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vesna_86 [32]
3 years ago
13

Suppose there are 15 different color crayons in a box. Each time one obtains a crayon, it is equally likely to be any of the 15

types. Compute the expected # of different colors that are obtained in a set of 5 crayons. (Hint: use indicator variables and linearity of expectation)
Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer:

4.38

Step-by-step explanation:

There 15 different color crayon in a box.

We will enumerate the crayon from 1 to 15

Let Xi be the indicator random variable for the event that the ith crayon is among the set of 5 crayon.

E[Xi] = Pr(at least one type i crayon is in the set of 5)

E[Xi] = 1 - Pr(no type i crayons are in the set of 5)

= 1 - (14/15)^5

The expected number of crayon is

E(summation of Xi for the 15 crayons where i = 1) = 25(1- (14/15)^5)

= 4.38

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Step-by-step explanation:

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7 0
3 years ago
Simplify the radical expression.<br> square root of 39 (square root of 6 + 7)
Katyanochek1 [597]
The solution to the problem is as follows:

If you meant, Square root of 32: 
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
7 0
4 years ago
In a three-point shooting contest, a basketball player attempted 15 shots and made 10 of them. What fraction of his shots did th
ollegr [7]

Answer:

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4 0
4 years ago
Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).
vampirchik [111]
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6 0
4 years ago
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sergiy2304 [10]
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8 0
4 years ago
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