A test for syphilis gives a positive result with probability 0.98 when tested on a person who has the disease. The test gives a negative result with probability 0.9 when tested on a person who does not have the disease. Assume that 3% of a society has the disease, and compute the following probabilities in the order they are asked. Note that for each individual there are two disease status(disease, no disease) and two types of test results(positive, negative). (a) (0.5 point) Compute the probability that an individual has the disease and has a positive test result. Explain your computation. (b) (0.5 point) Compute the probability

Answer:

C

Step-by-step explanation:

As you saw in my comments, I explained it.

Thank you for letting me help!

Cheers!

- Kay :)

Answer:

V = 100.531 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define Variables

r = 2 cm

h = 8 cm

Step 2: Find Volume

Answer:

In my point of view 40% are bad

Answer: hold on you didn’t give enough info for this to make sense

Step-by-step explanation:

where is the question , without question how can we find the Values

Answer:

there are 13 of them brother from another mother

Answer:

B) 6

Step-by-step explanation:÷

The area of a triangle = 1/2 b* h or [tex]\frac{b*h}{2}[/tex]

Line AB = 4

Line AC = 3

Line BC = x

b = 3

since it is at a right angle,

h = 4

[tex]\frac{3*4}{2}[/tex] = 6

I suppose that you should have given some pairs to choose from.

Anyway, I can tell you how to do it. Given a pair [tex](a,b)[/tex], you have to substitute [tex]a[/tex] and [tex]b[/tex] to [tex]x[/tex] and [tex]y[/tex] respectively, and see if you get something true.

For example, the pair [tex](1,7)[/tex] satisfies the function, because the substitution yields

[tex]7=4\cdot 1+3[/tex]

which is true. On the other hand, the pair [tex](19,3)[/tex] doesn't satisfy the function, because

[tex]3=4\cdot 19+3[/tex]

is clearly false.

Answer:

that would be c i had that ques 5 mns ago

Step-by-step explanation:

Answer:

It’s 3600

Step-by-step explanation:

Answer:

A drink cost 1.50

Reasoning:

3×2=6

6+1.50=7.50

7.50+1.50=9

4×2=8

8+1.50=9.50

Answer:

y = 3x + 45  is the function equation of y intercept and slope.

Answer:

y=3x+1

Step-by-step explanation:

A parallel line has the same slope as the other line.

y=mx+b, m is the slope

Thus in y=3x+1, m =3

y = 3x + b

plug in points (1, 4) to determine b

4 = 3(1) + b

4 = 3 + b

subtract 3 on both sides

4 - 3 = b

b = 1

y = 3x + 1

please give thanks by clicking heart button :)

Answer:

15/8

Step-by-step explanation:

Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).

d = s + r + b   [1]

1/24 of the total distance is covered by  swimming.

s = 1/24 d   [2]

1/3 of the distance is covered by running.

r = 1/3 d  [3]

If we replace [2] and [3] in [1], we get

d = 1/24 d + 1/3 d + b

b = d - 1/24 d - 1/3 d

b = 24/24 d - 1/24 d - 8/24 d

b = 15/24 d = 5/8 d

The ratio of  the distance covered by bike to the distance covered by running is:

b/r = (5/8 d)/(1/3 d) = 15/8

Answer: so 5 out of 5 is like if it said 100 out of 100

soooo the answer is 100% ;)

Step-by-step explanation:

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

Using the exponential distribution, it is found that:

a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

d) The 90th percentile is of 230,259 hours.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this problem:

Mean of 100,000 hours, hence, they decay parameter is [tex]\mu = \frac{1}{100000}[/tex]

Item a:

[tex]P(X \leq 10000) = 1 - e^{-\frac{10000}{100000}} = 1 - e^{-0.1} = 0.0952[/tex]

0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

Item b:

[tex]P(X > 120000) = e^{-\frac{120000}{100000}} = e^{-1.2} = 0.3012[/tex]

0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

Item c:

[tex]P(X \leq 60000) = 1 - e^{-\frac{60000}{100000}} = 1 - e^{-0.6} = 0.4512[/tex]

[tex]P(X \leq 100000) = 1 - e^{-\frac{100000}{100000}} = 1 - e^{-0.6} = 0.6321[/tex]

[tex]P(60000 \leq X \leq 100000) = P(X \leq 100000) - P(X \leq 60000) = 0.6321 - 0.4512 = 0.1809[/tex]

0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

Item d:

This is x for which:

[tex]P(X > x) = 0.1[/tex]

Hence:

[tex]e^{-\mu x} = 0.1[/tex]

[tex]e^{-0.00001 x} = 0.1[/tex]

[tex]\ln{e^{-0.00001 x}} = \ln{0.1}[/tex]

[tex]-0.00001 x = \ln{0.1}[/tex]

[tex]x = -\frac{\ln{0.1}}{0.00001}[/tex]

[tex]x = 230259[/tex]

The 90th percentile is of 230,259 hours.

A similar problem is given at https://brainly.com/question/25645425

Answer:

y = (5/3)x + 4

Step-by-step explanation:

-5x + 3y = 12 (What you start with)

3y = 12 + 5x (Adding 5x to both sides)

y = (5/3)x + 4 (Dividing the equation by 3)

Answer:

Analysis of variance

Step-by-step explanation:

The appropriate statistical tool for this is the analysis of variance. The analysis of variance, also known as the ANOVA, is a statistical method which has the ability to separate data from observed variance into various components which is then use for more tests.

The anova gives an analysis of the differences that are in the group means of a sample.

The appropriate statistical test for comparing these means is Analysis of variance.

ANOVA stand for Analysis of variance. It is a statistical models and its associated estimation procedures are used to analyze the differences among means.

It simply provides a statistical test for two or more population to check if the means are equal or not, and therefore generalizes the t-test beyond two means.

Hence, the appropriate statistical test for comparing these means is Analysis of variance.

To know more visit:

https://brainly.com/question/15394749

Dimes are 0.10 each

Pennies are 0.01 each

You need 4 pennies to get the 0.04

Then you would have 3 dimes .

3 x 0.10 = 0.30

4 x 0.01 = 0.04

0.30 + 0.04 = 0.34

Answer:

[tex]\boxed{\frac{5}{7} }[/tex]

Step-by-step explanation:

[tex]-\frac{3}{7} \times (- 1 \frac{2}{3} )[/tex]

[tex]= -\frac{3}{7} \times (- \frac{5}{3} )[/tex]

[tex]= \frac{5}{7}[/tex]

Answer:

5/7

Step-by-step explanation:

do you get the answer?

Answer:

Step-by-step explanation:

assuming that weekends are only sat and sunday

24 students

or

if were assuming that friday is included

30 students

hope this helps <3

Answer:

24 students prefer weekend days C:

Step-by-step explanation:

Answer:

is that all?

Step-by-step explanation:

isnt there more to the problem?

Answer:

575

Step-by-step explanation:

15% of 500 = 75

500 + 75 = 575

Answer:

$425

Step-by-step explanation:

500*0.15=75

500-75=524

Answer:

The Answer is 6

Answer:i think it is like 17

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

The total model is 3 miles, divided by 3/4 equals the multiplication problem 3/1 times 3/4 but use the reciprocal of 3/4 which is 4/3 so it would be 3/1 times 4/3 which is 12/3 which is equivalent to 4. :)

There are 4 times did Eber stop.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eber ran 3 miles.

And, He stopped to take a break every 3/4 mile.

Now,

Let number of times stop = x

So, We can formulate;

⇒ 3/4x = 3

⇒ x = 3 × 4 / 3

⇒ x = 12/3

⇒ x = 4

Thus, There are 4 times did Eber stop.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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