5. Let X₁, X₂,..., X100 be the weights of 100 bales of hay. Assume that the random variables are i.i.d. with mean 90 pounds and standard deviation 10 pounds. Let S = X₁ + ... + X100 be their combined weight. (a) What is the mean of S? (b) What is the variance of S? (c) Approximate the probability that S exceeds 120 pounds.

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A: given data, X~N(175,40)p(X>x)=0.069we have to find out the given probability

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A: given data, a beg contains3- red marbles 1- green 1- lovender3- yellows2- orange 10- total marbles

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A: Dear student, If you find this solution helpful please upvote ? it. The solution is given below:

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A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

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A:

Q: student randomly grabs 2 socks from her drawer, which contains 11 white socks and 8 black socks.…

A: given data, A student randomly grabs 2 socks from her drawer11- white socks08-black socks19- total…

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A: P(A) = 0.50 P(B)  = 0.32 P(A∩B) = 0.10 P(A|(A∩B)) = ?

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Q: Please explain how the 32 was caculated in the problem? I had the same question and got it wrong

A: as we can see is solution  No. of coins tossed = 5 P(H)=12 and P(T)=12

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A: Method, By using the central limit theorem

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Q: Suppose that the random variable X has density fx (x) = 4x³ for 0 X).

A: Independence of pdf applied.

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A: Given that  Mean = 63.1 kilogram  Standard deviation = 4.8 kilogram

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A: Given:: In a study conducted by the U.S. Department of Health and Human Services, a sample of 546…

Q: 2a) Suppose you are given a discrete random variable X which takes the following values {-1, 1, 2,…

A: Dear student, If you find this solution helpful please upvote it. The solution is given below :

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A: Dear student, If you find this solution helpful please upvote ? it. The solution is given below :

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Q: (a) Pr(X>0), (c) Pr(X2) (d) Pr(X<-4),

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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A: