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Hummingbirds Let x be a random variable that represents the incubation time for Allen hummingbird eggs. The x distribution has a mean of µ = 16 days. Let us assume that the standard deviation is approximately σ = 2 days. The distribution of x values is more or less mound shaped and symmetrical but not necessarily normal. Suppose we have n = 30 eggs in an incubator. Let x be the average incubation time for these eggs.
(a) What can we say about the probability distribution of x? Is it approximately normal? What are the mean and standard deviation?
(b) What is the probability that x is between 16 and 17 days?
(c) What is the probability that x is less than 15 days?
a) Find the marginal density of Y. b) Find E(X) HINT: What is E (X|Y=y) ?
Assume the arrival of these emails i3 approximated by the Poisson distribution.
Prepare the confidence interval of 95% for the welders' proportion that graduated in the school of welding.
Find out 90% confidence interval for mean grade of all the students in the class.
Similar survey of student population 10 years ago found that coffee shop was favoured by 20% of students, and pizza and hamburger were each preferred by 40% of the students. Determine the expected frequencies for chi-square test.
Muscular dystrophy is an incurable muscle-wasting disease. The most common and serious type, called DMD, is caused by a sex-linked recessive mutation. Specifically; women can be carriers but do not get the disease; a son of a carrier has probabili..
An experiment consists of flipping the fair coin three times and noting the number of heads and tails. A random variable x is defined to be two times the number of heads plus the number of tails.
Construct a probability for the number of students in the sample who watch soap operas.
Evolutionary theories often, Emphasize that humans have adapted to their physical environment. One such theory hypothesis that:
The machine will stop working if more than three components fail. Find the probability that the machine will be working.
Compute a 5-month moving average forecast for June through January.
The management of a regional bus line thought its cost of gas might be correlated with its passenger/mile ratio. Comment on the data and correlation matrix below.
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