(b) (c) (d) (e)
You roll two six-sided dice. What is the probability that the sum is 6 given that one die shows a 4?
(a) (b) (c) (d) (e) Free-Response
Find μ (^) X and σ (^) X for the following discrete probability distribution:
Given that P (A) = 0.6, P (B) = 0.3, and P (B|A) = 0.5.
(a) P (A and B) = ?
(b) P (A or B) = ?(c) Are events A and B independent?- Consider a set of 9000 scores on a national test that is known to be approximately normally
distributed with a mean of 500 and a standard deviation of 90.
(a) What is the probability that a randomly selected student has a score greater than 600?
(b) How many scores are there between 450 and 600?(c) Rachel needs to be in the top 1% of the scores on this test to qualify for a scholarship. What is
the minimum score Rachel needs?
Consider a random variable μX = 3, . Find