2. The increased number of small commuter planes in major airports has heightened concern over air safety. An eastern airport has recorded a monthly average of five near-misses on landings and takeoffs in the past 5 years. a. Why is x, the number of near-misses in a month, a Poisson random variable? b. Find the probability that there is 0 near-miss in a given month c. Find the probability that there are more than 2 near-misses in a given month d. What is the maximum number of near-misses that can be expected to occur for any given month?

Q: a) How many students are taking Art?

A: the number of students taking Art if given by 6+10=16

Q: 5.

A:

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A: topic - quadratic equations

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A:

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A:

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A: Pick the odd one out.

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A:

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A:

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A: To simplify given

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A: Here we have to find the integral value.

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A: By Mean value theorem, if a function f is differentiable on a, b, then there exist c∈a, b such that…

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A: The quadratic function has vertex (-2,3) and a point on graph 1, 12

Q: 1 Evaluate. 5P3 • 6C4 900 300 150

A: Use the formula and evaluate.

Q: ex- 12

A: Given: y=ex-12 we know that am-n=aman

Q: 4. Find the 2"

A: Given problem is :

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A:

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A:

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A: Given       5  2 3 − 4 4 8¯      1  5 7 5

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A: We will evaluate the required value.

Q: 34A and score

A: Given; 3 score and 2.

Q: 2. Evaluate dz.

A: I = ∫x31 - x2 dxLet, x = cosθ ⇒ dx = -sinθ dθSo, I = ∫cos3θ1 - cos2θ- sinθ dθ          = - ∫cos3θ…

Q: 4P3

A:

Q: Kinda lost

A: here the graph passes two times  through the x -axis  so there will be two roots

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A: The given distribution is, X 2 3 4 P(X) 0.32 0.48 0.20

Q: 3. Evaluate

A: The given integral is 1/(x-1)2/3 limit from 0 to 3.

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A:

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Q: Question c. Thanks

A: Given function is, fx=x-1+2for x<1ax2+bxfor x≥1 The objective is to find the values of a and b…