3. Suppose that 40% of students in a certain primary school are boys, and 10 students were...

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3. Suppose that 40% of students in a certain primary school are boys, and 10 students were involved in a survey at random. Answer the following questions:

(a) What is the distribution of the number of boys in the survey? What are the parameters that determine its distribution?

(b) What is the probability that there are 3 boys in the survey?

(c) What is the probability that more than half of the students are boys?

(d) If 100 students are randomly investigated, what are the results of (c)?

(e) What are the approximate values of

(d) using the normal approximation method?

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