statistic help

(a) Through the circle of radius 2 centered at the origin, draw a vertical line at x=0.5. What fraction of the circle's area lies to the right of the line?

(b) The points closer to the center are contained in a circle of radius 1. What's the ratio of the area of the smaller circle to the area of the larger circle?

Compare areas.

The probability of a point (x,y) is within the circle of radius 2 with a center at the origin is a certainty.

If x>.5, find the area of the circle segment where x>.5--use markr's recommendation draw a line at x=.5 and find the area of the circle segment above that line. The probability of this condition is the is the ratio of this segment and the area described circle.

Second part would be to find the diameter of a circle that has half the area of the described circle with radius of 2.

Rap

Not so on part (b). The dividing "line" is a circle of radius 1. He needs the probability of landing in the smaller circle.

Correct I misunderstood.

P(E)< the ratio of the areas of two circles with radius 1 and 2.