Question 927102: a) It is noted that 8% of students are left handed. If 20 students are randomly selected, calculate the
i. probability that none of them are left-handed,
ii. probability that at most 2 are left-handed,
iii. mean and standard deviation for the number of left-handed students.
b) Do you agree that "if two events are mutually exclusive then these two events will be independent"? Why?
Provide one business-related example each, with explanation, for mutually exclusive and independent events.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website! p(left-handed) = .08, p (not left-handed) = .92, n = 20
P(x = 0LH) = .92^20
P(x ≤ 2LH) = binomcdf(20, .08, 2) = .7879 0r 78.79%
mean = .08(20) = 1.6 .s =  = 1.2133
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Mutually Exclusive Events cannot occur at the same time.
events are independent if the occurrence of one does not affect the other
If two events are mutually exclusive, they cannot be independent and vice versa
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Mutually Exclusive: buy or not buy
Independent Events: Male Employees: 25 years old & Female Employees: 25 years old
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