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1. A fencer attends a fencing tournament. To ensure the equipment works well, he takes three blades. Two of them will be the backup. The probability of his three blades to function properly are 0.95, 0.8, 0.7 respectively.
A) Find the probability that the fencer finishes the tournament with at leaset one working blade?
B) Find the probability that the fencer has one and only one working blade during the tournament?
2. An insurance e company issues life insurance policy in three categories: stan- ard preferred and ultra - preferred. Of the company's policyholders 50 % are standard, 30% are preferred and 20% are ultra-preferred. Each standard policyholder has proba-bility 0.010 of dying in the next year, each preferred policyholder has probability 0.005 of dying in the next year, and each ultra-preferred policyholder has probability 0.001 of dying in the next year.
A policyholder dies in the next year.
Calculate the probability that the deceased policyholder was ultra-preferred.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
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MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
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Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
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