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Bond [772]
2 years ago
14

(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of

the number of carp among those 20
Mathematics
1 answer:
marta [7]2 years ago
5 0

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

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Answer:

(-7,-4)

Step-by-step explanation:

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3 0
2 years ago
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A teacher takes a random sample of 100 students enrolled at Springfield High School and asks them their opinions about the food
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The answer is C. All students enrolled at Springfield high school.

8 0
3 years ago
Can someone help me Please
alisha [4.7K]
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3 years ago
Some numbers are 1/4 as large as another number. the difference of a number is 12.
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Answer:

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3 years ago
The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate
ella [17]

Interest paid after 30 years is $494,546.99.

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Compound interest formula:

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Interest paid after 30 years is $494,546.99.

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