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2 years ago

Somebody please help me with the question

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

3 0

50 is the answer.
We know that 60% is equal to 0.60. We don’t need to write the extra 0 in the end, so we can just write 0.6
. So, the question is saying that 30 is 0.6 of the total number of marbles. This means that 30 is 0.6 times the total number of marbles.
To write this in equation form, I will use x to represent the total number of marbles:
30=0.6x
Now, we need to solve for x.
On one side of the equation we have only x, and in the other side we only have a number.
So, to solve it, we need to divide both sides of the equation by the coefficient on x, which is 0.6.
30/0.6 = 0.6/0.6x
Solve:
30/0.6 = x
x = 50
The answer is 50.

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Answer:

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b. $P(E_2/A)=0.395$ \

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Step-by-step explanation:

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a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem, $P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}$

We have to find $P(E_1/A)$

Using the Bayes theorem

$P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}$

Substitute the values then we get

$P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}$

$P(E_1/A)=0.0789$

b.We have to find the probability Mr.Brophy is a medium driver

$P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395$

c.We have to find the probability Mr.Brophy is a poor driver

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