3. The following probability distribution is for the random variable X = the number 0f (1095 per household in Jackson, Michian. \"uni-n:- a) Explain what must be true in order for this to be a valid probability model. In parts b through d, ONE Jackson household is randomly chosen. b) What is the probability that the household has an odd number of dogs? (3 dec. places) c) To calculate part b), we must presume that values for \"number of dogs" are: (Circle one) Disjoint Not Disjoint Independent Dependent d) What is the probability that the household does NOT have "4 dogs"? (3 dec. places) In parts e through h, TWO Jackson households are randomly selected. e) What is the probability that the rst household has \"2 dogs\" and the second household has \"4 dogs\"? (4 dec. places) f) To calculate part e, we must presume the selected households are: (Circle one) Disjoint Not Disjoint Independent Dependent g) What is the probability that both households have exactly "1 dog\"? (4 dec. places) h) What is the probability that at least one household has \"3 dogs"? (4 dec. places) MAT 133: Ch. 5 Review W5 1 p.2 2. The table shows the numbers (in thousands) of earned degrees by level in two different elds, conferred in the U.S. in a recent ear. A person who earned a degree in the year is randomly selected. Find the probability of selecting someone who: (Give 3 decimal places for all answers) a) Earned a degree in Natural Science b) Earned a Bachelor's degree or a Master's degree c) Earned a Doctoral degree and the degree is in Natural Science d) Earned a Master's degree or the degree is in Computer Science. e) Did not earn a Bachelor's degree f) Would any of the events a) through e) be considered unusual? Explain. Ch 5 Review Worksheet #1 1. A probability experiment involves first rolling a fair die and recording whether the result is even or odd {E, O}. Then you draw a random card from a standard poker deck and record its suit {heart, spade, diamond, club} by using H, S, D, or C. a) Create a tree diagram to show all possible outcomes for this experiment, and also list the sample space b) Explain what "P(OC)" means in English with context (i.e., translate it). c) Compute the value of P(OC). d) Compute the probability of getting an even die roll and then drawing a red card