1. (For reference only) If 13% of the general student population is left-handed, what is the expected number of right- handed students in this class?

  2. (For reference only) 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.

  3. (For reference only) 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.

  4. A normal distribution approximation could be used for your calculation in Q3. Determine the mean and standard deviation of the normal distribution, and then perform the calculation from Q3 on Excel, using this normal distribution (continuity correction is not required). Is your answer close to the exact probability from Q3?

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