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A graduate course has 3 biology students and 4 chemistry students. A sample of 2 students is randomly selected from this class to form a committee. Let X denote the number of biology students who were selected.
1. What are the possible values of X?
2. For each possible value of X, determine its probability.
3. Present the distribution law (the probability mass function) of the random variable X as a table.
4. Depict the probability mass function of X as a bar graph.
5. Calculate the mathematical expectation of X.
6. Calculate the variance of X and the standard deviation of X.
7. Calculate the cumulative distribution function of X.
Considering the following data using weighted moving average (4 quarters; 0.4, 0.3, 0.2, and 0.1; where 0.5 is the weight for the most recent quarter)Calculate Mean Absolute Deviation.
The J.O. supplies company buys calculators the probability of a defective calculator is 10%. If 100 calculators are selected at random, what is the expected number of defective?
A committe studying employer-employee relations proposed that a rating system be adopted. Each employee would rate his or her inmediate supervisor and in turn the supervisor would rate each employee.
a local health center noted that in a sample of 400 patients 80 were referred to them by the local hospital.a. provide
The probability that an American CEO can transact business in a foreign language is 0.2. Ten American CEO's are chosen at random. b) what is the probability that at least two can transact business in a foreign language?
Construct and interpret a 90% confidence interval to estimate the mean fuel savings in the population of all such vehicles.
Explain the difference between a left-tailed, two-tailed, and right-tailed test. When would we choose a two-tailed test? How can we tell the direction of the test by looking at a pair of hypothesis?
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a researcher decides to test her hypothesis that some toys are more fun to play with than others so she decides to
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please write 50words on what the diagnosis is likely to be if a patient complains of one ankle and part of one foot
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