1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sindrei [870]
3 years ago
5

A lie-detector works correctly with 80% probability when the person is lying, and with 90% probability when the person is not. A

ssume that in a given court, typically 70% of the people who have to be tested with the lie-detector do not say the truth. On the long run, which percentage of time does the lie detector make a mistake?
Mathematics
1 answer:
muminat3 years ago
8 0

Answer:

the time percentage is 17%

Step-by-step explanation:

The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:

L denotes the event  in which a person is lying.

NL denotes the event in which a person is not lying.

C denotes the event in which that lie detector works correctly

NC denotes the event in which  lie detector is not working correctly

Now

P(C|L) =0.8

And,

P(NC|L) is

=1 - .8

= 0.2

P(C|NL) =0.9

P(NC|NL) is

= 1 -.9

=.1

P(L) = 0.7

P(NL) is

= 1 - .7

= .3

Now

P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)

=. 2 × .7 + .1 ×.3

=. 14+.03

= 0.17

Hence, the time percentage is 17%

You might be interested in
Hii please help i’ll give brainliest if you give a correct answer.
Alex73 [517]
Uhhh uhhh uh. uh. h u h uh u u u u u u u u uh.
3 0
3 years ago
Please help due soon please and thank you
Sunny_sXe [5.5K]
The answer is A, 75 degrees
add all like terms
2x+196
all triangles equal 180 degrees
2x+196=180
subtract the 196 from 180
2x= -16
divide
x= -8
plug into angle A
-8+83
A=75
4 0
2 years ago
If a textbook has a mass of 2.2kg and weighs 19.6 newtons on Venus what is the strength of gravity on Venus?
Neporo4naja [7]
G=mg=>g=G/m=8,9m/s^2
7 0
3 years ago
A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of funds' returns shows an averag
Feliz [49]

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is

A. 0.037773 to 0.202227

B. 3.7773% to 20.2227%

C. 59.98786% to 61.01214%

D. 51.7773% to 68.2227%

E. 10.988% to 13.012%

Answer: E. 10.988% to 13.012%

Step-by-step explanation:

Given;

Mean x= 12%

Standard deviation r = 4%

Number of samples tested n = 60

Confidence interval is 95%

Z' = t(0.025)= 1.96

Confidence interval = x +/- Z'(r/√n)

= 12% +/- 1.96(4%/√60)

= 12% +/- 0.01214%

Confidence interval= (10.988% to 13.012%)

3 0
3 years ago
What's the value of x <br><br><br><br> (Middle School)
Elan Coil [88]
The answer is 360 hope it helps
6 0
2 years ago
Other questions:
  • Multiply. <br> (3.5 x 10^-5) (3 x 10-10)
    10·1 answer
  • Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of ca
    13·1 answer
  • Determine the value of c that satisfies the given relation. 3c-1/3=c/2
    10·1 answer
  • Part C
    14·1 answer
  • -1(-9) <br> What Is the results
    6·2 answers
  • Is the line through points P(7, 6) and Q(9, 11) perpendicular to the line through points R(5, 9) and S(7, 4)? Explain.
    6·1 answer
  • MAY YOU PLEASE HELP ME!
    13·1 answer
  • Write an equation of a line with the given slope and y-intercept. slope: - 13 y-intercept: –1
    12·1 answer
  • At a point on the ground 35 ft from a base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height o
    5·1 answer
  • Emergency plz help me !!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!