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In a lot of Tv manufactured,each tv checked and found Avg.defect per tv =4,w hat is the possibilities of maximum defect in any tv?
Question 1 The weight of a package delivered by a courier company is normally distributed with mean 15 kg and standard deviation 1.75 kg.
(a) There are 9% of the packages weigh heavier than w kg. Find the value of w. (4 marks)
(b) Suppose the shipping fee set by the courier company is $150 basic charge, together with an additional charge of $16 per kg of the package. Find the following summary statistics of the shipping fee: (I) Mean (II) Standard deviation (III) Variance (IV) Median (V) 91st percentile (6 marks)
How many students are offering both biology and chemistry,if only 70 students are offering neither biology or chemistry.
A. A company calculates its expected profits as a function of the quantity of the items it can sell. How much are their expected profits if the company’s profit function is P(q)=q³−2000q+500 and their current sales quantity, q, is 60?
[D] y''-25y=0; y1=e^5x the indicated function y1(x) is a solution of the given differential eqution.Use reduction of order or formula as instructed, to find a second solution y2(x).
The marketing department of Spager Ltd estimated that if the selling price of product is set at $15 per unit then the sales will be 50 units per week, while, if the selling price is set at $20 per unit, the sales will be 30 units per week. Assume that the graph of this function is linear. The production department estimates that the variable cost will be $5 per unit and that the fixed cost will be $50 per week, and special cost are estimated as $0.125x2, where x is the quantity of output. All production is sold.
(a) Show that the relationship between price (Pr) and quantity sold (x) , are given by the equation Pr = 27.5 - 0.25x.
(b) Find the revenue function, R.
(c) Find the total cost function (C).
(d) Advise the company on production and pricing policy if it wishes to maximize profits, and find the maximum profit.
[C] Find the Wronskian of the following functions and determine whether it is linearly dependent or linearly independent on (-∞,∞).
- {x2, x+1, x-3} ans, W=8, linearly independent
- {3e2x, e2x} ans, W=0, linearly dependent
- {x2, x3, x4} ans, W=2x^6, linearly independent
A person has 8 children of them he takes 3 at a time to a circus. He does not take
the same three children twice to the circus. How many times he will have to go
to circus to ensure that every three children have seen the circus together? In
this case find the number of times a particular child has visited the circus.
From 8 men and 4 women and team of 5 is to be formed. In how many ways can
this be done so as to include at least one woman?
group of 30 people have been trained as astronauts to go on the first mission
to Mars. How many ways are there to select a crew of six people to go on this
mission (assuming that all crew members have the same job)?
In how many ways can 20 students out of a class of 32 be chosen to attend class
on a late Thursday afternoon (and take notes for the others) if
(a) Paul refuses to go to class?
(b) Michelle insists on going?
(c) Jim and Michelle insist on going?
(d) either Jim or Michelle (or both) go to class?
(e) just one of Jim and Michelle attend?
(f) Paul and Michelle refuse to attend class together?
