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3 years ago

15

Let event A= subject is telling the truth and event B=polygraph test indicates that the subject is lying. Use your own words to

translate the notation P(B|A) into a verbal statement.

1 answer:

Arada [10]3 years ago

6 0

Probability the test says the subject is lying given that they are telling the truth

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I WILL ABSOLUTELY GIVE YOU A BARNLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!! What is the surface area of the cylinder? Express the answer

Alex17521 [72]

Answer: D) 176 pi cm^2

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4 years ago

A=bh, for b (an area formula)

Katyanochek1 [597]

If you are trying to make B the subject, you have to divide both sides by 'h' because we need to get rid if 'h' to get 'b' on it's own, and you do the opposite of times - which is to divide. Once you divide both sides by h, you should end up with this:

A/h=b

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3 years ago

If a point is above the origin, it’s y coordinate must be positive or negative ?

balandron [24]

Answer:

Positive.

Step-by-step explanation:

The y coordinate is positive because on a graph, the positive part of the y-axis is above the origin while the negative part of it is below the origin.

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3 years ago

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

HACTEHA [7]

Answer:

(a) The value of P (X ≤ 2) is 0.8729.

(b) The value of P (X ≥ 5) is 0.0072.

(c) The value of P (1 ≤ X ≤ 4) is 0.7154.

(d) The probability that none of the 25 boards is defective is 0.2774.

(e) The expected value and standard deviation of <em>X</em> are 1.25 and 1.09 respectively.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number of defective boards.

The probability that a circuit board is defective is, <em>p</em> = 0.05.

The sample of boards selected is of size, <em>n</em> = 25.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

$P(X=x)={25\choose x}0.05^{x}(1-0.05)^{25-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X ≤ 2) as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

$P(X\leq =x)=\sum\limits^{2}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.2774+0.3650+0.2305\\=0.8729$

Thus, the value of P (X ≤ 2) is 0.8729.

(b)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = 1 - P (X < 5)

$=1-\sum\limits^{4}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=1-0.9928\\=0.0072$

Thus, the value of P (X ≥ 5) is 0.0072.

(c)

Compute the value of P (1 ≤ X ≤ 4) as follows:

P (1 ≤ X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

$=\sum\limits^{4}_{x=1}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.3650+0.2305+0.0930+0.0269\\=0.7154$

Thus, the value of P (1 ≤ X ≤ 4) is 0.7154.

(d)

Compute the value of P (X = 0) as follows:

$P(X=0)={25\choose 0}0.05^{0}(1-0.05)^{25-0}=1\times 1\times 0.277389=0.2774$

Thus, the probability that none of the 25 boards is defective is 0.2774.

(e)

Compute the expected value of <em>X</em> as follows:

$E(X)=np=25\times 0.05=1.25$

Compute the standard deviation of <em>X</em> as follows:

$SD(X)=\sqrt{np(1-p)}=\sqrt{25\times 0.05\times (1-0.05)}=1.09$

Thus, the expected value and standard deviation of <em>X</em> are 1.25 and 1.09 respectively.

8 0

4 years ago

What is the slope of a line that passes through -8, -16 and 18, 5?

ddd [48]

Slope formula:

y2 - y1
_____
x2 - x1

5 + 16
_____
18 + 8

21
__
26

slope is 21/26

8 0

4 years ago