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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.
Philadelphia is conducting a study on the characteristics of tourists who drive to Eagles football games. Previous studies indicate that approximately 70% of all game attendees are people who decided to drive from out of town
To report the results of estimation in scientific journals, state the level of confidence, point estimate, and interval estimate of the confidence interval.
The Greek Council is comparing the mean GPAs of four sororities on campus. The GPAs for 10 girls in each sorority are given in the following table. Based on these data, can you conclude that there is a difference between the mean GPAs for these fo..
Show that if Z1 and Z2 are independent standard normal random variables, then for all ρ (correlation), Z 1 and ρZ 1 +sqrt(1-ρ 2 )*Z 2 are standard normal with correlation ρ.
Contracts for two construction jobs are randomly assigned to one or more of three firms, A, B, and C. Let Y1 denote the number of contracts assigned to firm A and Y2 the number of contracts assigned to firm B. Recall that each firm can receive 0, ..
The width of the interval without the finite population correction factor is wider than the confidence interval with the finite population correction factor.
Sample data was collected in a study of calcium supplements and their effects on blood pressure. A placebo group and a calcium group began the study with blood pressure measurement.
By indicating the lower and upper confidence limits for each mean, a graph can convey at a glance the reliability that goes with each point. Calculate a 95 percent confidence interval for each mean.
A hypothesis is being conducted. The p-value was found to be 0.0768. For which of the following levels of significance will the null hypothesis be rejected?
When the level of confidence and the sample size remain the same, a confidence interval for a population mean µ will be wider, when the sample standard deviation s is small than when s is large.
Bivariate data for the quantitative variables x and y are given in the attached. These data are plotted in a scatter plot. Sketch an approximation of at the least-squares regression line for the data.
Consider the use of an op amp with a unity-gain frequency ft in the realization of: (a) An inverting amplifier with dc gain of magnitude K.
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