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A certain segment of the sky contains Z starts. Each star is either a red giant with probability 1/3 or a white dwarf with probability 2/3, independently from the other stars.
(a) If we condition on the event {Z=4}, what is the joint p.m.f of the red giants X and the white dwarves Y? Fill in a 5*5 table with the
(f(x,y))from x,y=0 to 4 values
(b) Show that if Z~POI(6), then the random variables X and Y are indipendent and have Poisson distribution by calculating the joint p.m.f of X and Y
jann knows that the average house hold has 2.4 children with a variance of 2.11. her friend elaine has 5 children. jann
A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens?
1. how do correlation coefficients summarize the information in scatter-plot? what do scatter-plots reveal that
Batch has just been completed. Determine probability that first three units manufactured in this batch will contain at least total of 4 defects?
Identify the space of results of an observation of 2 consecutive minutes and identify the probability of certain line be free if in the last minute was free.
mikes game preserve was stocked with 30 moose 25 elk and 45 deer. five years later a sample of animals yields 90 moose
Researchers routinely choose an -level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower -level (e.g. 0.01)?
suppose we were interested in determining if there were differences in the average prices among two local supermarkets.
How could your answer in question (a) change if you knew returns followed a skewed distribution instead of a normal distribution? Explain briefly.
the average magnesium concentratioin in ground water around metro city is mu65.6 parts per million ppm with a standard
one of the issues facing organizations is increasing biodiversity throughout the organization. once of the ways to
All welders in a factory begin as apprentices. Every year the performance of each apprentice is reviewed. Past records indicate that after each review, 10% of the apprentices are promoted to professional welder
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