Thirteen cards numbered 1,...,13 are shuffled and dealt one at a time. Say a match occurs on deal k if the kth card revealed is card number k. Let N be the total number of matches that occur in the thirteen cards. Determine E[N].

E[N] = 1

Step-by-step explanation:

Here is the hint we are given on this problem - " Write N = + + · · · + where is the event that a match occurs on deal k. "

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Now the standard thing is to do is let = 1, if there is a match on the -th pick and 0 otherwise. The number of matches is given to be + . . . + . Knowing that, we can use the linearity of expectation -

There are 13 cards and for -th pick, the probability of having a card with number is 1 / 13. Therefore, E[N] = E[ + . . . + ] = 1

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Solution: E[N] = 1

not me

step-by-step explanation:

i wish i did i would like to get a desert ghost ball python

it's 100

step-by-step explanation:

22, 28, 34, 40, 46

b)   f(n) = 6n + 16

  n = what is the number of the row ( 22 would be row 1) so if we replaced n with 1, we would get 22

c)   the  14th  row will have 100 seats

(1)   (2)   (3)   (4)   (5)   (6)   (7)   (8)   (9)   (10) (11) (12) (13) (14)

22 | 28 | 34 | 40 | 46 | 52 | 58 | 64 | 70 | 76 | 82 | 88 | 94 | 100

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