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1. Consider the random variable X with the probability mass function p(i)=e-22i/i!
What is P{X=0}?
2. Consider a fair coin. We define the random variable X=0 if the outcome is tail and X=1 if the outcome is head.
What is FX(0)? In other words, what is the CDF at X=0?
3. Consider a fair coin. We define the random variable X=0 if the outcome is tail and X=1 if the outcome is head.
What is FX(1/2)? In other words, what is the CDF at X=1/2?
4. Consider a fair coin. We define the random variable X=0 if the outcome is tail and X=1 if the outcome is head.
What is E[X]?
Let X denote number of students which were on bus carrying this arbitarily selected student. One of the 4 bus drivers is also arbitarily selected. Calculate expectations and variances of X.
Which component of a time series is most likely to occur? Which component has a pattern that must be complete in a single year and repeat from year to year?
Steve then conducts a one-sample t-test on the data, knowing that there is an established mean for the publication of others that have taken this test of 6.
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.
For the events A and B, if (A∩B)' =S (where S, of course, is the sample space), then the events CANNOT be mutually exclusive.??b. In a confidence interval for the difference between n matched pairs of observations, the t-distribution to use is with 2..
in a town 60 of families are known to drive european cars. in a sample of 10 families what is the probability that at
Enter relative proportions of the 3 samples in order (20,50,30) in "Expected values" area.
Carry out an ANOVA and describe in detail in a BPS-formatted Results section:
Established that the relation between age, and weight is somewhat linear. He calculated that the correlation between age and weight is 0.514. Describe the association.
The width of the interval without the finite population correction factor is wider than the confidence interval with the finite population correction factor.
a researcher conducts a hypothesis test to evaluate the effect of a treatment. the hypothesis test produces a z-score
Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.
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