The sum of 3 times m and 4 times m
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Answer:
The lower bound of the probability that there will be between 100 and 140 passengers 96%.
Step-by-step explanation:
The Chebyshev's theorem states that, the probability that <em>X</em> is within <em>k</em> standard deviation of mean is given by,
Here, k is any positive number.
The given information is:
Mean (<em>µ</em>) = 120
Standard deviation (<em>σ</em>) = 16.
Then, we need to compute, P (100 ≤ X ≤ 140).
Then,
Since, these two values coincide it implies that the event (66000, 78000) is centered about the mean.
Also, the event P (100 ≤ X ≤ 140) is equivalent to having X within 5 standard deviation of the mean.
That is, <em>k</em> = 5.
Then for k = 5,
That is, <em>P</em> (100 ≤ <em>X</em> ≤ 140) ≤ 0.96 .
Thus, the lower bound of the probability that there will be between 100 and 140 passengers 96%.
Work is shown (^_^)
Did #9-10 also
3) 3p -2 = -29 Isolate 3
3p= -29+2
3p= -27 Divide by 3
p = -9
4) 1- r = -5 Isolate r
-r= -5-1
-r= -6 Multiply by -1
r= 6
5) k-10/2 = -7 Multiply by 2
k-10= 2(-7)
k-10= -14
k=-14+10
k=-4
See attached file for #6-10
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Did #9-10 also
3) 3p -2 = -29 Isolate 3
3p= -29+2
3p= -27 Divide by 3
p = -9
4) 1- r = -5 Isolate r
-r= -5-1
-r= -6 Multiply by -1
r= 6
5) k-10/2 = -7 Multiply by 2
k-10= 2(-7)
k-10= -14
k=-14+10
k=-4
See attached file for #6-10
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