Time to get to know your friendly χ²ₙ random variable. The density function is pretty messy, and best understood after learning about the Gamma RV (take Math 181A!), so here we’ll simply use R to generate values from χ²ₙ using rchisq from the d-p-q-r quartet. Let X ∼ χ²ₙ and Y ∼ χ²ₘ where X and Y are independent.
Consider these three questions:
1) What is E(X)?
2) What is SD(X)?
3) What RV is X+Y?
For each question, write some code that helps you make a guess. Include your code and your conjecture. (Obviously, one could cheat and Google the answers to these questions, but I hope you will not do so given how few opportunities you get in school to form conjectures. Explore and enjoy, as real scholars do.)

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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answer: 5

step-by-step explanation: