Find the expected value.A new light bulb has been found to have a 0.02 probability of being defective. A shop owner receives 500 bulbs of this kind. How many of these bulbs are expected to be defective?
A. 20
B. 100
C. 10
D. 500
Answer: C
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Find the requested probability.If P(A ? B) = 0.64, P(A) = 0.31, and P(B) = 0.49, find P(A ? B).
A. 0.57 B. 0.28 C. 0.16 D. 0.12
Decide whether or not the given equation is an identity.sin y tan y + cos y = sec y
A. Yes B. No
Subtract.14 - 0 - (-17) - 10 + (-16)
A. 25 B. 23 C. 5 D. -9
Solve the problem.After retirement, Kelly's company offers her two options for receiving her retirement pension. According the the first plan, she will receive monthly payments from a variable annuity that initially pays 
per month then decreases each month at a rate of 
per month per year. Optionally, she may choose a plan that pays her a fixed amount of 
per month for the rest of her life. The monthly payments for the two plans are illustrated in the graph
below. After how many years does the variable plan pay less per month than the fixed plan?
A. 9 years
B. 8 years
C. Up to 8 years
D. The variable plan always pays less.