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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Answer:
look at the photo
Step-by-step explanation:
Since the inequality is already written in y=mx+b, you can easily graph the line. +3 is the y intercept, so one point would be (0,3). -2 resembles the slope, so diagonally to the left, you would go up 2 and across 1. Also, since the sign is "<" you would graph with a dotted line. Then to know which side to shade, I always use the coordinate (0,0). I plug in 0 for both x and y to see if (0,0) satisfies the inequality. In this case it does, so you would shade on the side where (0,0) is located.
