Question 16 NM yet answered Marked out of 2.00 V Flag question This is a good exercise to practice calculating joint probabilities and covariance or calculating independence, to show understand of what independence and correlation means. In life we usually express ourselves with words, We use tables and formulas to model mathematically the problem in order to find an answer to our questions, Review Lecture 20, 21, 22 and Chapter 6 in the book if you are having trouble understanding this question. Exercise. Two species, A and B, affected by the same environmental factors, are being studied to see if there is association between them. The species live in fruits. The random variable X measures the number of species A per fruit, and the random variable Y measures the number of species B per fruit. The joint probability mass function P(X,Y) is given by the following table. 0.1 0.1 0.1 0.02 0.02 0.03 The probability that the number of species B is larger than the number of species A in a fruit is Choose... We can 001 0'01 say without \\I Choose... doubt \"'3 the number of species A is (albeit very slightly) related to the number of species B in the flower found by adding the probability of the event {(0,1), (O,2),(1,2)} where the first number in a pair is the number of species A and the second number Question 17 NM ya: Suppose that 15% of the families in a certain community have no car, 20% have 1 car, 35% have 2, and 30% have 3. Suppose, further, that in each family, each car is equally likely (independently) to be a foreign or a \"swam, domestic car. Let F be the number of foreign cars and D the number of domestic cars in a family. Marked out of The random variable denoting the number of cars in a family and the random variable denoting the number of foreign cars are 1.00 V Flag question Select one: C) a. mutually exclusive so one has to use the union rule for mutually exclusive events to calculate the joint probability that F=1 and D=1. O b' independent, so one has to use the product rule for independent events to calculate the joint probability that F=1 and D=1 O 9' dependent, so one has to use the general product rule to calculate the joint probability that F=1 and D=1 0 d' partitioned, so one has to use Axiom 3 to calculate the joint probability that F=1 and D=1 - Question 18 Not yet Consider the following joint probability mass function of X and Y. answered x ly 0 2 W Marked out of 0 1.00 1/8 2/8 1/8 0 Flag 1/8 2/8 1/8 question The E(XY) is O a. 0.5 O b. 0.007 O c. 1 O d. 0.11 Previous page Next pag