2. Let X be a random variable having p.d.f.fx(x) = cx²,For the following parts, your answers should be explicit values. The constant c should not showup in your solutions.(a) Find the probability P(|X| > 1).(b) Find E(X) and Var(X).-2

Given density function: fx=cx2, -2<x<2 c value: ∫-22fxdx=1 from the total probability…

Answered: Let X be a random variable having…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider a tack like the one pictured below. When dropped on a table, the tack can land either point down or point up. Suppose we assume that P(tack lands point down) = 0.40. Which of the following must be true? (A) If the tack is dropped 50 times and lands point down only 10 times, then it must land point down more than 40% of the time in the next 50 drops. (B) If the tack is dropped on a table 10 times, it will land point down 4 times. (C) If the tack is dropped on a table 1,000,000 times, it will land point down 400,000 times. (D) Over many tack drops, the proportion that land point down will be very close to 0.40. (E) The tack landed point down twice in a simple random sample of 5 people who dropped it on a table.
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Last week Tim got a score of X = 54 on a math exam with μ = 60 and σ = 8. He also got X = 49 onan English exam with μ = 55 and σ = 3, and he got X = 31 on a psychology exam with μ = 37 and σ= 4. For which class should Tim expect the best grade?
If the animal is in the woods on one observation, then it is three times as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is as likely to be in the meadows as the woods on the next observation. Assume that state 1 is being in the meadows and that state 2 is being in the woods. P = 0.5 0.5 0.25 0.75 (2) If the animal is twice as likely to be in the meadows as in the woods, find the state vector X that represents this information? X = [ , ]? Using the state vector determined in the preceding part as the initial state vector, find the probability that the animal is in the meadow on the third observation after the initial one
Show all work. Solve using R.
I ONLY NEED HELP ON D and E thank you
Can someone please help me with this? ASAP??!!!
A researcher takes a sample of 40 introverts and 40 extroverts and asks them to solve problems in either a crowded room or an uncrowded room. The researcher measures the number of problems solved (numbers can range from 0 problems solved to 25 problems solved). Here are the results Crowded Room Uncrowded Room Introverts M = 12 M = 18 Extroverts M = 18 M = 12 Does there appear to be a main effect of room? Does there appear to be a main effect of personality (introversion/extraversion)? Does there appear to be an interaction between room and personality?
I got the right calculations for p(x=0) and p(x=1) but I can’t seem to get 2,3, and 4 even though I’m using the same steps. Can you please show me where I’m making an error. Thank you!
if n(E1 and E2)=4 and n(e1)=12 then p(E2|E1)=
Which combination would lead you to Reject H₂? a = .05 p-value = .045 a = .01 p-value = .059 O a = .05 p-value = .059 O a = .01 p-value = .045

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Let X be a random variable having p.d.f. fx(x) = cx², -2 < x < 2. For the following parts, your answers should be explicit values. The constant c sh up in your solutions.