[10] The random variable Y has normal distribution with a mean of 30 and a variance of 16, i.e. Y~ N(30, 16). Let T = Y+3. a) Compute E(T) and Var(T). What is the distribution of T? in general knowing the expected value and variance doesn't mean that we know the distribution, but when Y is normal, T will be normal as well because T is basically scaling and then shifting Y so its shape is not going to change. Indeed, the standard Z-transformation does something similar.) b) Can you compute the following probability P(8.5 ≤ T ≤ 10)? Explain why. c) Compute P(T> 21)? d) Compute P(14 ≤ T ≤ 20)?

Q: Find || projau || if u = (2,4) and a = = (3,-1). NOTE: Enter the exact answer or round the exact…

A: projau=u.aa2a   For two vectors u=u1,u2 and a=a1,a2a.u=a1×u1+a2×u2   For any vector x=x1,x2x=x12+x22…

Q: could you clarify part a please ? is that a g? or a 9? what is part a answer??

A: Given that f(x)=x2-5x-14x-7we have to find limx→7f(x)

Q: SLOPPY

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Q: Could you also help me with part e

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Q: can you explain the i.e part of step 2 part B?

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Q: is this fully simlified ?

A: Find the derivative of  f(x)=82x2+7

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Q: p value is incorrect. please fix that!

A: Take t value from above given data t = 0.6004 df = 57.7 ~ 58

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A: Algebra is one branch of Mathematics that uses letters to write rules andformula in a general way .…

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A:

Q: Write an example of DeMorgan's Law.

A: DeMorgan's Law 1.( A ∪ B)’ = A’ ∩ B’ 2.( A∩B)’ = A’ ∪ B’

Q: Could you give a mathematical explanation for part c please?

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Q: can you write part i) on paper

A:

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A: Given that,gt=51+t2We need to compute the average value gave of the function on the interval 0,7.

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A: Note: After seeing the previous explanation, we observe that the student has some doubts  related…

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A:

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A: It is a linear regression problem with a best fit line. The main of that method is there are some…

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A: Let's solve.

Q: -3 -9 If A = 0 1 4 then 1 A-1 =

A: