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A large number of people claim that an alien spacecraft crash-landed in Roswell, New Mexico. Let E be the event that this claim is true and let R be the event that large numbers of people report it to be true.
a. If Pr(R|E) = 1 and Pr(R|~E) = q < 1 find the posterior belief that E is true given R for someone who has a prior belief p
b. Show that the posterior belief is decreasing in q and increasing in p. Explain
c. Show that someone will think that the claim has more than a fifty percent chance of being true if p > q / (1 + q). Explain.
A coin is flipped e times and heads (h) or tails (t) are recorded:
Binomial Distribution: Control Charts this problem will be referred to in the study of control charts. In the binomial probability distribution, let the number of trials be n = 3, and let the probability of success be p = 0.0228.
Determine Probability using exponential distribution.The average time between failures of a laser machine is exponentially distributed with the mean of 40,000 hours.
If we were to ask three people at arbitrary, determine the probability that they will all prefer punk rock?
What is the p-value associated with the sample results? What is your conclusion based on the p- value?
Data is distribution of the most popular colors for 2005 model luxury cars made in North America. Design the pie chart and bar graph for data.
The level of significance indicates the probability of rejecting a false null hypothesis.
Using the .05 significance level, can we conclude that there is a positive association between the two variables?
Explain the effect outliers can have on the analysis of the center of this data set. Based on the box-plot and histogram you created for problem 1, do there appear to be any outliers?
What is the probability that the mean contents of a six-pack are less than 12 ounces and what is the chance I find at most two defectives in the sample
Find the probability that a women develops breast cancer given that she has a family history of breast cancer._____________
Which of the following studies used a participant observer approach?
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