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Question: Roulette An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00, as shown in the figure. Of the numbered slots, 18 are red, 18 are black, and 2-the 0 and 00-are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball is equally likely to settle in any of the numbered slots. Imagine spinning a fair wheel once. Define events B: ball lands in a black slot, and E: ball lands in an even-numbered slot. (Treat 0 and 00 as even numbers.)
(a) Make a two-way table that displays the sample space in terms of events B and E.
(b) Find P(B) and P(E).
(c) Describe the event "B and E" in words. Then find P(B and E).
(d) Explain why P(B or E) ≠ P(B) + P(E). Then use the general addition rule to compute P(B or E).
From a random sample of 48 days in a recent year, U.S. gasoline prices had a mean of $2.34 (wow - that's old data!) and a standard deviation of $0.32. Construct the 90% and 95% confidence intervals for the population mean.
(a) Determine the phase margin of the system when K = 0.16. (b) Use the phase margin to estimate ζ and predict the overshoot, (c) Calculate the actual response for this second-order system, and compare the result with the part (b) estimate.
This problem deals with an elementary aspect of a simple branching process. A population starts with one member; at time t = 1.
the toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere a under
The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected
Homeowners and businesses pay taxes on the assessed value of their property. As a result, property taxes can be a problem for elderly homeowners.
According to thedata, the mean quantitative score on a standardized test for female college-bound high school seniors was 500500. The scores are approximately Normally distributed with a population standard deviation of 100100.
In a recent national survey, the mean weekly allowance for a nine-year-old child from his/her parents was reported to be $3.65. A random sample of 45 nine-year-olds in northwestern Ohio revealed the mean allowance to be $3.69 with a standard devia..
The probability of being in a car accident when driving more than 10 miles over the speed limit in a residential neighborhood is 0.04.
Of 260 females, 224 answered yes. Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random:
What specific problems arise if you try to conclude that the training program was responsible for the reduction in prejudice?
The results are n = 65 and r = 0.37. Is there statistical evidence of a linear correlation between the two variables?
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