3 years ago

Proportionality Practice Problem

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answer:

lol

Step-by-step explanation:

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The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming.

masya89 [10]

Answer-

The correct option would be-

Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

Solution-

We know that, probability of A given that B is,

$P(A|B)=\dfrac{P(A\ \cup\ B)}{P(B)}$

From the table,

$P(\text{Recorded})=0.417\\\\P(\text{Adult}) = 1\\\\P(\text{Recorded}\ |\ \text{Adult})=0.375$

Probability that the program was recorded given that the targeted audiences were adults is,

$P(\text{Recorded}\ |\ \text{Adult})=\dfrac{P(\text{Recorded}\ \cup\ \text{Adult})}{P(\text{Adult})}$

$\dfrac{0.375}{1}=0.375=37.5\%$

Probability that the targeted audiences were adults given that the program was recorded is,

$P(\text{Adult}\ |\ \text{Recorded})=\dfrac{P(\text{Adult}\ \cup\ \text{Recorded})}{P(\text{Recorded})}$

$\dfrac{0.375}{0.417}=0.899=89.9\%$

Therefore, the first option "Given that the program was targeted at adults, there is a 37.5% chance that it was recorded." is correct

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