Name______________________________________Probability Project #3Due: Feb 7, 20141. Sam is tossing a pentagonal solid or five sided solid. The faces are numbered 1 to 5. He tosses it twice. List the sample space for this experiment.(1 point)2. You plan to have four children and the gender of each child is equally likely to be a male as a female.a. Construct a tree diagram for this situation. (2 points) b. Determine the probability that your family has ( 3 points)- Four girls- exactly one son- At least one son3. Find the probability of drawing 3 jacks in a rowa. if the card is replaced after each draw. (1 point)b. if no cards are replaced in the deck after each draw. (1 point) 4. A biased coin is tossed 3 times. P (H) = .7 Construct a tree diagram to represent this situation. (2 points)5. Us the tree diagram above, and determine the probability of tossing ( 4 points) a. exactly 2 headsb. Three headsc. 2 or 3 headsc. at least one tail5. Construct a Venn diagram to represent this situation: There is a 0.35 probability that John will purchase a new care, a 0.65 probability that Mary will purchase a new car, and a .20 probability that they both will purchase a new car. (1 point)6. Use the Venn diagram in #5 and determine the probability that (3 points)a. John or Mary will purchase a new carb. neither John nor Mary will purchase a new car c. John will purchase a new car, if Mary purchases one. (or given Mary has purchased a new car)7. Use the binomial formula and show your work. Be sure to list the binomial coefficient for full credit. Find the chance that Sam will have exactly 7 questions correct on a 10 point True/False test, if he plans to guess at the answers since he has not studied and did not attend class. (2
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