Use the empirical probability formula to solve the exercise. Express the answer as a fraction. Then express the probability as a decimal, rounded to the nearest thousandth, if necessary. The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person lives 3-4 years after diagnosis. Years after Diagnosis Number deaths 15 35 16 1-2 3-4 5-6 7-8 9 9-10 11-12 4 13-14 15+ 13 ; 0.538 65 1 ; 0.029 35 35 ; 0.35 100 7 ; 0.058 120
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![Use the empirical probability formula to solve the exercise. Express the answer as a
fraction. Then express the probability as a decimal, rounded to the nearest
thousandth, if necessary.
The table below represents a random sample of the number of deaths per 100 cases
for a certain illness over time. If a person infected with this illness is randomly
selected from all infected people, find the probability that the person lives 3-4 years
after diagnosis.
Years after Diagnosis|Number deaths
15
35
16
1-2
3-4
5-6
7-8
9-10
11-12
2
|13
13-14
15+
35
; 0.538
65
1
; 0.029
35
35
; 0.35
100
7
; 0.058
120](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f07c76b-37f9-44fb-a83a-7b9326898976%2F05c5d937-1bad-4aa5-89b8-2a662969e0e5%2F73px91_processed.png&w=3840&q=75)
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