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TWO PERSONS A AND B AGREE TO MEET AT A PLACE BTWEEN 11 TO 12 NOON. THE FIRST ONE TOARRIVE WAITS FOR 20 MIN AND THEN LEAVE. IF THE TIME OF THIR ARRIVAL BE INDEPENDET AND AT RNDOM,THEN THE PROBABILITY THAT A AND B MEET IS[A]1/3 [B]2/3 [C]4/9 [D]5/9 ANSWER: [A]AS THE FIRST PERSON TO ARRIVE WAITS FOR 20 MINUTES N(E)=20TOTAL TIME IS 1 HOUR SO N(S)=60THE OTHER PERSON HAVE TO ARRIVE IN THAT 20 MINUTESTHEREFORE PROBABILITY=20/60=1/3
All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]
Imagine a time in history when the number system had not yet evolved a farmer needed to keep track of his cattle. What would he do to figure out whether his entire rattle returned
Find out the domain of each of the following. (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know
A group of 5 people are going to meet weekly at the library for 4 weeks. Every week, two people are selected at random to speak. Every person may speak in multiple weeks, but no pa
Example: find out the slope of equations and sketch the graph of the line. 2 y - 6x = -2 Solution To get the slope we'll first put this in slope
pythagoras theorem
What is the subset of {a,b,c}
Objectives : After studying this unit, you should be able to : 1. explain the processes involved in counting; 2. explain why the ability to recite number names is no in
Question: Find Fourier series for the periodic function of period 2 π,defined by f(x) = x 4 , - π ≤ x ≤ π
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put i
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