I actually have two questions.
1. Suppose that two different tests A and B are to be given to a student chosen at random from a certain population. Suppose also that the mean score on test A is 85, and the standard deviation is 10; the mean score on test B is 90, and the standard deviation is 16; the scores on the two tests have a bivariate normal distribution; and the correlation of the two scores is 0.8.
a.) If the student scores an 80 on test A, what is the probability that her score on test B will be higher than 90?
b.) If a student is chosen at random what is the probability that the sum of her two scores from both tests will be greater than 200?
2. Suppose that three girls, A,B,and C throw snowballs at a target. Suppose Girl A throws 10 times and the probability she hits the target on any given throw is 0.3. Girl B throws 15 times, with a prob. of success = 0.2. And girl C throws 20 times, with a probability of success equal to 0.1. Determine the probability that the target will get hit at least 12 times.
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