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
Katyanochek1 [597]
3 years ago
8

A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h

ave myocardial infarction or you don’t)
a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.









b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?
Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

A value X is significantly high is:

X > E(X) + 2\sqrt{V(X)}

In this problem:

p = 0.149, n = 5000

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

E(X) = np = 5000*0.149 = 745

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36

895 > 795.36

896 deaths is a significantly high number, which means that there is cause for concern.

You might be interested in
4m-3(m +2) what is the answer step by step​
pishuonlain [190]

Answer:

-1m-6

Step-by-step explanation:

1. Multiply -3*m = -3m

2. Multiply -3* 2 = -6

3. Combine like terms : 4m + -3m = -1m

4. -1m - 6

5 0
3 years ago
Need Help (WILL GIVE BRAINLIEST)
Lilit [14]

Answer:

A

Step-by-step explanation:

(y-5) / (7-5) = (x-1) / (2-1)

(y-5) / 2 = x-1

y-5 = 2x -2

y = 2x +3

6 0
3 years ago
Negative 33 divided 11 as a fraction
Elodia [21]
-33 / 11 = ?

-33/11 

Simplify 

-3/1 would be the answer
6 0
3 years ago
Read 2 more answers
The volume of a cylinder with base radius 3 cm in height 6 cm is what cubic centimeters
Sindrei [870]

Answer:

22/7 * 3 * 3 * 6 ~ 169.65 cubic centimeters

5 0
3 years ago
HELP PLSSSSSSSSSSSSSSSSSSSSS
vredina [299]
C because the the negative always is turned into a positive if you leave a braniest answer that would mean a lot of it helped thanks!!!
8 0
3 years ago
Read 2 more answers
Other questions:
  • Helppppppppppppppppp
    15·2 answers
  • A dairy company surveys 1,000 families and establishes that the mode of the data for the number of weekly household trips to the
    5·2 answers
  • Enter the degree of the polynomial below 7x^7+x^4+4x^3-5x^11-10x^6-6x^7
    10·2 answers
  • If i have 12 kg of trail mix and i ate 8,600 g how many liters would i have left?
    12·1 answer
  • Kate made 180 ounces of punch for a party.She serves the punch in 8punce cups.How many full cups can she serve?
    6·1 answer
  • A parallelogram has a base of 12 centimeters and a height of 8 centimeters. What is the area of the parallelogram?
    9·2 answers
  • What is the slope of the line? question 3
    13·2 answers
  • 2.5(10x + 8)+3x simplified
    12·1 answer
  • On a coordinate plane, which point lies on the x-axis?
    13·1 answer
  • There are 0.97 grams of salt in a container and nayan uses 0.56 grams
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!