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Probability1. A cube has all 6 sides painted blue; this cube is then cut into 64 equal cubes. What is the probability, Pn where n = 1, 2, 3, that a little cube (one of the 64) picked at random will have n painted faces?
2. A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
Please give a complete answer with explanations.
A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
Find the number of ways to get following card combinations
In your opinion, is a transformation needed? Explain your response. If you believe a transformation is needed, conduct the transformation.
Predict the sales price for 30 year old customer, who has a $40000 income and a 7 year old car.
Solving linear programming problem.
Calculate the value of the sample test statistic
Evaluate the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.
Important information about Mathematics - Poisson Distribution, Metal plates are inspected regularly for flaws and average 2 flaws per square yard. Assume a Poisson process is applicable and calculate the probability of getting
Change into symbolic notation - Roses are red and violets are blue
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Expected Value : key informaiton, After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and loose $3 million if not
Probability - independence of 2 events. Prove that if A and B are independent events in a probability space, then the events A^c and B^c are also independent.
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