Solve y=(x-1)^ +4

Lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. a bank conducts inter

Otrada [13]

Part A:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector correctly determined that a selected person is saying the truth has a probability of 0.85
Thus p = 0.85

Thus, the probability that the lie detector will conclude that all 15 are telling the truth if all 15 applicants tell the truth is given by:

 $P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(15)={ ^{15}C_{15}(0.85)^{15}(0.15)^0} \\ \\ =1\times0.0874\times1=0.0874$


Part B:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.25
Thus p = 0.15

Thus, the probability that the lie detector will conclude that at least 1 is lying if all 15 applicants tell the truth is given by:

$P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(X\geq1)=1-P(0) \\ \\ =1-{ ^{15}C_0(0.15)^0(0.85)^{15}} \\ \\ =1-1\times1\times0.0874=1-0.0874 \\ \\ =0.9126$

Part C:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The mean is given by:

$\mu=npq \\ \\ =15\times0.15\times0.85 \\ \\ =1.9125$

Part D:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The probability that the number of truthful applicants classified as liars is greater than the mean is given by:

 $P(X\ \textgreater \ \mu)=P(X\ \textgreater \ 1.9125) \\ \\ 1-[P(0)+P(1)]$

 $P(1)={ ^{15}C_1(0.15)^1(0.85)^{14}} \\ \\ =15\times0.15\times0.1028=0.2312$

8 0

3 years ago

The measure of angle θ is 7pi/4 . The measure of its reference angle is *Blank* °, and tan θ is *blank*

sukhopar [10]

Since the measure of angle $\Theta$ is $\frac{7\Pi }{4}$

The measure of its reference angle = $\frac{7\times 180^{\circ}}{4}$

= $=315^{\circ}$

Now we have to compute the value of $\tan \Theta$

$\tan \Theta = \tan \frac{7\Pi }{4}$

$= \tan (2\Pi -\frac{\Pi }{4})$

The value of ( $(2\Pi -\frac{\Pi }{4})$ ) lies in the fourth quadrant. In fourth quadrant, the value of tan is always negative.

So, $\tan (2\Pi -\frac{\Pi }{4})$

$= -\tan (\frac{\Pi }{4})$

= -1.

5 0

3 years ago

Which sentence is the most accurate definition of an identity?

olga2289 [7]

The correct answer is:

An identity is an equation that is true for all real numbers.

Explanation:

An identity is a mathematical statement that is always true. It does not matter what numbers you substitute in for the variables, the result will be the same.

7 0

3 years ago

Read 2 more answers

If Sam invested $3,000 and he earned $300 over six months, the principal is _____.

Ann [662]

A principal is the amount of money you invested or deposited, so in this case, the principal is $3,000,
(and the net amount of money you earn is the interest, that is $300 in this one.)

4 0

3 years ago

The perimeter of the rectangle above is:

Nonamiya [84]

Step-by-step explanation:

given,

length = 4x²

breadth/width = y²

we know,

perimeter = 2l + 2b

so,

2(4x²) + 2(y²)

→ 8x² + 2y²

option A is correct

hope this answer helps you dear...take care and may u have a great day ahead!

4 0

3 years ago