Consider a collection of n individuals. . Assume that each person’s birthday is equally likely to be any of the 365 days of the
year and also that the birthdays are independent. For i < j, let Ai,j denote the event that persons i and j have the same birthday, and let X be the number of pairs of people whose birthdays are the same, i.e., the number of Ai,j that occur.(b) Compute E[X], and find the smallest value of n for which E[X] > 1. Describe in words what this means. (A sentence or two is fine.)
1 answer:
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<h3>Answer: Venn Diagram is below</h3>
The rectangle represents the universal set (marked as "set U"). Everything is contained in this rectangle.
Circle A represents set A = {a, b, e, f, h, j}
Circle B represents set B = {b, c, d, f, j}
The common elements between the two sets are {b, f, j}, so we'll write these three values in the overlapping portion of the two circles.
The items {a,e,h} will go in circle A, but not in the overlapping portion since they are found only in set A.
Similarly we'll have {c,d} go in circle B but not in the overlapping portion since these items are only found in set B.
The remaining terms {g, i, k} go outside both circles, but inside the rectangle, because neither of these elements are in set A or set B.
Answer:
fraction negative 4 over 5 is to the left of −0.4 and to the left of 0
Step-by-step explanation:
-4/5
-0.4 = -4/10 = -2/5
