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Stat1000W12_A3 - STAT 1000 Assignment 3 DUE February...

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STAT 1000 Assignment 3 DUE: February 29th (Wed. Eve. Section), March 1st (T/Th. Sections), March 2nd (MWF. Sections) SHOW ALL YOUR WORK 1. [4] A variable X has a distribution which is described by the density curve shown below: (a) What proportion of observations of X are less than 5? (b) What proportion of observations are between 2 and 4? 2. [2] A random variable X has a triangular distribution on the interval 5 to 10. What must the height be in order for this to be a true density curve? 3. [1] A telemarketing firm in a certain city uses a device that dials residential telephone numbers in that city at random. Of the first 100 numbers dialed, 51% are unlisted. This is not surprising because 48% of all residential phone numbers in this city are unlisted. Explain whether the percentages in bold are either a statistic or parameter.
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4. [11] Let Z follow a standard normal distribution, find the following proportions: (a) P ( Z < 0 . 50) (b) P ( Z > - 1 . 25) (c) P ( Z > 2 . 69) (d) P ( Z < - 3 . 01) (e) P ( Z = 2 . 18) (f) P ( - 2 . 78 < Z < 1 . 47) (g) P (0 . 03 < Z < 0 . 78) Find b such that: (h) P ( - b < Z < b ) = 0.9398 (i) P ( - b < Z < 2 . 26) = 0.9322 5. [2]
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