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Answer:
a) 80% probability that x lies between 7 and 27.
b) 28% probability that x lies between 6 and 13.
c) 44% probability that x lies between 9 and 20.
d) 28% probability that x lies between 11 and 18.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.
Uniform distribution from a = 4 to b = 29
(a) Find the probability that x lies between 7 and 27.
So
80% probability that x lies between 7 and 27.
(b) Find the probability that x lies between 6 and 13.
So
28% probability that x lies between 6 and 13.
(c) Find the probability that x lies between 9 and 20.
So
44% probability that x lies between 9 and 20.
(d) Find the probability that x lies between 11 and 18.
So
28% probability that x lies between 11 and 18.
rearrange into the form y = mx + b
subtract 6x from both sides of the equation
7y = - 6x + 14
divide all terms by 7
y = - x + 2 → in slope- intercept form