4.2P The effectiveness of solar-energy heating units depends on the amount of radiation available from the sun. For a typical October, daily total solar radiation in Tampa, Florida, approximately follows the probability density function given below (units are hundreds of calories): ;(x – 2)(6 – x) 2

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Q: 1. A bag of jelly beans contains 10 red, 6 green, 7 yellow, and 5 orange jelly beans. What is the…

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Q: Show V(X)

A: The joint probability mass function of X and Y is  f(x,y)=(x+y)/21   , x=1,2,3 and y=1,2

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A: Taking n = 1, we have: f: R-> R   If X and Y are discrete, then we have: PY( y) = ∑x:f(x)=yPX(x)…

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Q: 6 A factory produces bars of chocolate that follow a Normal Distribution with a mean weight of 70g…

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A: X~Normal(μ = 7.93 , ? = 0.8)  n=40 , μ = 7.93 , ? = 0.8

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Q: A. Estimate the probability that the temperature will be within ±2°C of the mean value B. Quantify a…

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Q: Show E(XY)

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Q: 31. Find the probability of drawing a king or queen from a standard deck of cards. (ME or NME) *

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A: Here it is without replacement model so use hypergeometric distribution

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Q: Studies show that historically a certain city is hit by a tornado about once every 5 years. What is…

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Q: Write the Sample space, outcome or event of the ff: 4. Arranging the possible children of a couple…

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Q: a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3).

A: NOTE : here as per guidelines i have calculated 3 subparts    here given joint distribution of x and…

Q: A bag contains 4 black counters and n white counters. Two counters are taken from the bag at random…

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A: here given, n = 276,  x = no of success  = 162  sample proportion  = p ^ = 162276 = 0.586956 = 0.59…

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Q: If x-Exp(5), then M,(t) is O 1 ul (1 – 5t)-1 الخيار 2 t.

A: Given that  X~Exp(5)  Find Mx(t)

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