Question

11, (5pt) Suppose you are applying to graduate schools. Your chances to be admitted to each one school are 5% and are the same for any school. To how many different schools you need to apply if you want your chances to be admitted to at least one school to be above 95%.

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Answer #1

Chances of getting admitted in 1 school = 0.05

Chances of getting admitted in either of 2 schools = 0.05 + 0.05 = 0.1

Thus, Chances of getting admitted in either of n schools = n x 0.05 = 0.95

Thus, n = 19.

Thus if I want my chances to be admitted to at least one of the schools to be above 0.95, I need to apply to 19 schools

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