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Q1) Suppose that standard deck of 52 playing cards is arbitrarily shuffled and first 2 cards are dealt to you. Determine probability that you have blackjack? Blackjack is where one card is an ace and other card is worth 10 points. 10 point cards are Kings, Queens, Jacks and 10's.
Q2) Package delivery service claims that no more than 5% of all packages arrive at address late. Suppose that conditions for binomial hold, if sample of size 10 packages is randomly selected and 5 percent rate holds, wdetermineis the probability that more than 2 packages will be delivered late?
a) 0.0116
b) 0.0105
c) 0.0862
d) 0.0746
Q3) Fares received by taxi drivers working for City Taxi line are normally distributed with mean of $12.50 and standard deviation of $3.25. Based on this information, determinethe probability that specific fare will exceed $15.00?
An independent financial advisor claims an average rate of return, μ, on a particular investment is at least 7%. In testing her claim, the correct pair of hypotheses is:
Calculate correlation coefficient for these sample data.
Use the following data to write the normal equations of the linear regression between Y and X, and find the least squares regression.
Determine following probabilities where Z follows standard Normal distribution?
Find the expected value of the number of tests taken.
In 1,000 samples, assuming that H 0 is true, how many times would you expect to commit Type I error if:
What is the probability that all three students pick exactly the same card?
A sample of eight male professionals has an average yearly salary of $52,165. Find the average yearly salary for the 11 people.
Determine the sample size needed in order to be 99% confident that the sample proportion of the current customer accounts is within .03 of the true proportion of all current accounts for this company.
According to Bienayme-Chebyshev rule, what percentages of these funds are likely to be within ±2 standard deviation of mean?
Both days have sample standard deviations of 3.4. Is the average mean of size different from day 1 to day 2?
Problems on Sampling Variability and Standard Error and Confidence Intervals
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