Answer:
4.76% probability that a randomly selected person from the population has a positive test result
Step-by-step explanation:
We have these following probabilities:
4% probability of having the disease.
If a person has a disease, 95% probability of a positive test.
100-4 = 96% probability a person does not have the disease.
If a person does not have the disease, 1% probability of a positive test.
What is the probability that a randomly selected person from the population has a positive test result
95% of 4% and 1% of 96%. So
p = 0.95*0.04 + 0.01*0.96 = 0.0476
4.76% probability that a randomly selected person from the population has a positive test result
First, let's solve the inequality:
Subtracting 4 from all 3 terms, we get -6 < 3x < -2
Solving -6 < 3x results in x>-2, and solving 3x < -2 results in x < -2/3.
Ask: which integers satisfy x>-2? Answers: -1, 0, 1, 2, ....
Also ask: which integers satisfy x < -2/3? Answers: -5, -4, -3, -2, -1
Notice that the only integer that is found in both sets of possibilities is -1. So, only one integer x satisfies the given inequality.
To answer your question, this could be the possible answer and i hope you understand and interpret it correctly:
<span>[Integrate [0, 1/2] xcos(pi*x
let u=x so that du=dx
and v=intgral cos (xpi)dx
v=(1/pi)sin(pi*x)
integration by parts
uv-itgral[0,1/2]vdu just plug ins
(1/pi)sinpi*x]-(1/pi)itgrlsin(pi*x)dx from 0 to 1/2
(1/pi)x sinpi*x - (1/pi)[-(1/pi) cos pi*x] from 0 to 1/2
=(1/2pi)+(1/pi^2)[cos pi*x/2-cos 0]
=1/2pi - 1/2pi^2
=(pi-2)/2pi^2 ans</span>
Answer:
Year 1
4% of $1,000 is $40
Year 2
4% of $1,040 is $41.6
The Princple has accumulated $1,081.60 dollars.