Please help me to do the short answer.

AP Statistics Review: Chapter 5 20. Amos is an archer who hits the target 60% of the time. He shoots three arrows at a target. Using a tree diagram, what is the probability that he (a) hits the target each time? b) never hits the target? (c) hits the target at least once? (d) hits the target exactly at twice? (e) hits the target three times, given you are told he hit the target at least 2 times? 21. Find the requested probability under each scenario (a) P(A) = 0.4 P(B) = 0.5 P(A U B) = 0.7 P(A|B) = (b) P(A) = 0.3 P(B) = 0.6 A & B are independent P(A U B) = (c) P(A) = 0.4 P(A|B) = 0.5 P(A UB) = 0.7 P(B) = 22. The two-way table below describes the members of the U.S. Senate in a recent year. Suppose we select a senator at random. Consider event D: is a democrat and F: is female. Male Female Democrat 47 13 Republican 36 a. Represent the information in a Venn Diagram. b. Find P(D F). c. Find P(FDC). d. Find P( F DC). e. Are Dand F independent? Justify the answer.AP Statistics Review: Chapter 5 Part II: Free Response 16. In the 2008 election in New Hampshire, 55% of all voters were female. Of those females, 35% were democrats, 35% were republicans, and 30% were independent. Of the males, 30% were democrats, 45% were republicans, and 25% were independent. Find the probability that a voter chosen at random: a. Is female. b. Is a male republican. c. Is male given that the voter is democrat. d. Are being male and being republican independent events? 17. One thousand students at a city high school were classified both according to GPA and whether or not they consistently skipped classes. GPA 3.0 Total Many skipped classes 80 25 110 Few skipped classes 175 450 265 890 Total 255 475 270 1000 a. What is the probability that a student has a GPA between 2.0 and 3.0? b. What is the probability that a student has a GPA under 2.0 and has skipped many classes? C. What is the probability that a student has a GPA under 2.0 or has skipped many classes? What is the probability that a student has a GPA under 2.0 given that he has skipped many classes? . Are "GPA between 2.0 and 3.0" and "skipped many classes" independent events? 18. About 10% of all U.S. adults are left-handed. To simulate randomly selecting one adult at a time until you find a left-handed adult, use two digits. Let 01 to 10 represent being left-handed and 11 to 00 represent being right-handed. Move across a row in Table D, two digits at a time, skipping numbers that have already appeared, until you find a number between 01 and 10. Record the number of people selected. Explain any issues with this simulation. 19. Researchers recruited 20 volunteers - 8 men and 12 women - to take part in an experiment. They randomly assigned the subjects into two groups of 10 people each. To their surprise, 6 of the 8 men were randomly assigned to the same group. Should they be surprised? Design and carry out a simulation to estimate the probability that the random assignment puts 6 or more men in the same group. (To save time, you only need to conduct one trial)