Match each graph to it's correct equation in the box below. You will not use every equation.

Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr

Fiesta28 [93]

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

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

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002$

0.0002 = 0.02% probability that exactly 6 patients will die.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

8 0

1 year ago

Ann Torbert purchased a truck for $11,000 on January 1, 2014. The truck will have an estimated salvage value of $1,000 at the en

alexandr402 [8]

Answer:

$Balance in accumulated depreciation=\frac{10000}{Total Estimated Value}*Units of activity$

Step-by-step explanation:

Salvage value=$1000

Purchased value=$11,000

In order to find the balance in accumulated depreciation at december 31,2015 using the units of activity we will use the following formula:

$Balance in accumulated depreciation=\frac{10000}{Total Estimated Value}*Units of activity$

In the above equation $10000 came from Purchased value - salvage Value

6 0

2 years ago

Read 2 more answers

A ball is dropped from the top of a building. The table shows its height in feet above ground at the top of each bounce. What is

zaharov [31]

Answer:

89.1

Step-by-step explanation:

As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.

(If im wrong ill edit the answer.)

8 0

2 years ago

Read 2 more answers

Y ≥ −x − 3 graph the question

Alex777 [14]

Answer:

Step-by-step explanation:

Have a Nice Day

4 0

2 years ago

Read 2 more answers

Sunshine City was designed to attract retired people. Its current population of 75,000 residents has a mean age of 63 years and

Leokris [45]

Answer:

a) Identify the variable of interest.

Ages of the residents

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

Step-by-step explanation:

a) Identify the variable of interest.

Ages of the residents

The center of a distribution tells us about the Mean or Median of the distribution

The spread of a distribution tells us about the standard deviation of the population

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

This is because the mean is farther out to the left side of the tail of the distribution.

7 0

2 years ago