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1. A survey of 250 lobster fisherman found that they catch an average of 32 pounds of lobster per day with a standard dev of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds?
2. The standard deviation of a distribution is 20. If a sample of 225 is selected, what is the standard error of the mean?
Linear equations provide information on how quickly data are rising or falling, known as the slope of the equation. Find a real-world application of a linear equation and discuss the meaning of the equation.
The number of days off taken by 30 police detectives in a given year is provided below. Develop appropriate intervals and create a histogram for the data.
What interest rate would he need to make his goal come true.
Poisson Distribution: Birth-Death Process. The McDougal Sandwich Shop has two windows available for serving customers, who arrive at a Poisson rate of 40/hr. Service time is exponentially distributed with a mean of 2 min.
but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
A computer manufacturer assigns serial numbers to its computers. The first symbol of a serial number is either A, B, or C, indicating the manufacturing plant. The second and third symbols taken together are one of the numbers 01, 02,...,12, indica..
The trough is full of water (density 1000 kg/m^3 ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8 m/s^2 as the acceleration due to gravity.)
a rectangle carpet has a perimeter of 246 inches. the length of the carpet is 89 inches more than the width. what are the dimensions of the carpet?
A stone is tossed vertically upward with an initial velocity of 30 ft/s from the top of a 40 ft building. What is the height of the stone after 0.21 s?
The natural length of a spring is 10 cm. A force of 25 N stretches it to a length of 20cm. How much work, in units of N-cm, is done in stretching it from a length of 10cm to a length of 15cm?
Kelly Fisher invested a total of $20,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives from the bonds in a year is $1480, how much did she invest in ..
They decide to take out a life insurance policy that will pay $10,000 if either one dies during the next 5 years and $15,000 if both die during that time. How much should they be willing to pay for this policy? (Assume that their life spans are in..
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