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Probabilities
A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
Reason for Application
Quality Cost Other Totals
Full time 421 393 76 890Part time 821 986 122 1929
Letting A be the event that a student is full time and let B the event that the student lists school cost as the first reason for applying.
a. Calculate P(B)b. Calculate P(B|A)c. Are A and B independents and I need to justify the answer
Test for population mean
Show the mass as triple integral and solve the integral using spherical polar coordinate and Use the spherical coordinate integral to evaluate
The fair price to play the game. A person spins the pointer and is awarded the amount indicated by the pointer. The wheel has three amounts to win
Probability that Lounging Larry wins the horse race. The odds against Lounging Larry winning the horse race are 5:12.
Find the rate of change.
Probability of cycle time, The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 60 minutes
Population growth rate
A random sample of 48 days taken at a large hospital shows that averages of 38 patients were treated in the emergency room per day. The standard deviation for the population is four. Determine the 99% confidence interval of the mean number of patient..
Compute the p-value for the following hypothesis test for the difference between two means with unknown population variances.
Simplify the group as a finitely generated abelian group.
Use z score to solve the probability. Fluctuation in the prices of precious metals such as gold have been empirically shown to be well approximated by a normal distribution when observed over short interval of time.
Solving differential equations with initial conditions - Sketch a graph of the rate of change and solution and Describe your results in words.
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