SOLUTION: A study shows that 84​% of the population of all calculus students consider calculus an exciting subject. Suppose 28 students are randomly and independently selected from the

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Question 1043656: A study shows that 84​% of the population of all calculus students consider calculus an exciting subject. Suppose 28 students are randomly and independently selected from the population. If the true percentage is really 84​%, find the probability of observing 27 or more of the students who consider calculus to be an exciting subject in the sample of 28. Round to six decimal places.
Answer by Boreal(15235) About Me  (Show Source):
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The probability is two parts: the probability that all 28 will find it exciting, and that is 0.84^28=0.007583.
The probability that 27 will is 28C27(0.84)^27*0.16^1=28*0.001, and rounded at end is 0.040441
The probability is 0.048023