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In a certain school, grade 11 students spend an average 14 hours, with a standard duration of 4 hours, in browsing their favorite social networking sites. The average time spent in a week by grade 11 students browsing their favorite social networking sites is 14 hours with a standard deviation of 4 hours. If a random sample of 35 students is selected, find the mean, variance and standard error of the distribution of all sample means that can be derived from the sample.
What is the temperature difference between 17°c maximum_ 3°c minimum?
A branch of a bank has only one typist since the typing work varies in length the typing rate is randomly distributed approximating a poisson distribution with mean service rate at 8 letters per hour the letters arrive at a rate of 5 per hour during the entire 8 hours work day if the type writer is valued at 2 euros per hour determine
I) equipment utilization
Ii) percent that the arriving letter has to wait
Ii) average system time
iv) average cost due to waiting on the part of the typewriter
Determine the cumulative distribution function for following:(2 Marks) F(x) 0 x < 0 0.2 x 0 <= x < 4 0.04 x + 0.64 4 <= x < 9 1 9 <= x
Suppose f(x) = 1. 5 𝑥 for -1 < x <1. Determine the mean and variance of X
A company uses 100000 units per year which is 30 shillings, carrying costs are 1% per month and ordering cost are 250 per order
I) what is the EOQ
Ii) what is the length of the order cycle
III) what is the cost of having stock annually
iv) what would the EOQ be if the compy make the items themselves on a machine with a potential capacity of 600000 units per year
The fixed cost of a company is 35000 and the variable cost per unit is 500 and the revenue function for sale is X units is given by R(x)=5000X-100X2
I) find the profit function
Ii) break even values
III)the values of X which results in a loss
Maximize Z=80X1+120X2
Subject to X1+X2<9
20X1+50X2<360
X1>2
X2>3
X1+X2>0
The demand function is Q=280000-400p
Where Q equals the number of units demanded and p equals the price in dollars of the total cost of producing Q units of the product is estimated by the function
C=350000+300q+0.0015q2
I) how many units should Q produce in order to maximize its annual profit
Ii) what price should be charged
III) determine the annual profit expected
Solve the following using matrix algebra
2X+Y-Z=5
3X-2Y+2Z=-3
X-3Y-3Z=-2
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