In One Town in British Columbia,only 27% of Days Are

question 27

Multiple Choice

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).

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Definitions:

Cam Displacement Diagram

Cam Displacement Diagram illustrates the movement (displacement) profile of a cam follower over one complete cycle, facilitating the design and analysis of cam mechanisms.

Cam

A mechanical component that transforms rotational motion into linear motion, or vice versa, often used in engines and various machines to drive or control motion.

Radial Cam

A cam in which the follower moves radially relative to the cam center, translating rotational motion into linear motion.

Cylindrical Cam

A rotating cylinder used in machinery to convert rotational movement into linear movement of a follower.