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A driver encounters two traffic lights on the way to work each morning. Each light is either red, yellow, or green. The probabilities of the various combinations of colors is given in the followingtable:Second light
First Light R Y G
R 0.30 0.04 0.16Y 0.05 0.01 0.04G 0.15 0.05 0.20a. What is the probability the first light is red?b. What is the probability that the second light is green?c. Find the probability that both lights are the same color.d. Given that the first light is red, find the probability that the second light is green.e. Given that the second light is yellow, find the probability that the first light was red.
Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.
What would you do if supply exceeded demand? What if demand exceeded supply?
Using the SOA illustrative life table, with interest rate at 9.18% per year, calculate the expected present value of this benefit.
Probability : Combinations, Mr james just won 6 tickets for each of 2 consecutive Giants home football games. For the first game, Mrs James will not be able to attend so he has 5 extra tickets.
Determine what the Singleton bound, the sphere-packing bound and the Varshamor-Gilbert bound say about the maximum number of information bits that codewords with ten check bits can have if the codewords are protected from 3 or fewer errors.
The monthly incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. find the probability that a randomly selected employee earns less than $900 a month.
Trigonometric formulas and identities.
Find the critical points of the following functions and determine whether they are local maximums, minimums or otherwise using the second derivative test.
A restaurant manager has 2 liters of white wine that is 12% alcohol. How many liters of grape juice should he add to get a drink that is 10% alcohol?
Conduct a literature and internet search for information on the Truth-in-Lending Law. Discuss your findings in terms of what the law pertains to and how it is applied.
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function w..
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