The doctor recommends rest if the patient has the flu. The doctor recommends rest.

1 answer:

7 0

<span>Illnesses ▬▬▬> Flu Other Illnesses Other Illnesses
\ (requiring (not requiring
\ rest) rest)
\ / |
\ / |
\ / |
Remedy ▬▬▬▬▬▬> Rest Other Remedies

- If the doctor recommends rest, the patient has the flu. ... FALSE

- The patient has the flu. ... (same thing) ... FALSE

- The patient does not have the flu. ... FALSE

No conclusions can be drawn.</span><span>
</span>

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Please helpppp it has to do with P(A U B)

Katyanochek1 [597]

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We find the probability of intersection using the inclusion/exclusion principle:

$P(A\cap B)=P(A)+P(B)-P(A\cup B)=0.3$

By definition of conditional probability,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.3}{0.6}=0.5$

For $A$ and $B$ to be independent, we must have

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in which case we have $0.3=0.5\cdot0.6$ , which is true, so $A$ and $B$ are indeed independent.

Or, to establish independence another way, in terms of conditional probability, we must have

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which is also true.

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