X ~ Binomial ( n , p)
Where n = 12, p = 0.27
Binomial probability distribution is
P(X) = nCx px (1-p)n-x
a)
P(X = 3) = 12C3 0.273 0.739
= 0.2547
b)
P( X >= 4) = 1 - P( X <= 3)
= 1 - [ P( x = 0) + P( X = 1) + P( X = 2) + P( X = 3) ]
= 1 - 0.7096
= 0.2904
c)
P( X < 8) = 1 - p( X >= 8)
= 1 - [ P( X = 8) + P( X = 9) + P( X = 10) + P( X = 11) + P( X = 12) ]
= 1 - 0.0016
= 0.9984
17. Ease of Voting Twenty-seven percent of likely U.S. voters think that it is too easy...
39% of a certain country's voters think that it is too easy to vote in their country. You randomly select 12 likely voters. Find the probability that the number of likely voters who think that it is too easy to vote is (a) exactly three, (b) at least four, (c) less than eight.
43% of a certain country's voters think that it is too easy to vote in their country. You randomly select 12 likely voters. Find the probability that the number of likely voters who think that it is too easy to vote is (a) exactly three, (b) at least four, (c) less than eight. (a) P(3)- (Round to three decimal places as needed.)
8. Twenty-eight percent of U.S. adults think that climate scientists understand the causes of climate change very well. You randomly select 35 U.S. adults. Find the probability that the number of U.S. adults who think that climate scientists understand the causes of climate change very well is (a) exactly six. (b) between 8 and 10, inclusive. (C)less than two. D)Are any of these events unusual? Explain your reasoning.
68% of U.S. adults oppose hydraulic fracturing (fracking) as a means of increasing the production of natural gas and oil in the United States. You randomly select five U.S. adults. Find the probability that the number of U.S. adults who oppose fracking as a means of increasing the production of natural gas and oil in the United States is (a) exactly two, (b) less than four, and (c) at least three.
68% of U.S. adults oppose hydraulic fracturing (fracking) as a means of increasing the production of natural gas and oil in the United States. You randomly select five U.S. adults. Find the probability that the number of U.S. adults who oppose fracking as a means of increasing the production of natural gas and oil in the United States is (a) exactly two, (b) less than four, and (c) at least three.
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. Fifty-eight percent of U.S. adults oppose hydraulic fracturing (fracking) as a means of increasing the production of natural gas and oil in the United States. You randomly select five U.S. adults. Find the probability that the number of U.S. adults who oppose fracking as a...
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