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Assume that X is normally distributed with a mean of 6 and a standard deviation of 3. Determine the value for x that solves for each of the following.
(a) P(X>x) = 0.95
(b) P(x<X<9) = 0.2
(c) P(3<X<x) = 0.8
The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch.
(a) What is the probability that the strength of a sample is less than 39 lb/in^2
(b) If the specifications require the tensile strength to exceed 29 lb/in^2 , what proportion of the sample is scrapped?
Suppose that X represents time measurements from a gamma distribution with a mean of 4 minutes and a variance of 2 minutes^2.
(a) Find the parameters λ and r.
a weather radar system scans a circular area of radius 45km. the beam rotates 6 complete revolutions in one minute. how
mr. robie owner of the black cat bakery owes 21600 on a 4.5 90 day note. on day 10 he makes a partial payment of 1600.
A major league pitcher can throw a baseball in excess of 48.8 m/s. if a ball is thrown horizontally at this speed, how much will it drop by the time it reaches the catcher who is 15.7 m away from the point of release?
Compute the p-value for the following hypothesis test for the difference between two means with unknown population variances.
according to a portland press herald report the average price of heating oil in maine in january 2012 to be 4.01 per
Explain how you define the nodes xk that represent the dates above - Define a global interpolating polynomial Pr that passes through all data points given for the time of sunrise.
the theoritical probability of undesirable side effects resultiing from taking grebex is 2 in 13. if 260 people take grebex , how many will encounter undesireable side effects.
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
An Introduction to Economics class with 188 students meets in this lecture hall. What is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander?
how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
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