Sam has been asked to prepare 40 documents in 2 work days(there are 8 hours in each workday).Each document takes 30 minutes to p
1 answer:
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Answer:
a) The probability distribution is
b) 0.5 = 50% probability that X will take on a value between 21 and 25.
c) 0.25 = 25% probability that X will take on a value of at least 26.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
Uniform distribution over the interval from 20 to 28.
This means that
a. What’s the probability density function?
The probability density function of the uniform distribution is:
In this question:
b. What’s the probability that X will take on a value between 21 and 25?
0.5 = 50% probability that X will take on a value between 21 and 25.
c. What’s the probability that X will take on a value of at least 26?
0.25 = 25% probability that X will take on a value of at least 26.
Given:
The recurring decimal is .
To prove:
Algebraically that the recurring decimal can be written as
.
Proof:
Let,
Multiply both sides by 100.
...(i)
Multiply both sides by 10.
...(ii)
Subtract (i) from (ii).
Divide both sides by 900.
So, .
Hence proved.