Solve the given problems by showing the following: The drawn normal curve. The shaded area The solution of your answer. Ample spaces are given for your solutions. Queenie uses her mobile phone for X minutes each day. X is a random variable which may be modelled by a normal distribution with mean 28 minutes and standard deviation 8 minutes. (a) Find the probability that on a particular day Queenie uses her mobile phone for less than 30 minutes; (b) Calculate an interval within which X will lie on middle 80% of days.

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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Solve the given problems by showing the following: 

  1. The drawn normal curve. 
  2. The shaded area 
  3. The solution of your answer. 

Ample spaces are given for your solutions. 

  1. Queenie uses her mobile phone for X minutes each day. X is a random variable which may be modelled by  a normal distribution with mean 28 minutes and standard deviation 8 minutes. (a) Find the probability that  on a particular day Queenie uses her mobile phone for less than 30 minutes; (b) Calculate an interval within  which X will lie on middle 80% of days.  
  2. The time spent by students working on a project is a normal random variable with parameters  μ=12 hours and σ=4 hours. Compute the probability that (a) the amount of time spent on the 
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