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Assume the speed of a bus on a certain road has an approximately normal distribution with a mean 55 mph and a standard deviation σ=10 mph. What is the probability that buses on this road will be going faster than 70 mph? Tip: Follow the same steps as in #2, but remember: P(z>a) = 1 - P(z<a) Show work.
Wind power. Should you generate electricity with your own personal wind turbine? That depends on whether you have enough wind on your site.
A fair coin is tossed four times and X is number of heads on first three tosses and Y on last three. What is the joint probability mass function of x and y? What is the marginal pmf? Are X and Y independent?
If a random sample of 16 adults is selected, find the probability that the average IQ score in the sample will be at least 92.5.
A southern state has an unemployment rate of 6%. The state conducts monthly surveys in order to track the unemployment rate. In a recent month, a random sample of 700 people showed that 35 were unemployed.
What is the alternative hypothesis for a null hypothesis stating that the average time a person keeps a cell phone is, at most, three years?
Find the lower, middle, and upper quartiles of this data set. Also find the 10th, 15th, and 65th percentiles. What is the interquartile range?
A random sample of 200 workers from Factory A showed that 130 were satisfied with their job. Formulate and test the appropriate hypotheses at the 1% level of significance
Researchers have shown that there is a positive correlation between average fat intake and the breast cancer rate across countries.
Find the probability that General Motors will have the largest market share for SUVs in the coming quarter.- Find the probability that Toyota will have the largest market share for SUVs in the coming quarter.
Calculate the expected value and standard deviation of the number of Ivy League graduates who could fill these positions.
Consider the rollout algorithm for the traveling salesman problem using as base heuristic the nearest neighbor method, whereby we start from some simple path and at each iteration, we add a node that does not close a cycle and minimizes the cost o..
find the mean and standard deviation for the normal distribution where 50 of the data falls between 73.25 and 86.75.
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