Type T (for True) or F (for False) for each statement for both Discrete and Continuous random variables.

Question 16) X cannot map the same sample point to two different numbers. Discrete: Continuous:

Question 17) The sample space (domain) must be discrete. Discrete: Continuous:

Question 18 ) The range of X is uncountably infinite. Discrete: Continuous:

Question 19) The area under the F(x) function is 1. Discrete: Continuous:

Question 20) The cdf F(x) is differentiable everywhere. Discrete: Continuous:

Question 21) There exists a point y so that the cdf F(x) = 0 for all x ? y. Discrete: Continuous:

Question 22 ) The pf/pdf f(x) is non-decreasing. Discrete: Continuous:

Question 23) The pf/pdf f(x) is differentiable everywhere. Discrete: Continuous:

Question 24) E[X2] = Var(X) + (E[X])2. Discrete: Continuous:

Question 25) A symmetric distribution has mean equal to the midpoint of the range. Discrete: Continuous:

Suppose a toy craze in Canada makes a particular Swiss-produced toy very popular. What effect would this toy have on the balance of trade? It would tend to affect Canada's balance of payments but not its balance of trade It would tend to increase Canada's balance of trade deficit. It would tend to reduce any existing balance of trade deficit in Canada. It would tend to increase Canada's balance of trade surplus. Suppose the exchange rate between British pounds and Canadian dollars is originally $1.50 per pound. If it then changes to $2 for 1 pound, what will tend to happen to the volume of imports of British goods into Canada? The volume of imports will tend to rise The volume of imports will tend to change in an indeterminate direction The volume of imports will tend to fall. O The volume of imports will tend to stay the same$ 2-204. Formation in General. (1) A contract for sale of goods may be made in any manner suf- ficient to show agreement, including conduct by both parties which recognizes the existence of such a contract. (2) An agreement sufficient to constitute a contract for sale may be found even though the moment of its making is undetermined. (3) Even though one or more terms are left open a contract for sale does not fail for indefiniteness if the parties have intended to make a contract and there is a reasonably certain basis for giving an appropriate remedy.1:04 Question 6 Not yet answered Marked out of 0.50 What is meant by the term 'quorum?' Select one: A. A 'quorum' refers to the minimum number of 'qualifying persons' required in order to validly conduct business at a O meeting. B. A 'quorum' refers to a meeting that is invalid because sufficient notice has not O been provided. C. A 'quorum' refers to the maximum number of persons who may attend a O meeting. D. A 'quorum' refers to a meeting that lacks a chairperson. O Clear my choice AVerify Property 2 of the definition of a probability density function over the given interval. 4 f(x) = 609 X [2,5] Substitute a, b, and f(x) into the left side of the formula from the previous step. 5 4 area = dx 609 2 Next, determine F(x). First, find the antiderivative of f. 3 609 dx = (Use C as the arbitrary constant.) Let C = 0 in the expression obtained above and let the resulting expression be F(x). Evaluate the result over [2,5] using the far right side of the formula for the area. area = area 1 Simplify