A right triangle has the legs 3 And 4 units, respectively. Find the probability that a line segment, drawn at random parallel to the hypotenuse And contained entirely in the triangle, will divide the triangle so that the area between the line And the vertex opposite the hypotenuse will equal at least half the area of the triangle.
Answer to relevant QuestionsGiven P(A) = 0.59, P(B) = 0.30, And P(A ∩ B) = 0.21, find (a) P(A ∪ B) ; (b) P(A ∩ B') ; (c) P(A' ∪ B') ; (d) P(A' ∩ B') . Use the formula of Exercise 2.15 to convert each of the following odds to probabilities: (a) If three eggs are randomly chosen from a carton of 12 eggs of which 3 are cracked, the odds are 34 to 21 that at least one of them ...If we let x = the number of spots facing up when a pair of dice is cast, then we can use the sample space S2 of Example 2.2 to describe the outcomes of the experiment. (a) Find the probability of each outcome in S2. (b) ...A balanced die is tossed twice. If A is the event that an even number comes up on the first toss, B is the event that an even number comes up on the second toss, And C is the event that both tosses result in the same number, ...If X is the proportion of persons who will respond to one kind of mail- order solicitation, Y is the proportion of persons who will respond to another kind of mail- order solicitation, and the joint probability density of X ...
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