Answer Happy

In 2017, SAT Math scores were Normally distributed with mean of
520 and standard deviation of 93. For admission to Massachusetts
Institute of Technology (MIT), one criterion is an extremely high
SAT Math score of at least 760.
a) A student admitted to MIT in 2017 had a SAT Math Score
of 775. Among all students who took the SAT, what is the
probability of having a Math Score greater
than 775?
P(X > 775) = (use 5 decimal places)

b) Among all students who took the SAT, what is the probability of
having a Math Score less than 788?
P(X < 788) = (use 5 decimal places)

c) Among all students who took the SAT, what is the probability of
having a Math
Score between 770 and 782?

P(770 < X < 782) = (use 5 decimal
places)