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Cerrena [4.2K]
3 years ago
12

Suppose that 80%, percent of trees in a forest of 300 trees are infected with a virus, and we take an SRS of 5 trees to test for

the virus. What is the probability that exactly 2 of the 5 trees have the virus? You may round your answer to the nearest hundredth. P(X=2)=P(X=2)=P, left parenthesis, X, equals, 2, right parenthesis, equals
Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Answer:

0.05

Step-by-step explanation:

Given that:

Number of samples, n = 5

Proportion, p = 80% = 0.8

P(x = 2)

Using binomial distribution formula ;

P(X = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 2) = 5C2 * 0.8^2 * (1 - 0.8)^(5-2)

P(x = 2) = 5C2 * 0.8^2 * 0.2^3

P(x = 2) = 10 * 0.64 * 0.008

P(x = 2) = 0.0512

= 0.05 ( nearest hundredth)

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Step-by-step explanation:

In this problem, we have that:

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Is this answer right?
Dmitrij [34]

Answer:

  Blank 1: 64° (or 32°, depending on what the label applies to)

  Blank 2: 42

Step-by-step explanation:

It is a common mistake to believe you have solved the problem when you have found the value of the variable(s) in the problem. You have correctly found the values of n (42) and m (9). However, that is not what the problem is asking for.

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  CD = 42 . . . . units

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