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2 years ago

In a classroom of 31 students, 3 students say their favorite sport is football, 2

Mathematics

1 answer:

Gre4nikov [31]2 years ago

5 0

Answer:

a) The probability is 23/31. There are 31 total students, and 23 like soccer the best.

b) The probability is 8/31. There are 31 total students, and 31-23 = 8 don't like soccer the best.

c) The probability is 28/31. There are 31 total students, and 31-3 = 28 don't like swimming the best.

d) The probability is 2/31. There are 31 total students, and 2 like lacrosse the best.

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Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

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2 years ago

Simplify. If d = –3, evaluate –d. –3 1 0 3

AnnZ [28]

-d would equal 3. just flip its around right?

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2 years ago

Which table shows a proportional relationship and the correct amount of each ingredients

ollegr [7]

I am pretty sure that it is table one because each number from the original recipe to the teachers recipe is multiplied by three.

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3 years ago

Find the value of x. 36 21 42 18

Degger [83]

The answer for this is 42. just subtract 152 from 68 and then divide that by 2.

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3 years ago

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Ivahew [28]

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