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Heights of grade 3 students closely follow a normal distribution with mean 55 inches and standard deviation equal to the last digit of your your student number + 6 inches. For e.g., if your student ID is 7654321 then standard deviation is 1 + 6 = 7. (can you show the following answers for this example of the student id number 7654321 please)
a. What fraction of students are taller than 76 inches?
b. If there are 2,000 students, then compute the expected number of students who are at least 76 inches tall. Assume the heights are independent.
c. Using the binomial distribution, compute the probability that x of the 2000 students be at least 76 inches tall where x is mod 5 of your student ID. For e.g., if your ID is 7654321 then x = MOD (7654321, 5) = 1
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