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1. You are given the following probabilities P(A) = 0.4, P(B) = 0.25 and you are told the two events are independent. (Hint: Independence is not the same as mutually exclusive (disjoint)).
Calculate P(A OR B) =
2. For a car travelling at 30 miles per hour, the mean stopping distance is 50 feet with a standard deviation is 8 feet, with the stopping distances being normally distributed. What is the probability that a person can stop the car in at most 30 feet, or at least in 70 feet? Let the random variable Y, denoted the distance it takes to stop the car in feet. Show your work using function notation as done in assignment 2, and the PowerPoint presentations. When answering probability questions, write each question in function notation as done in PowerPoints, homework answers, then equal sign, followed by the answer. Draw a graph as well.
a probability-minded despot offers a convicted murderer a final chance to gain his release. the prisoner is given
What is the conclusion based on the hypothesis test? What feature of the confidence interval leads to the same conclusion reached in part (a)
Use MSE = 0.0276 and the summary statistics below to find the Tukey 95% confidence intervals for all pairwise differences. Draw a graph to represent the results.
The correlation between these two variables is 0.49.- Elif's z score for age is 0.82. What would we predict for the z score for the number of hours she studies per week?
If the purchaser of a vanity plate wants his first three positions to be ROY, in how many ways can his request be satisfied?
Croissants take 10 minutes of labor time and 1 minute of oven time. Starbucks can have its labor dedicated for a maximum of 2 hours every day. The oven time is limited to 6 hours during the night. Due to customer requests Starbucks produces at lea..
A random sample of 20 single men was asked if they would welcome a woman taking the initiative in asking for a date. What is the probability that
Find the expected value if the cost of entering this sweepstakes is the cost of a postage stamp. Is it worth entering the contest?
You use the symbol H1 for which hypothesis? What symbol do you use for the chance of committing a Type I error?
The McCollough Corporation, a producer of various kinds of batteries, has been producing D size batteries with a life expectancy of 87 hours.
mileage tests were conducted on a randomly sample of 100 new tires. the avg. tread wear was 50000 miles with standard
The statewide incidence of gonorrhea is 50 per 100,000 over a 3 month period. Is the number of gonorrhea cases in this county unusual for this time period?
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