An image is partitioned into two regions, one white and theother black. A reading taken from a randomly chosen point in thewhite section will be normally distributed with ?=4 and ?2=4,whereas one taken from a randomly chosen point in the black regionwill have a normally distributed reading with parameters (6, 9). Apoint is randomly chosen on the image and has a reading between 4and 5. What is the probability that the point is in the blackregion? Give your answer in terms of ?.
Assume that ? = 1/4. The answer is .1720 for your reference;please make sure you are getting the correctanswer. Please show your work and explain youranswer.
