Suppose a poll of 1066 adults asked how to deal with an energy shortage: use mor

Question

Suppose a poll of 1066 adults asked how to deal with an energy shortage: use more production, more conservation, or both? Suppose 3 people are selected at random from this sample

More Production: 415

More Conservation: 572

Both: 55

No Opinion: 24

Total: 1066

a) What is the probability that all three responded "More conservation"?
(Round to three decimal places as needed.)
b) What is the probability that none responded "Both"?
(Round to three decimal places as needed.)
c) What assumption must be made to compute these probabilities?
A. The events are independent. B. The events occur simultaneously. C. The order of the events does not matter. D. The events are disjoint.

Explanation / Answer

a) P(more conservation) = 572 / 1066 = 0.537

n = 3

P(all three responded "More conservation") = 0.5373 = 0.154

b) P(both) = 55/1066 = 0.052

P(not both) = 1 - 0.052 = 0.948

P(none responded "Both") = 0.9483 = 0.853

c) Option-A) The events are independent.

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