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
Mr. Murphy has an old coin that has 10 sides. If it's shape it's a polygon how many angles does the old coin have
shepuryov [24]
Epretty sure it's 10 angles
8 0
3 years ago
Read 2 more answers
Find the domain of the function in interval notation: f(x) =1/ x + 22​
cricket20 [7]

That's the answer

x = - 1/22

6 0
2 years ago
QUICK! I NEED HELP!!
s2008m [1.1K]

Answer:

2.9

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is 949 rounded to the nearest ten and hundred
Brilliant_brown [7]
Tenth=950
hundred=900
8 0
3 years ago
Read 2 more answers
What is the answer to 17=5k-2
nadezda [96]


17=5k-2

[add 2 on both sides]

19=5k

[divide 5 on both sides]

k=19/5(3.8)


HOPE THIS HELPS!!!!!!

6 0
3 years ago
Read 2 more answers
Other questions:
  • 5 divided by six is 5/6 what is 1/6 of 5
    10·2 answers
  • What number has 6 hundreds and 8 ones?
    10·2 answers
  • Please help me out please!!!!!!!!!
    12·2 answers
  • An inchworm (exactly one inch long, of course) is crawling up a yardstick (guess how long that is?). After the rst day, the inch
    7·1 answer
  • Expand the following expression by using distributive method. 3(4x+5y)
    7·1 answer
  • What number is the opposite of -3?<br> Explain your reasoning
    10·1 answer
  • Evaluate the expression.
    8·1 answer
  • Ive reposted 5 times I NEED HELP CAN SB PLS ANSWER OMG!!!NEEED STEP BY STEP EXPLANATION PLSS THANK U
    6·1 answer
  • Draw a pair of adjacent angles with the given description
    11·1 answer
  • Find CD.<br> A) 5<br> B) 28<br> C) 56<br> D) 96
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!