Biology Statistics.

Amy is taking a statistics class and a biology class. Suppose her probabilities of getting a grade of A+ in statistics course is 0.35, grade of A+ in biology is 0.20 and grade of A+ in both statistics and in biology is 0.10. Find the probability that Amy will get at least one A+ between her statistics and biology classes

One thousand sheets of aluminum alloy produced by the same manufacturer were examined for surface flaws. Assume surface flaws occur randomly and independently at a constant rate with an average of 4 flaws per sheet. Sheets are all the same size. a) [3 points] What is the probability that a randomly chosen sheet contains more than 1 surface flaw? b) [3 points] When 10 sheets are picked at random, what is the probability that 6 of these sheets have more than 1 surface flaw on them? c) [4 points] Given that a sheet has more than 1 surface flaw on it, find the probability that it has exactly 10 surface flaws.3. Suppose students have a 0.8 probability of getting an A in Statistics and a 0.9 probability of getting an A in Linear Algebra. If the probability of getting an A in Statistics or an A in Linear Algebra is 1, find the probability that a student gets an A in Statistics and gets an A in Linear Algebra. b) If the probability of getting an A in Statistics and an A in Linear Algebra is 0.76, find the probability that a student does not get an A in Statistics or in Linear Algebra. c) Find the smallest upper bound probability that a student does not get an A in either Statistics or Linear Algebra, (Hint: [Ise Booles' inequality to get an unner hound. )