Bivariate normal distribution with parameters
Let the continuous random variables X and Y follow a bivariate normal distribution with parameters
μx=3, μy = 1, σ2x=16, σ2y=4 and ρ=1/2. Find the probability that X falls between 1 and 4 given that Y equals 2.
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Determine and equation of form y = asinwt which provides distance of the mass from its rest position as the function of time.
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One thousand raffle tickets are sold for $2.00 each. One grand prize of $700 and two prizes of $100 each will be awarded. Tim buys one ticket. Determine the expected value.
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Let the continuous random variables X and Y follow a bivariate normal distribution with parameters. μx=3, μy = 1, σ2x=16, σ2y=4 and ρ=1/2. Find the probability that X falls between 1 and 4 given that Y equals 2.
A new chairman wants the 5 labor unions to take a wage cute. Assume there is a .7 probability that a union will reject a wage cut and that the decisions are independent of each other. Determine the probability that
Draw the graph of function f(x)= 2 cos 3x over interval (0, 2π) and find points where function reaches its local maximum and local minimum within above interval.
Let X be the number of heads obtained in 5 tosses of a fair coin. Let -∞<t<∞ and define g(X)=e^tx. M(t)=E(e^tx)=Sg(x)f(x)=(x=5 above)Σ(x=0 below)= (5 choose x) ((1/2)^5)(e^tx)
On what day is there most daylight and least and how much daylight is there on the days? Determine the period of the function?
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