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Simulate 200 coin-flip experiments with success parameter p = 1/4, and compute the average number of successes ^p, together with an approximate 95% conβdence interval
where zq is the q-th quantile of a standard normal variate. Repeat the experiment 104 times, and plot the approximate conβdence intervals for each experiment, together with a line showing the true success parameter. Calculate the proportion of the 104 repeated experiments that contain the true success parameter, and comment. Supply your code.
According to the American Cancer Society, one in twelve women will develop breast cancer at some time in her life. Of the numbers mentioned, which are parameters?
How fast is the length of her shadow increasing?
Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
q. the carleton computer science society has a board of directors consisting of one president one vice-president one
A cup of coffee at 173 degrees is poured into a mug and left in a room at 65 degrees. After 4 minutes, the coffee is 142 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) .
Based on P(students identifying Picasso painting) from part (a), predict how many of the 300 students would be able to identify a painting by Picasso before the field trip?
A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.
a truck leaves a city traveling at a speed of 72.5 kmhr and a car leaves the same city 1.25 hr later to overtake the
assuming drivers are independent if 5 of the drivers fail to stop at a red light find the probability that at least 2
How much should he invest in each to maximize his return? Assume the investment returns are as expected.
A baseball diamond is a square with side 90ft. A batter hits the ball and runs toward first base with a speed of 24ft/s. At what rate is her distance from second base decreasing when she is halfway to first base?
A cyclist travels 105 miles in 7 hours going against the wind. He travels 147 with the wind in the same amount of time. What is the rate of the cyclist in still air and what is the rate of the wind?
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