PROBLEM VI The time taken, T seconds, to open a graphics programme on a computer is normally distributed with mean 20 and standard deviation σ. Given that P(T> 13/7 <27) = 0.8, find the value of: (a) the standard deviation, o (b) the value of k for which P(T> k) = 0.75.

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PROBLEM VI
The time taken, T seconds, to open a graphics programme on a computer is normally distributed with mean
20 and standard deviation σ.
Given that P(T> 13/7 <27) = 0.8, find the value of:
(a) the standard deviation, o
(b) the value of k for which P(T> k) = 0.75.
Transcribed Image Text:PROBLEM VI The time taken, T seconds, to open a graphics programme on a computer is normally distributed with mean 20 and standard deviation σ. Given that P(T> 13/7 <27) = 0.8, find the value of: (a) the standard deviation, o (b) the value of k for which P(T> k) = 0.75.
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