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A farmer loses $50,000 when the summer is too dry and makes $100,000 when the growing season is moderate. The probability of the growing season being too dry is 35%. What is the expectation for profit?
An urn contains w white chips, b black chips, and r red chips. The chips are drawn out at random, one at a time, with replacement. What is the probability that a white appears before a red?
What is the probability that a fish is *exactly*, *precisely* to any level of accuracy or measurement, 12.0 inches long?
Let be the average of the pay you receive for the first and second week. Find the sampling distribution
Uniformly distributed in the interval -0.5 cents to 0.5 cents. What is the probability that the round-off error exceeds 0.3 cents or is less than -0.3 cents?
A manufacturing process makes items whose weights are normally distributed. It is known that 22.57% of all the items made weigh between 100 grams up to mean and 49.18% weigh from the mean up to 190 grams. Find out the standard deviation.
To determine whether two categorical variables are independent, one should use the:
Identify a real-life example or application of either the binomial or Poisson distribution. Specify how the conditions for that distribution are met.
When assigning probabilities of two simple events, can we assume that each event is always equally likely to occur and, thus assign .5 to each event?
Find the LCD for the given rational expression, and convert each into an equivalent rational expression with the LCD as the denominator.
Mention the experimental outcomes. Illustrate out a random variable threat that represents the number of heads occurring on the two tosses.
A pilot survey revealed that 5 of the 50 sampled hold two or more jobs. How many in the workforce should be interviewed to meet your requirements?
The random variables X and Y each take values -1 and 1, and p(X=1)=a, P(Y=1)=b. Suppose Z=XY and that X, Y and Z are pairwise independent. What are the values of a and b? are {X,Y,Z} independent?
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