Please answer see the image below
2 answers:
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Answer:
the new frame is bigger than the original frame by 10%
Step-by-step explanation:
Let the length of the original frame be l,
then it's width is (10% of l)=×l
=
hence area of original frame=A=length×width
=
now the length of frame is enlarged by 10%
new lenght of frame=l+10%×l
=l+×l
=×l
width of new frame==
area of new frame=length×width
=
percent change=((area of new frame-area of old frame)×100)÷area of old frame
=10%
Answer:
The answer is below
Step-by-step explanation:
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places.
(a) What is the probability that more than three aircraft arrive within an hour?
(b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals?
(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.1.
Solution:
a) A poisson distribution is given by the formula:
λ = 1 hour
Therefore:
P(X > 3) = 1 - P(X < 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(x = 3)]
P(X > 3) = 1 - [0.3679+0.3679 + 0.1839 + 0.0613] = 0.019
b) Assuming 30 1 hour intervals, hence:
c) mean = 1 hour
mean = 1 / λ
1 = 1 / λ
λ = 1
The cumulative distribution function of a continuous variable is: