Find conditional probability that the person has glaucoma

Assignment Help Mathematics

Reference no: EM13204361

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?

Reference no: EM13204361

Questions Cloud

Find the quadratic model plugging the data into model : The data points given are just like x and y values, where the x value is the time t in seconds and the y value is the altitude h in feet. Plug these into the model and you will get equations with a, b and c.

Explain basic rental a better deal than that for roadrunners : roadrunners charges $20 per day plus $0.50 per mile to rent the same truck how many miles must be driven in a day to make the rental cost for basic rental a better deal than that for roadrunners

Find fixed-interest mutual fund paying annual interest : quarter in a fixed-interest mutual fund paying annual interest of 7% compounded quarterly. How much will her account have in it at the end of 12 years

State take the same car to stop when traveling : If a car traveling 70 miles per hour can stop in 270 ft, how many feet will it take the same car to stop when traveling at 90 miles per hour?

Find conditional probability that the person has glaucoma : Determine the conditional probability that the person has glaucoma given thatX=x.

Evaluate the projected population at the beginning : Estimate the projected population at the beginning of the year 2010.

Compute probability it will be defective : Because of defects the manufacturer has to replace 10% of its model I and 18% of its model II. If a model is selected at random find probability it will be defective.

The ladder leans against a building that has a wall slanting : a ladder leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. if the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall,

Find the price p in the cournot equilibrium : Find the price P in the Cournot equilibrium ( assume that ci ' s are such that all firms produce a positive amount and that the second order conditions are satisfied). If all firms have the same marginal cost ci=c, what is the price when n=1 and w..

User Account

All Pages