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sergejj [24]
2 years ago
13

slader Suppose that 8% of all bicycle racers use steroids, that a bicyclist who uses steroids tests positive for steroids 96% of

the times, and that a bicyclist who does not use steroids tests positive for steroids 9% of the time. What is the probability that a randomly selected bicyclist who tests positive for steroids actually uses steroids?
Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
8 0

Answer:

P = 0.4812

Step-by-step explanation:

First, we need to use here two expressions and then do the calculations.

The first one is the conditional probability which is:

P(B|A) = P(A∩B)/P(A)   (1)

The second expression to use has relation with the Bayes's theorem which is the following:

P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d)   (2)

Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.

So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.

Then, the probabilities are the following:

P(D) = 8% or 0.08

P(C|D) = 96% or 0.96

P(C|d) = 9% or 0.09

P(d) = 1 - 0.08 = 0.92

With these data, let's replace in expression 2

P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92

P(D|C) = 0.0768 / 0.1596

P(D|C) = 0.4812 or 48.12%

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Answer:

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Step-by-step explanation:

The equation being used to express the answer is called slope-intercept form.

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The formula to find slope (m) using two points is called point slope form.

m = (y1 - y2)/(x1 - x2)

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Answer:

x = -1/5y + 3/5

Step-by-step explanation:

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2 years ago
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myrzilka [38]

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I think this is correct but I may have done something wrong

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2 years ago
In the figure above line m is parallel to line n.
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<u>Given</u>:

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From the figure, it is obvious that ∠1 and ∠2 are linear pairs.

Thus, we have;

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Substituting the measures of ∠1 and ∠2, we get;

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tensa zangetsu [6.8K]

The two bottom graphs demonstrate translations.

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We will have a translation only if:

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If you want to learn more about translations:

brainly.com/question/24850937

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