Luke Z.

asked • 03/02/20

Finite Math Question Please Answer!!

The probability that an individual is right-handed is 0.90. In a class of 25 students, find the probability that...


(Let X = number of individuals who are right-handed)


a. 22 students are right-handed


b. at most 23 students are right-handed

1 Expert Answer

By:

Robert C.

tutor
On part (b), the event that X is at most 23 is equivalent to the event that X >= 0 and X <= 23. The complement of this event is the event that 24 <= X <= 25 or simply X = 24 or X = 25. These events are mutually exclusive, thus the probability P(X = 24 or X = 25) = P(X = 24) + P(X = 25). Determine each of the two probabilities using the binomial probability formula. Then sum the two probabilities and subtract the result from 1. This should yield the answer to part (b).
Report

03/02/20

Robert C.

tutor
Note on probability of complement: Given event E, the probability of the complement of E (call it EC) is given by P(EC) = 1 - P(E).
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03/02/20

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