The test to detect the presence of the hepatitis B virus is 97% accurate for a person who has the disease and 99% accurate for a person who does not have the disease. In a given population, 0.55% of the people are infected. The probability that a randomly chosen person gets an incorrect result is

QUESTION POSTED AT 18/01/2020 - 06:54 AM

Answered by admin AT 18/01/2020 - 06:54 AM

0.0055*0.03+0.9945*0.01

because 0.55% people are infected and inaccuracy of the test is 3% 
and rest 99.45% people are not infected and the inaccuracy of the test is 1%

0.03 and 0.01 are the probability of an error being made in infected and uninfected respectively.


0.01011 is the probability that a randomly chosen person gets an incorrect result.
Post your answer

Related questions

The probability that an event will occur is 0.1. What is the probability that the event will NOT occur

Answer: 0.9

Step-by-step explanation:

For any event A , the probability of event A will occur be P(A).

Then , the probability of not occuring the event A will be given by :-

\text{P(A')=1-P(A)}

The given statement : The probability that an event will occur is 0.1.

That is , P(A)=0.1

Now, the probability that the event will NOT occur is given by :-

\text{P(A')}=1-0.1\\\\\Rightarrow\ \text{P(A')}=0.9

Hence, the probability that the event will NOT occur = 0.9

ANSWERED AT 21/02/2020 - 10:44 AM


QUESTION POSTED AT 21/02/2020 - 10:44 AM

The population of a certain geographic region is approximately 103 million and grows continuously at a relative growth rate of 1.67%. What will the population be in 5 years? Compute the answer to three significant digits.

The population ( now ) : 103 million.
In 5 years:
103  * ( 1.0167 )^5 =
= 103 * 1.08633586 = 
= 111.89259 ≈ 111.893
Answer:
The population will be 111.893 million.

ANSWERED AT 21/02/2020 - 10:10 AM


QUESTION POSTED AT 21/02/2020 - 10:10 AM

Fletcher got 92 votes in the class election. 115 people voted. what percent of all the votes did he get?

92 divided by 115 equals 80 percent

ANSWERED AT 20/02/2020 - 11:14 PM


QUESTION POSTED AT 20/02/2020 - 11:14 PM

Write and solve a division equation to solve the problem: Sophia is buying party favors. She has a budget of $2.75 a person for 6 people. How much can Sophia spend on party favors? Thank you! :)

$2.75 ÷ 6
Sofia needs to spend $0.45 on party favors.
Hope this helps! C:

ANSWERED AT 20/02/2020 - 10:50 PM


QUESTION POSTED AT 20/02/2020 - 10:50 PM

I am stuck!! Help me!! I have a test tomorrow‼️‼️‼️‼️‼️

X and Y both equal 1

ANSWERED AT 20/02/2020 - 10:49 PM


QUESTION POSTED AT 20/02/2020 - 10:49 PM

I am stuck!! Help me!! I have a test tomorrow‼️‼️‼️‼️‼️

Do you need to graph this?

ANSWERED AT 20/02/2020 - 10:49 PM


QUESTION POSTED AT 20/02/2020 - 10:49 PM

The Eiffel tower casts a shadow that is 328 feet long a 6 feet tall person standing by the tower casts a 2 foot long shadow. how tall is the Eiffel tower

If a 6 foot long person casts a 2 foot long shadow or 1/3 of height then it is 109 feet tall or 328/3=109.3333

ANSWERED AT 20/02/2020 - 10:41 PM


QUESTION POSTED AT 20/02/2020 - 10:41 PM

There are 26 letters in the alphabet. What is the probability that a letter chosen at random is in the word mathematics


How many different letters are there in the word mathematics?

{a, c, e, h, i, m, s, t}

(8 letters)


So, if you chose a letter at random from the alphabet, the probability that that letter is in the word mathematics is  8 : 26  (or 30.8 % approximately).


I hope this helps. =)

ANSWERED AT 20/02/2020 - 10:34 PM


QUESTION POSTED AT 20/02/2020 - 10:34 PM

What is the probability of winning a raffle if 500 tickets are sold and you buy 5 of them

Well you would start with 5/500 then simplify to 1/100

ANSWERED AT 20/02/2020 - 10:30 PM


QUESTION POSTED AT 20/02/2020 - 10:30 PM

What is the probability of guessing the correct answer to a true false question

The answer is going to be 50% if it's not one of them it's going to be the other making your chances become effective we have what they would be if it was a multi question problem

ANSWERED AT 20/02/2020 - 10:26 PM


QUESTION POSTED AT 20/02/2020 - 10:26 PM

Each of four friends orders a sweatshirt from a catalog. There are 15 colors of sweatshirts, 5 of which are all cotton and 10 of which are a blend. Each one orders a different color (no repeats) at random. What is the probability that the friends order only cotton sweatshirts?

Answer:

Hence, the probability is:

\dfrac{1}{273}

Step-by-step explanation:

Each of four friends orders a sweatshirt from a catalog.

There are 15 colors of sweatshirts, 5 of which are all cotton and 10 of which are a blend.

We have to find the probability that the friend order only cotton sweatshirt:

As there are 5 cotton shirts out of which four are to be selected from a total of 15 coloured shirts.

Now we know that a probability is defined as:

Probability=( Number of favourable outcomes)/(Total number of outcomes)/( Total number of outcomes)

So, the probability is:

Probability=\dfrac{5_C_4}{15_C_4}\\\\=\dfrac{\dfrac{5!}{4!\times 1!}}{\dfrac{15!}{4!\times 11!}}\\\\\\=\dfrac{1}{273}

Hence, the probability is:

\dfrac{1}{273}

ANSWERED AT 20/02/2020 - 10:25 PM


QUESTION POSTED AT 20/02/2020 - 10:25 PM

What is 1+1 I already know it I'm just testing out this app

1+1= 2 and also this is a pretty useful app you should use it if you ever need help


ANSWERED AT 20/02/2020 - 10:11 PM


QUESTION POSTED AT 20/02/2020 - 10:11 PM

You are testing two food scales for accuracy by weighing two different types of foods. Use the drop-down menus to complete the statements about the scales' accuracy.

Answer:

Sample 2 has least percent error.

Step-by-step explanation:

The formula for percent error is

E=\frac{\text{Stated amount-Actual amount}}{\text{Actual amount}}\times 100

Percent error in sample 1:

E_1=\frac{14-13.7}{13.7}\times 100\approx 2.19

The percent error in sample 1 is 2.19.

Percent error in sample 2:

E_2=\frac{24-24.4}{24.4}\times 100\approx -1.64

The percent error in sample 2 is 1.64.

Percent error in sample 3:

E_3=\frac{25-25.8}{25.8}\times 100\approx -3.1

The percent error in sample 3 is 3.1.

Percent error in sample 4:

E_4=\frac{39-40.2}{40.2}\times 100\approx -2.99

The percent error in sample 4 is 2.99.

Therefore sample 2 has least percent error.

ANSWERED AT 20/02/2020 - 10:00 PM


QUESTION POSTED AT 20/02/2020 - 10:00 PM

1. To prevent a driver with a suspended license from driving further, a person convicted of driving with an invalid license may be penalized with __________ .

The police can charge you with driving while license invalid if you are stopped and a computer check of your license ...

ANSWERED AT 20/02/2020 - 09:56 PM


QUESTION POSTED AT 20/02/2020 - 09:56 PM

UGHHHH PLZ HELP !!!hate usa test prep

1computer/8students because 72/9=8

ANSWERED AT 20/02/2020 - 09:40 PM


QUESTION POSTED AT 20/02/2020 - 09:40 PM

A population of frogs increases at an annual rate of 22%.How many frogs will there be in 5 year?

The population of the frogs in 5 years is 267

ANSWERED AT 20/02/2020 - 09:39 PM


QUESTION POSTED AT 20/02/2020 - 09:39 PM

Geometry Test ..HALP Q~Q!! pweash

Your answer will be 2 and 4

ANSWERED AT 20/02/2020 - 06:01 PM


QUESTION POSTED AT 20/02/2020 - 06:01 PM

A. What is the probability that a five-card poker hand contains exactly one ace? b. What is the probability that a five-card poker hand contains cards of five different kinds?

Part (A):

\dfrac{\dbinom41\dbinom{48}4}{\dbinom{52}5}\approx0.2995

Part (B): Depends on what you mean by "different kind". If "kind" means "suit", well that's impossible, because there are only 4 suits so at least two of the cards must match suit.

ANSWERED AT 20/02/2020 - 01:16 PM


QUESTION POSTED AT 20/02/2020 - 01:16 PM

1. which type of debt is most often secured? a. mortgage b. personal line of credit c. credit card d. revolting line of credit 2. A(n) _____ is considered unsecured debt a. auto loan b. mortgage loan c. home equity loan d. credit card 3. you (or your parents) are purchasing a car for $18,965 plus 6.25% sales tax. The down payment is $1,500. What is the difference in the accured in interest at the end of the first month between the average and the excellent credit ratings?a. $15.01b. $15.95c. $14.47d. $13.834. you (or your parents) purchase a car for $28,125 plus 7.5% sales tax. The down payment is $3,125. You have a fair credit rating. What is your new principal balance at the beginning of the second month if you pay $529.79 at the end of the first month?a. $26,706.14b. $27,595.25c. $29,704.53d. $26,579.63

1. which type of debt is most often secured? 
a. mortgage 


2. A(n) _____ is considered unsecured debt 
d. credit card 

3. you (or your parents) are purchasing a car for $18,965 plus 6.25% sales tax. The down payment is $1,500. What is the difference in the accured in interest at the end of the first month between the average and the excellent credit ratings?

Excellent secured APR: 3.95% = 0.3291% for 1 month
Average secured APR: 4.90% = 0.4083% for 1 month

18,965 x  1.0625 = 20,150.31 - 1,500 dp = 18,650.31 * (0.4083%-0.3291%) = 18,650.31 * 0.0792% = 1,477/10 / 100% = 14.77  nearest to Choice C 14.47.

4. you (or your parents) purchase a car for $28,125 plus 7.5% sales tax. The down payment is $3,125. You have a fair credit rating. What is your new principal balance at the beginning of the second month if you pay $529.79 at the end of the first month?

Fair secured apr: 5.60% = 0.4666% for 1 month

28,125 x 1.075 = 30,234.38 - 3125 = 27,109.38

27,109.38 x 1.004666 = 27,235.87 - 529.79 = 26,706.08 nearest to Choice A. 26,706.14

ANSWERED AT 20/02/2020 - 01:07 PM


QUESTION POSTED AT 20/02/2020 - 01:07 PM

You are planning on using circles to compare the populations of California 37,691,000, Texas 25,675,000, and New York 19,465,000. If the circle for New York will have a 5 cm radius, how large should the radii for Texas and California be? Round to the nearest tenth of cm.

The areas of the circle will represent the population, so:
Area = πr²

5² : 19,465,000
C² : 37,691,000

California circle radius = 6.96 cm

For Texas:
5² : 19,465,000
T² : 25,675,000

Texas circle radius = 5.74 cm

ANSWERED AT 20/02/2020 - 12:31 PM


QUESTION POSTED AT 20/02/2020 - 12:31 PM

Katie has a 75% chance of making an A on a test. What is the probability that she will not make an A on her next two test: Algebra and Physics? A) 3.125% B) 6.25% C) 12.5% D) 25%

Answer: B) 6.25%

Step-by-step explanation:

Let T be the event of making grades on a test by Katie.

Given: The probability that she will not make an A on test P(T)=75%= 0.75

The probability that she will not make an A on test is given by :-

P(T)'=1-P(T)\\\\\\Rightarrow\ P(T)'=1-0.75\\\\\Rightarrow P(T)=0.25

Since all the events of making grades are independent.

Therefore, the probability that she will not make an A on her next two test: Algebra and Physics is given by :-

P(\text{Algebra and Physics})=P(T)\times P(T)\\\\\Rightarrow0.25\times0.25=0.625

In percent, 0.625\times100=6.25\%

Hence, the probability that she will not make an A on her next two test: Algebra and Physics = 6.25%.

ANSWERED AT 20/02/2020 - 12:28 PM


QUESTION POSTED AT 20/02/2020 - 12:28 PM

Anyone know this? its probably really easy I'm just dumb

B is the correct answer

ANSWERED AT 20/02/2020 - 11:12 AM


QUESTION POSTED AT 20/02/2020 - 11:12 AM