The probability tests to detect the presence of hepatitis B:
P (presence)= 0.97 (true) 0.03 (false)
P (absence)= 0.99 (true) 0.01 (false)
P(infected)=0.0055
P(not infected)= 0.9945
To have an incorrect result:
P[infected and false from P(presence)] + P[not infected and false from P(absence)]
=0.0055*0.03+0.9945*0.01= 0.01011
The answer is<span> 0.01011 </span>
Answer: Yes, 4-6 is the same as 4 + (-6).
Step-by-step explanation:
One reason why they are the same is because 4 - 6 equals -2 and 4 + (-6) also equals -2. You can turn 4 - 6 into 4 + (-6) by turning the subtraction sign to a plus sign and turn the positive 6 into a negative 6.
Answer:
A p
Step-by-step explanation:
We have

Remeber that


Now, plug in
So now we plug in -1 for x and 5 for y

Simplify

A is the answer.
Answer:
(a) 0.20
(b) 31%
(c) 2.52 seconds
Step-by-step explanation:
The random variable <em>Y</em> models the amount of time the subject has to wait for the light to flash.
The density curve represents that of an Uniform distribution with parameters <em>a</em> = 1 and <em>b</em> = 5.
So, 
(a)
The area under the density curve is always 1.
The length is 5 units.
Compute the height as follows:


Thus, the height of the density curve is 0.20.
(b)
Compute the value of P (Y > 3.75) as follows:
![P(Y>3.75)=\int\limits^{5}_{3.75} {\frac{1}{b-a}} \, dy \\\\=\int\limits^{5}_{3.75} {\frac{1}{5-1}} \, dy\\\\=\frac{1}{4}\times [y]^{5}_{3.75}\\\\=\frac{5-3.75}{4}\\\\=0.3125\\\\\approx 0.31](https://tex.z-dn.net/?f=P%28Y%3E3.75%29%3D%5Cint%5Climits%5E%7B5%7D_%7B3.75%7D%20%7B%5Cfrac%7B1%7D%7Bb-a%7D%7D%20%5C%2C%20dy%20%5C%5C%5C%5C%3D%5Cint%5Climits%5E%7B5%7D_%7B3.75%7D%20%7B%5Cfrac%7B1%7D%7B5-1%7D%7D%20%5C%2C%20dy%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5By%5D%5E%7B5%7D_%7B3.75%7D%5C%5C%5C%5C%3D%5Cfrac%7B5-3.75%7D%7B4%7D%5C%5C%5C%5C%3D0.3125%5C%5C%5C%5C%5Capprox%200.31)
Thus, the light will flash more than 3.75 seconds after the subject clicks "Start" 31% of the times.
(c)
Compute the 38th percentile as follows:

Thus, the 38th percentile is 2.52 seconds.
Answer:
40%
Step-by-step explanation:
The probability he misses at least one of the targets is 1 minus the probability that he hits all of the targets.
P = 1 − 0.95¹⁰
P = 1 − 0.599
P = 0.401
Rounded, there is a 40% chance he misses at least one target.