Mathematics, 19.01.2021 16:40 mmaglaya1
Consider a single tossing of x unbiased coins:
a) Find the probability pX(x) of obtaining all heads; [2]
b) If x is regarded as a continuous variable in the range 0 ≤ x < ∞, show
that pX(x), regarded as a function of x and suitably scaled, determines
a probability distribution; [5]
c) Obtain a pdf of this distribution and calculate its cumulant generating
function; [5]
d) Hence or otherwise, show that the mean and variance are 1
ln 2 and
1
(ln 2)2 , respectively. [8]
e) Verify that the coefficient skewness for this distribution is γ3 = 2. [5]
Answers: 3
Mathematics, 21.06.2019 14:30
Ablock of wood is a cube whose side is x in. long. you cut off a 1-inch thick piece from the entire right side. then you cut off a 3-inch thick piece from the entire top of the remaining shape. the volume of the remaining block is 2,002 in3. what are the dimensions of the original block of wood?
Answers: 2
Mathematics, 21.06.2019 21:30
Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.
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Consider a single tossing of x unbiased coins:
a) Find the probability pX(x) of obtaining all heads...
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