Probabilities and Coincidence of Shared Birthdays Use a calculator to solve this exercise. Round probabilities to three decimal places. a. If two people are selected at random, the probability that they do not have the same birthday (day and month) is 365 365 . 364 365 . Explain why this is so. (Ignore leap years and assume 365 days in a year.) b. If three people are selected at random, find the probability that they all have different birthdays. c. If three people are selected at random, find the probability that at least two of them have the same birthday. d. If 20 people are selected at random, find the probability that at least 2 of them have the same birthday. e. Show that if 23 people are selected at random, the probability that at least 2 of them have the same birthday is greater than $$.
Probabilities and Coincidence of Shared Birthdays Use a calculator to solve this exercise. Round probabilities to three decimal places. a. If two people are selected at random, the probability that they do not have the same birthday (day and month) is 365 365 . 364 365 . Explain why this is so. (Ignore leap years and assume 365 days in a year.) b. If three people are selected at random, find the probability that they all have different birthdays. c. If three people are selected at random, find the probability that at least two of them have the same birthday. d. If 20 people are selected at random, find the probability that at least 2 of them have the same birthday. e. Show that if 23 people are selected at random, the probability that at least 2 of them have the same birthday is greater than $$.
Solution Summary: The author calculates the probability of three people selected at random having different birthdays.
a) Find the scalars p, q, r, s, k1, and k2.
b) Is there a different linearly independent eigenvector associated to either k1 or k2? If yes,find it. If no, briefly explain.
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1/ Solve the following:
1 x +
X + cos(3X)
-75
-1
2
2
(5+1) e
5² + 5 + 1
3 L
-1
1
5² (5²+1)
1
5(5-5)
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