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State Tech's basketball team, the Fighting Logarithms, have a 70% foul-shooting percentage. Write a formula for the exact probability that out of their next one hundred free throws, they will make b
You are captured by a Russian spy and tortured for information. Every time you fail to answer his question adequately, he plays the following game: First, he draws a number randomly between 1 and 4
A standard deck of playing cards contains 52 cards divided equally into four suits: Spades, Hearts, Diamonds, and Clubs. Each suit contains thirteen cards: 2, 3, 4, 5, 6, 7, 8, 9, 10, J(ack), Q(uee
Let X and Y be continuous random variables with the joint probability density function:
The waiting time for an incoming call at the front desk of a sales store has an exponential distribution. During business hours the average of the waiting times is 10 minutes.
What is the probability that the dealer busts? You may assume that the dealer is usign only 1 deck, and that you have not observed the values of any other cards.
A sample of 235 students found that 18% had a GPA greater than 2.89. The population from which the sample was drawn is approximately normally distributed. Construct the 95% confidence interval for
If the risk of a certain disease for non-alcoholics is 7 % and the relative risk for this disease in alcoholics versus non-alcoholics is 4.2. We can conclude that the risk of the disease for an alc
Let y be a random number with probability density function g(y)=0.5*sin(y) where π≥y≥0. Generate 1000 y's. If n(k) represents the number of y's such that kπ*0.1>y≥ (k-1)π*0.1, plo
An SRS of n=36 with xbar=46.5. Does this observation provide strong evidence that the patient in the sample are different from the population.
When analysis of data reveals a difference between levels of a factor, what is this called?
Let y be a random variable with probability density function g(y)=0.5*sin(y) where π ≥ y ≥ 0. Let x be a random variable uniformly distributed in the interval: [0 1]. Express y in terms of
The critical value, z*, used for constructing a 96% confidence interval for a population mean µ is
The received signal of a communication system r = s + N . Here, s is source information and takes the value of 1 or -1. N is the noise uniformly distributed in the interval of [-x +x]. a) If x is
Suppose we select an SRS of size n = 100 from a large population having proportion p of successes. Let X be the number of successes in the sample. For which value of p would it be safe to assume the
Let wI be the power received by the mobile at distance "I" from the base station. The probability distribution of the power at distance "I" is p(wI) = exp(-wI/mI )/mI where mI is the mean. Assume
In a normal distribution with mean =50 and a standard deviation =10, what is the probability of randomly sampling a subject who scores:
A teacher believes that the class scores on a final examination should be approximately normal distributed. If this belief is correct, what proportion of the class should fall at or below the follow
Create a hypothesis test to determine whether or not this die is fair. Be sure to be very clear about what your null hypothesis is, the alternative hypothesis, the assumed distribution of your varia
When 12 bolts are tested for hardness, their indexes have a standard deviation of 41.7. Test the claim that the standard deviation of the hardness indexes for all the such bolts is greater than 30.
There are 8 CDs in a rack: 5 are jazz and 3 are classic rock. Two CDs are selected at random, one after the other with replacement, and the type of each is noted. Find the probabilty that the first
Consumers choices are prey to subtle discrepancies that arise in cognitive accounting. Learning how and when you are prey to these discrepancies is an important step in improving your decision makin
What is the covariance between the two total scores X1+X2 and Y1+Y2?
Review the following information from the article "A Cost-Benefit Analysis of the New Orleans Flood Protection System" by Stéphane Hallegatte (2005):