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Suppose we roll three fair six-sided dice. Compute the conditional probability that the first die shows 4, given that the sum of the three numbers showing is 12.
Statistics and Probability, Statistics
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1940 randomly selected adults were asked if they think they are financially better off than their parents. The following table gives the two-way classification of the responses based on the education levels of the person ...
In a study comparing response rates between treated and non-treated subjects, 60% of subjects are observed to have both responded and been treated. If we also know that a randomization ratio of 2:1 was used (e.g. twice a ...
The commissioner of the state police is reported as saying that about 10% of reported auto thefts involve owners whose cars haven't really been stolen. What null and alternative hypotheses would be appropriate in evaluat ...
A manufacture claims that the life span of its tires is 52,000 miles. You work for a consumer protection agency and you are testing these tires. Assume the life spans of these tires are normally distributed. You select 1 ...
The weights of ice cream cartons are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.5 ounces. You randomly select 25 cartons. What is the probability that their mean weight is greater ...
Consider the probability distribution shown below. x 0 1 2 P(x) 0.65 0.30 0.05 Compute the expected value of the distribution. Compute the standard deviation of the distribution. (Round your answer to four decimal places ...
You are considering an investment in a 40-year security. The security will pay $25 a year at the end of each of the first three years. The security will then pay $30 a year at the end of each of the next 20 years. The no ...
Suppose a sampling space has things a, b, and c. Twice draw from the sample space and replace. The possible sequence formed are {aa,ab,ac,ba,bb,bc,cacb,cc}. Now suppose there are Y different things. There are Y ways the ...
One hundred twenty-five marine recruits participated in a study to assess the benefits of a strength training program. Each recruit was given a push-up test at the beginning and end of the program. The change in number o ...
The bold and italics portion is as far as I've gotten with the equation. Help me finish? And am I on the right track? A survey showed that 1200 of the 1600 adult respondents believe in global warming. (a) Construct a 95% ...
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