In one town in British Columbia,only 27% of days are sunny.A company's records indicate that on sunny days 1.8% of employees will call in sick.When it is not sunny,1.0% of employees will call in sick.Is calling in sick independent of sunshine? Explain.
A) Yes,the probability of an employee's calling in sick does not depend on whether it is sunny.
B) No,it is possible for both things to happen. P(sunny and employee calls in sick) = (0.27) ∙ (0.018) .This is greater than zero.
C) No,the percentage calling in sick depends on whether it is sunny. When it is sunny,1.8% call in sick.When it is not sunny,1.0% call in sick
D) No, P(sunny and employee calls in sick) = (0.27) ∙ (0.018) .= 0.00486;
P(not sunny and employee calls in sick) = (0.73) ∙ (0.01) .= 0.0073.
These are not equal
E) Yes,because P(sunny and employee calls in sick) = P(sunny) ∙ P(employee calls in sick) .
Correct Answer:
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