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Suppose that 10% of the people in a certain population have the eye disease glaucoma. For persons who have glaucoma, measurements of eye pressure X will be normally distributed with a mean of 25 and a variance of 1. For persons who do not have glaucoma, the pressure X will be normally distributed with a mean of 20 and a variance of 1. Suppose that a person is selected at random from the population and her eye pressure is measured.
a) Determine the conditional probability that the person has glaucoma given thatX=x.
b) For what values of x is the conditional probability in part (a) greater than 1/2?
A survey dating back to the 1990's suggested that Americans anticipated a reduction in living standards and that a steadily increasing consumption no longer might be as important as it was in the past. (Were they right?) Suppose that a poll of 2000 people indicated 1373 in favor of forcing a reduction in the size of American automobiles by legislative means. Would you expect to observe as many as 1373 in favor of this proposition if, in fact, the general public was split 50-50 on the issue?
Exactly one of the three contestants will win a game show. The probability that Terry wins 0.25 and the probability that Chris wins is 0.65. What is the probability that Toni wins?
Rank the data from lowest to highest and determine the requested quartile. The following scores on the midterm exam in Chemistry 102 were recorded. 93 81 59 69 82 73 61 77 95 84 88 71 85 97 63 72 89 80 98 91 62 78 83 76 81 94 66 83 96. Find the ls..
Which of these best represents how much the manager will save on milkeach day if she buys the milk in 1-gallon containers?
Find the probability of an alarm.
Find out how many bacteria there will be at time t in the gremlin's bacteria dish (dn/dt = 3n; t=0 when n=10; t is measured in hours.) How many bacteria will there be after 5 hours?
A steep mountain is inclined 79 degree to the horizontal and rises 3100 ft above the surrounding plain. A cable car is to be installed from a point 900 ft from the base to the top of the mountain. Find the shortest length of cable needed.
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
Region C sold 20% more than Region B. In the second quarter, sales increased by 15% for Region B, and Region A had 1.5 times as many sales as Region B. What were Region A's sales in the second quarter?
How many trees are there in the world? The course I am doing is discrete mathematics.
Give a recursive algorithm for computing n * a using only addition, where n is a positive integer and a is a real number. (add a to itself n times).
the sum of two integers is 12. THE DIFFERENCE BETWEEN both reciprocal is 2/9. determine the two integers.
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students x=px,0=4/27,1=1/27, 2=5/9, 3=?, 4=5/2
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