HELP ME PLEASE HELP ME

When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694$

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

8 0

2 years ago

In the standard (x, y) coordinate plane, what is the distance, in coordinate units, between (-3, -2) and (5, 5)?

Sav [38]

Answer:

10.630

Step-by-step explanation:

$\sqrt(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2}$

$\sqrt( 5-(-3)^{2} + (5- (-2)^{2}$

(5 - ( - 3)^2 = 64

(5 - ( -2)^2 = 49

49 + 64

113

$\sqrt113$

10.630

I hope this helps

8 0

3 years ago

What is the quotient of -3/8and-1/3?

hodyreva [135]

Answer:

9/8

Step-by-step explanation:

the quotient of -3/8 and -1/3

= (-3/8) / (-1/3)

= (-3/8) x (-3/1)

= 9/8

8 0

2 years ago

2. At the local park, there is an annual fair that

mafiozo [28]

Answer:

132 children and 88 adults

Step-by-step explanation:

let x represent the amount of kids and y represent the amount of adults.

since the problem says there was a total of 220 people at the fair an equation can be made

x+y=220

the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:

1.5x + 4y = 550

using the equations we can make this systems of equations:

1.5x + 4y =550

x + y =220

solve the systems of equations by subracting y on both sides of th bottom equation:

x=220-y

since x is equivant to 220-y it can be substitued for x in the first equation to make this:

1.5(220-y)+4y =550

--solve for y--

y=88 - there were 88 adults

substute 88 for y in the second equation

x+88=220

--solve for x--

x=138 - there were 132 children

7 0

2 years ago

What’s the correct answer

Marta_Voda [28]

The second one is correct

6 0

3 years ago