The second hand in a clock is spun and the outcome α is the second where the hand comes to rest. Let Z
be the minute where the hand comes to rest. Find the pmf of Z. Find the conditional pmf of Z given
A= {first 20 minutes}; given B= {2 ≤ α ≤ 200}
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The second hand in a clock is spun and the outcome α is the second where the hand comes to rest.
CLO-2(C3)] The loose minute hand of a clock is spun hard.The coordinates (x, y) of the point where the tip of the hand comes to rest is noted. Z is the product of x and y. (a) Describe the underlying space S and specify the probabilities of its events. (b) Find the pmf of X i.e., px (x) (c) Find the mean and variance of X CLO-2(C3)] The loose minute hand of a clock is spun hard.The coordinates (x, y)...
In Problem, let A = {hand rests in last 10 minutes} and B = {hand rests in last 5 minutes}. Find P[B|A] for parts a, b, and c.ProblemConsider Problem where the minute hand in a clock is spun. Suppose that we now note the minute at which the hand comes to rest.(a) Suppose that the minute hand is very loose so the hand is equally likely to come to rest anywhere in the clock. What are the probabilities of the...
The loose minute hand of a clock is spun hard. The coordinates (x,y) of the point where the tip of the hand comes to rest is noted. Z is defined as the sgn function ofthe product of x and y, where sgn(t) is 1 if t>0, 0 if t=0 and -1 if t<0a) Find and plot the cdf of the random variable X.b) Does the cdf change if the clock hand has a propensity to stop at 3,6,9 and 12...
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Please help! Thanks 9. (i) Show that (x-x)2 = Lx2- ni2, where x. The times, to the nearest minute, taken by 60 studen ts to do their statistics homework are given by the following frequency distribution. 5 14 25-34 15 24 35 44 45 54 55-64 Time, x (mins) Frequency, f 7 19 17 7 a) Determine, to the nearest minute, the mean and standard deviation of the distribution. b) Estimate the median of the distribution A second sample of...
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