Determine the joint distribution
Toss a fair coin till you get HHH or TTT but not more than eight tosses. Let X be the number of tosses and Y be the difference of heads and tails. Determine the joint distribution of X and Y. Also compute the correlation coefficient of X and Y.
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If the account were to remain whole, being passed from generation to generation, for given 350 years, how much would be in account at end of those 350 years?
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The satellite in circular orbit 1250 kilometers above Earth creates one complete revolution every 110 minutes. Determine its linear speed? Suppose that Earth is sphere of radius 6400 kilometers.
Patrick's doll making business has weekly fixed price of $350. If price for materials is $4.70 per doll and his total weekly costs average given $500, about how many dolls Patrick makes each week?
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Consider f(x) = x^2 and find Riemann sum of f over interval [6,8], using given number of subintervals (n). In every case, select representative points to be left endpoints of subintervals.
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