Emily has a coin with P(H) = pi and Pete has a coin with P(H) = P2. Emily tosses her coin n times, and denote the number of head
s by X. Now Pete tosses his coin X times. What should be the distribution of the number of heads that Pete gets? Try to answer this question from two different approaches.
(a) Answer this question by constructing suitable binomial experiments.
(b) Answer this question by direct calculation. This is a challenging task. Hint: Try to use the binomial expansion xkym-k = (x + y)", k k=o. which holds for ALL positive integers m and real numbers x, y.
(a) Answer this question by constructing suitable binomial experiments.
(b) Answer this question by direct calculation. This is a challenging task. Hint: Try to use the binomial expansion xkym-k = (x + y)", k k=o. which holds for ALL positive integers m and real numbers x, y.
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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.
To solve our given problem, we will divide total volume of wax by volume of one candle.
Volume of each candle will be equal to volume of sphere.
, where r represents radius of sphere.
We know that radius is half the diameter, so radius of each candle will be cm.
Now we will divide 70,650 cubic cm of wax by volume of one candle.
Therefore, 40 candles can be made from 70,650 cubic cm of wax.