Problem of the Week - Sino Canada School
... selections of three balls from the bag. We must now determine how many of these selections have an odd sum. We could take each of the possibilities, determine the sum and then count the number which produce an odd sum. However, we will present a different method which could be useful in other situat ...
... selections of three balls from the bag. We must now determine how many of these selections have an odd sum. We could take each of the possibilities, determine the sum and then count the number which produce an odd sum. However, we will present a different method which could be useful in other situat ...
PROBABILITY MODELS: FINITELY MANY OUTCOMES
... Probability Rules • Rule 3 (Complement Rule): – The probability that an event does not occur is 1 minus the probability that the event does occur. – The set of outcomes that are not in the event A is called the complement of A, and is denoted by AC. – P(AC) = 1 – P(A). – Example 6: what is the prob ...
... Probability Rules • Rule 3 (Complement Rule): – The probability that an event does not occur is 1 minus the probability that the event does occur. – The set of outcomes that are not in the event A is called the complement of A, and is denoted by AC. – P(AC) = 1 – P(A). – Example 6: what is the prob ...
THE CHEBYSCHEV INEQUALITY Suppose X is a random variable
... Suppose X is a random variable with a well defined expected value, E(X) = µ, and a well defined, positive variance, i.e. E((X − µ)2 ) = σ 2 > 0. The Chebyschev inequality says that in this case, for any positive number k, Prob(|X − µ| ≥ kσ) ≤ ...
... Suppose X is a random variable with a well defined expected value, E(X) = µ, and a well defined, positive variance, i.e. E((X − µ)2 ) = σ 2 > 0. The Chebyschev inequality says that in this case, for any positive number k, Prob(|X − µ| ≥ kσ) ≤ ...
MW.wksht15.04 p.603-607 expected value
... Let x = the number of runs scored when a major league baseball team has a runner on 3rd base with 2 outs (there may also be other runners on base). The probability distribution of x is shown in the table below (total runs scored in the inning from that point forward). ( a ) Calculate the expected va ...
... Let x = the number of runs scored when a major league baseball team has a runner on 3rd base with 2 outs (there may also be other runners on base). The probability distribution of x is shown in the table below (total runs scored in the inning from that point forward). ( a ) Calculate the expected va ...
