Can my tutor please explain and answer all of the following question, please show your work

PEACE Problem 9. An inspector has a choice of 5 tests which he can perform on a manufactured part. (a) (2 points) How many ways can he select 3 tests to perform? order? (b) (2 points) How many ways can he select 3 tests to perform if they must be performed in a certain Problem 10. (2 + 4 + 1 =7 points) The number of students using the School Bus per day is found in the distribution below. Find the mean, variance, and the standard deviation for this probability distribution. X 15 25 10 12 P(X) 0.3 0.4 0.2 0.1 X P(X) X . P(X) X . P(X) Total: WORK Problem 11. (4 points) A survey found that 35% of pet owners had their pets bathed professionally rather than do it themselves. If 15 pet owners are randomly selected, find the probability that exactly 7 of them have their pets bathed professionally. 6 waLa Problem 7. Human blood is grouped into four types. The percentages of Americans with each type of blood are listed below: O 40% A B 43% 11% AB 6% Choose one American at random. Find probability that this person: (a) (1 point) has blood type A. (b) (2 points) does not have a blood type B. (c) (2 points) has blood type AB or O. Problem 5. (a) (6 points) Two balls are drawn from a bag containing 4 yellow and 6 green balls, one at the time, with replacement. Find the probability of selecting a green ball, and then a yellow ball. Problem 5.(b) (6 points) Two balls are drawn from a bag containing 4 yellow and 6 green balls, one at the time, without replacement. Find the probability of selecting a green ball, and then a yellow ball. LD