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Which of the following is the complete set of numbers for which the function f(x) = 3x^3-6x^2 is convex?
a. x is less than or equal to 0
b. x is greater than or equal to 0
c. x is less than or equal to 1
d. x is greater than or equal to 1
e. none of the above
Calculate the simple linear regression equation
What proportion of time does Dr. Smith eat a home lunch? d. If Taco Bell costs $3 and a home lunch costs $1 and the Springdale room is free, then how much lunch budget should he allow for his semester, which includes 100 lunches?
Determine the probability without replacement
Find the test value for two population variances
Two balls are drawn (without replacement) from an urn that contains four red balls, five green balls, and seven white balls
What is the variance of the binomial distribution of voters supporting a particular referendum? In a survey, 80% of the voters support a particular referendum. If 20 voters are chosen at random
What is the prior probabilty that she will complete the degree, Given that she scores 575 on the GMAT test, what is posterior probability that she will complete her MBA
Apply Chi Square test of independence to test whether there exists any association between two variables.
Permutation and combination
Empirical Probability - Coin Toss. Use the empirical method to estimate the probability. You count 42 heads when you toss a coin 100 times
Use Excel to perform polynomial interpolation on the given data and try to figure out the degree of the polynomial mathematically - perform polynomial interpolation on the following data.
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.
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