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In: Statistics and Probability

Data collected over a long period of time showed that 1 in 1000 high school students...

Data collected over a long period of time showed that 1 in 1000 high school students like mathematics. A random sample of 30,000 high school students was surveyed. Let X be the number of students in the sample who like mathematics

a) What is the probability distribution of X?

b) What distribution can be used to approximate the distribution of X? Explain.

c) Find the approximate probability of observing a value of X equal to 40 or more?

d) Find the approximate probability of observing a value of X between 35 and 40 inclusive ?

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