Suppose that p is the probability that a randomly selected person is left-handed. The value 1 − p is the probability that the person is not left-handed. in a sample of 100 people, the function V p = 100 p 1 − p represents the variance of the number of left-handed people in a group of 100. a. What value of p maximizes the variance? b. What is the maximum variance?
Suppose that p is the probability that a randomly selected person is left-handed. The value 1 − p is the probability that the person is not left-handed. in a sample of 100 people, the function V p = 100 p 1 − p represents the variance of the number of left-handed people in a group of 100. a. What value of p maximizes the variance? b. What is the maximum variance?
Solution Summary: The author calculates the value of p (the probability that a randomly-selected person is left-handed) that maximizes its variance.
Suppose that p is the probability that a randomly selected person is left-handed. The value
1
−
p
is the probability that the person is not left-handed. in a sample of 100 people, the function
V
p
=
100
p
1
−
p
represents the variance of the number of left-handed people in a group of 100.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
College Algebra with Modeling & Visualization (5th Edition)
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Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY