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
The required percentage error when estimating the height of the building is 3.84%.
<h3>How to calculate the percent error?</h3>
Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
Given that,
An estimate of the height, H meters, of a tall building can be found using the formula :
H = 3f + 15
where the building is f floors high.
f = 85
The real height of the building is 260 m.
H = 3f + 15
Put f = 85 in the above formula
H = 3(85) + 15
H = 270 m
Error,
So, the required percentage error is 3.84%.
Learn more about percentage error;
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Answer:
4
Step-by-step explanation:
