I need to simplfiy the answer can someone help me with the question

Explain why P(A|D) and P(D|A) from the table below are not equal.

trasher [3.6K]

Answer:

The Probability that Event A and Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.

$P(A\cap D)=P(A)\cdot P(D/A)$

We can find the values of $P(A/D)$ and $P(D/A)$ using the above form formula.

$P(D/A)=\frac{P(A\cap D)}{P(A)}$ ;

$P(A/D)=\frac{P(D\cap A)}{P(D)}$

From the given table, we have the values of P(A), P(D), $P(D\cap A)$ and $P(A\cap D)$ .

Since, Probability= $\frac{The number of wanted outcomes }{the number of possible outcomes}$

∴ $P(A)=\frac{8}{17}$ , $P(D)=\frac{10}{17}$ , $P(A\cap D)=\frac{2}{17}$ and $P(D\cap A)=\frac{2}{17}$

Now, putting these values in above formula we get,

$P(D/A)=\frac{\frac{2}{17}} {\frac{8}{17}}$

$P(D/A)=\frac{2} {8}=\frac{1}{4}$

$P(D/A)= \frac{1}{4}$ .

$P(A/D)=\frac{\frac{2}{17}} {\frac{10}{17}}=\frac{2}{10}$

$P(A/D)=\frac{1}{5}$

As, you can see above that the values of P(A|D) and P(D|A) are not equal.

5 0

3 years ago

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The difference between 2.4 and a number is 1.61, as shown below. What number should go in the box to complete the subtraction pr

Lady bird [3.3K]

Answer:

x. = 0.79

Step-by-step explanation:

Let the unknown number be x

$2.4 - x = 1.61$

Collect like terms and simplify

$2.4 - 1.61 = x \\ 0.79 = x \\ \\ x = 0.79$

6 0

3 years ago

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William estimated 140 by placing the point on the number line which is true about his estimate

ziro4ka [17]

Answer:

Step-by-step explanation:

Step-by-step explanation:

Familiarize yourself with perfect squares in the neighborhood of 140:

10^2 = 100

11^2 = 121

12^2 = 144

Note that 140 is much closer to the perfect square than it is to the perfect square 121. The value of √140 must lie closer to 12 than to 11.

Place a point on the number line about 3/4 of the way from 11 to 12.

8 0

4 years ago

What is the square root of 9

taurus [48]

The square root of 9 is 3

3 0

3 years ago

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Please help? Graph <img src="https://tex.z-dn.net/?f=-3x%5E2%2B12y%5E2%3D84" id="TexFormula1" title="-3x^2+12y^2=84" alt="-3x^2+

mariarad [96]

$-3x^2+12y^2=84$
$12y^2=3x^2+84$
$y^2=\dfrac{x^2}4+7$
$y=\pm\sqrt{\dfrac{x^2}4+7}$

For either square root to exist, you require that $\dfrac{x^2}4+7\ge0$ . This is true for all $x$ , since $\dfrac{x^2}4$ is always non-negative. This means the domain of $y$ as a function of $x$ is all real numbers, or $x\in\mathbb R$ or $(-\infty,infty)$ .

Now, because $\dfrac{x^2}4+7$ is non-negative, and the smallest value it can take on is 7, it follows that the minimum value for the positive square root must be $\sqrt7$ , while the maximum value of the negative root must be $-\sqrt7$ . This means the range is $y\in\mathbb R\setminus(-\sqrt7,\sqrt7)$ , or $|y|\ge\sqrt7$ , or $(-\infty,-\sqrt7]\cup[\sqrt7,\infty)$ .

6 0

4 years ago