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show all the work please
(10 points) The peak temperature T , in degrees Fahrenheit, on a July day in Antarctica is a
Gaussian random variable with a variance of 225 . With probability 1/2 , T exceeds 10 degrees.
(a) (4 pts) What is the expected value of T ? (b) (2 pts) What is P [ T > 32 ] ? (c) ( 2 pts) What is
P [ T < 0 ] ? (d) (2 pts) What is P [ T > 60 ] ?

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