ANSWERRR SOON PLEASE :)
1 answer:
You might be interested in
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%.
Answer:
Expression 2b+b and 3b have same values for all values of b.
Step-by-step explanation:
Given the two expression and
and values of b as 1, 2 and 3.
Consider first expression that is, .
Substituting the value of ,
....1
Substituting the value of ,
....2
Substituting the value of ,
....3
Consider second expression that is, .
Substituting the value of ,
....4
Substituting the value of ,
....5
Substituting the value of ,
....6
For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.
Therefore both expression are same for all values of b.