International Islamic University Islamabad School of Economics

... If Log(x) – Log(3) – Log(2) = Log(3) then x=___________________ If A(x,y)=2x-3y/x, then A(2,1)=___________________ If length of the rectangle is 4 times its width and if its area is 144, what is its perimeter? If 1/a+1/b=1/c, and, ab=c, what is the average of a and b? If 32a+b=16a+2b, then a=_______ ...

... If Log(x) – Log(3) – Log(2) = Log(3) then x=___________________ If A(x,y)=2x-3y/x, then A(2,1)=___________________ If length of the rectangle is 4 times its width and if its area is 144, what is its perimeter? If 1/a+1/b=1/c, and, ab=c, what is the average of a and b? If 32a+b=16a+2b, then a=_______ ...

Actuarial Society of India EXAMINATIONS 14

... Calculate the coefficient of correlation Assuming a linear relationship of the form Y = β 0 + β1 X + error term , Obtain the least squares estimate of β 0 and β 1 . Find the standard error of estimate. Obtain the 95% confidence interval for β1 , stating the assumptions on the error term. In testing ...

... Calculate the coefficient of correlation Assuming a linear relationship of the form Y = β 0 + β1 X + error term , Obtain the least squares estimate of β 0 and β 1 . Find the standard error of estimate. Obtain the 95% confidence interval for β1 , stating the assumptions on the error term. In testing ...

Means and Variances of Random Variables

... Example : Mike’s golf score varies from round to round. ...

... Example : Mike’s golf score varies from round to round. ...

Unit 10

... Final Exam - Chapter 10 Review 1. The cure rate for a particular disease is 78%. What is the probability that at least 8 out of 9 patients is cured? ...

... Final Exam - Chapter 10 Review 1. The cure rate for a particular disease is 78%. What is the probability that at least 8 out of 9 patients is cured? ...

Binomial random variables

... 3. The probability is 0.04 that a person reached on a “cold call” by a telemarketer will make a purchase. If the telemarketer calls 40 people, what is the probability that at least one sale with result? ...

... 3. The probability is 0.04 that a person reached on a “cold call” by a telemarketer will make a purchase. If the telemarketer calls 40 people, what is the probability that at least one sale with result? ...

Recommendation of a Strategy

... Discrete Probability Distributions are a description of probabilistic problem where the values that are observed are contained within predefined values ...

... Discrete Probability Distributions are a description of probabilistic problem where the values that are observed are contained within predefined values ...

In probability theory, the law of large numbers (LLN) is a theorem that describes the result of performing the same experiment a large number of times. According to the law, the average of the results obtained from a large number of trials should be close to the expected value, and will tend to become closer as more trials are performed.The LLN is important because it ""guarantees"" stable long-term results for the averages of some random events. For example, while a casino may lose money in a single spin of the roulette wheel, its earnings will tend towards a predictable percentage over a large number of spins. Any winning streak by a player will eventually be overcome by the parameters of the game. It is important to remember that the LLN only applies (as the name indicates) when a large number of observations are considered. There is no principle that a small number of observations will coincide with the expected value or that a streak of one value will immediately be ""balanced"" by the others (see the gambler's fallacy)