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
hichkok12 [17]
2 years ago
11

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citiz

ens suffer from both sleep disorders and anxiety. a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth. B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
Mathematics
1 answer:
Alla [95]2 years ago
7 0

Answer:

a) 0.71

b) 0.06

Step-by-step explanation:

We solve using Baye's Theorem

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

We have Two events

A and B

Events A = 88% of senior citizens suffer from sleep disorders

P(A) = 0.88

Event B = 7% suffer from anxiety

P(B) = 0.07

Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

P(A and B) = 0.05

a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(B)

= 0.05/0.07

= 0.7142857143

Approximately = 0.71

B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(A)

= 0.05/0.88

= 0.0568181818

Approximately = 0.06

You might be interested in
Hellllllllllllllllllllllllllllppppppppppppppppp
dezoksy [38]

Answer:

11

Step-by-step explanation:

2.2x 5 = 11

6 0
3 years ago
Read 2 more answers
($5 for two work sheets) IF ANY ONE NEEDS HELP WITH ANY KIND OF WORK ILL DO IF FOR A BIT OF CASH I GRADUATED COLLEGE I KNOW WHAT
AnnZ [28]

Answer:   how much does an exam cost XD?

Step-by-step explanation:

5 0
2 years ago
Anita text a photo of five Dolphins to a friend to five friends she asked each of her five friends to text the photo to 5 more f
Y_Kistochka [10]
You would multiply 78,125 by 5 and get I think 390,625? I think
7 0
2 years ago
Read 2 more answers
A gardener is laying down sod (grass) at a newly built house. The rectangular front yard measures 52.1 ft by 26.4 ft. Each order
goldfiish [28.3K]

Answer:

3

Step-by-step explanation:

52.1 x 26.4 to find the total area equals 1375.44

1375.44 / 500 = 2.75088

since you can’t buy parts you round tot he next whole number making the answer 3

5 0
2 years ago
Can someone tell me how
gulaghasi [49]

the way I get the subsequent term, nevermind the exponents, the exponents part is easy, since one is decreasing and another is increasing, but the coefficient, to get it, what I usually do is.

multiply the current coefficient by the exponent of the first-term, and divide that by the exponent of the second-term + 1.

so if my current expanded term is say 7a³b⁴, to get the next coefficient, what I do is (7*3)/5   <----- notice, current coefficient times 3 divided by 4+1.

anyhow, with that out of the way, lemme proceed in this one.

\bf ~~~~~~~~\textit{binomial theorem expansion} \\\\ \qquad \qquad (1+ax)^n\implies \begin{array}{llll} term&coefficient&value\\ \cline{1-3}&\\ 1&+1&(1)^n(ax)^0\\\\ 2&+\frac{(1)(n)}{1}\to n&(1)^{n-1}(ax)^1\\\\ 3&+\frac{n\cdot (n-1)}{2}&(1)^{n-2}(ax)^2 \end{array}

so, following that to get the next coefficient, we get those equivalents as you see there for the 2nd and 3rd terms.

so then, we know that the expanded 2nd term is 24x therefore

\bf n(1)^{n-1}(ax)1 = 24x\implies n(1)(ax)=24x\implies nax=24x\implies n=\cfrac{24}{a}

we also know that the expanded 3rd term is 240x², therefore we can say that

\bf \cfrac{n(n-1)}{2}~~(1)^{n-2}(ax)^2 = 240x^2\implies \cfrac{n(n-1)}{2}(1)(a^2x^2) = 240x^2 \\\\\\ \cfrac{(n^2-n)(a^2x^2)}{2}=240x^2\implies \cfrac{(n^2-n)(a^2)}{2}=\cfrac{240x^2}{x^2}\implies \cfrac{a^2n^2-a^2n}{2}=240 \\\\\\ a^2n^2-a^2n=480

but but but, we know what "n" equals to, recall above, so let's do some quick substitution

\bf a^2n^2-a^2n=480\qquad \boxed{n=\cfrac{24}{a}}\qquad a^2\left( \cfrac{24}{a} \right)^2-a^2\left( \cfrac{24}{a} \right)=480 \\\\\\ a^2\cdot \cfrac{24^2}{a^2}-24a=480\implies 24^2-24a=480\implies 576-24a=480 \\\\\\ -24a=-96\implies a=\cfrac{-96}{-24}\implies \blacktriangleright a = 4\blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ n=\cfrac{24}{a}\implies n=\cfrac{24}{4}\implies \blacktriangleright n=6 \blacktriangleleft

7 0
3 years ago
Other questions:
  • This is part 1. Please help
    9·1 answer
  • X - 3= -21 <br>This is so confusing:(​
    7·2 answers
  • How do you find the slope of a line on a graph?
    14·1 answer
  • Y=-3x+5 <br> 5x-4y=-3<br> Trying to solve this problem
    9·1 answer
  • A group of veterinarians at a major veterinary hospital was interested in investigating a possible link between enteroliths, sto
    5·1 answer
  • Without measuring, how can you determine whether two sides of a polygon are congruent?
    12·1 answer
  • Find the distance between the points E(3,7) and F(6,5)
    8·1 answer
  • The function shown the the graph is f(x) =
    10·1 answer
  • Explain why an inverse variation function is not the best model for the data set?
    15·1 answer
  • What is the measure of ABC <br> A. 63<br> B. 126<br> C. 44<br> D. 82
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!