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Consider binary splitting, that is, the branching process where the distri- bution of Y = the number of children is given by (Y = 2) = 1 - P (Y = 0) = p, 0 < p=""> 1.
However, suppose that p is not known, that p is random, viz., consider the following setup: Assume that P (Y = 2 | P = p) = p, P (Y = 0 | P = p) = 1 - p, with (2x, for 0 x 1,fP (x) = 0, otherwise.
(a) Find the distribution of Y.
(b) Determine the probability of extinction.
Suppose a baseball player had 211 hits in a season. In the given probability distribution, the randon variable X represents the number of hits the player obtained in a game. Compute and interpret the mean of the random variable x.
Explain the difference between testing a single mean and testing the difference between two means. What two assumptions must be met when one is using z test to test differences between two means?
Compute standard normal z-score corresponding to value of x = 23. e. Determine P(x 23). G. Determine P(16
an automobile manufacturer claims that a new car model has a mean city gas mileage of 30 miles per gallon. the
a study of the net sales of a sample of small corporations revealed that the mean net sales is 2.1 million the median
At all times, the urn comprises N balls-some white balls and some black balls. At each stage, coin having probability p, 0
use newtons law of gravitation to compute the work required to launch a 1000-kg satellite vertically to an orbit 1000
in the table below x number of bad checks and px is the p that x bad checks will be passed in a
Four different types of fertilizers are used on raspberry plants. The number of raspberries on each randomly selected plaint is given below.
In a sample of 12 bank tellers at a local branch office, the 7 tellers who have completed the advanced training program offered by the bank have a lower average error rate in the processing of transactions than the remaining 5 tellers.
Below is the number of new cars sold at Sharkey in the last seven months and for the last eight months at Dave White. Do you agree with Mr. Sharkey? Use the .01 significance level."
What is the probability of drawing a red ball on the second draw if the first one is put back in the box after it is drawn?
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