Difference of heads and tails
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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Assume the wieght of mints are normally distributed. Throughout the Friday night shift, 28 mints were selected at the random from a production line. They had average weight of 21.45 grams and the sample variance is 0.0961. Determine the 90% Confid
In doing market research for the candy company, John find that 1054 of 1220 randomly chose person like dark chocolate. Based this result, determine a 90% lower bound estimate of the percentage of all people who like dark chocolate.
How much of the ice melted and how much remained the floating in the beverage? Suppose the specific heat capacity of tea is the same as that of pure water. Three 45-g ice cubes at 0 °C are dropped into the 5.00 102 mL of tea to make ice tea.
A quality engineer wanted to be 98% confident that maximum error of the estimated of the mean strength of the hinge is 0.25. Assume the strength of hinge is normally distributed with s.d. = 1.723.
Assume monic (leading coefficient 1) cubic polynomial function f(x)=x^3+bx^2+cx+d has zeros r1, r2, r3. Write polynomial factored form and multiply factors. Write relationships between coefficients of every form of polynomial.
A sample which is having 0.692-g of glucose, C6H12O6, is burned in a constant volume calorimeter. The temperature rises from the 21.70 °C to 25.22 °C.
Rabbit population doubles every 3 months and originally starts with 50 rabbits. How many rabbits will there be after r years and when will 1000000 rabbits be present?
Let U be the geometric random variable with p=.3, V be a geometric random variable with p=.2, X be a geometric random variable with p=.5, Y be a geometric random variable with p=.4. Let U, V, X, Y be independent and W=U+V+Y+X. Find P(W=k) for k=6,
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