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RANDOM VARIABLE
A variable which assumes different numerical values as a result of random experiments or random occurrences is known as a random variable.
The rainfall measured in centimeters on each day of the monsoon season, the maximum temperature of each day for a city, the number of passengers traveling by train from Delhi to Mumbai everyday and the number of patients seen by a doctor each day are all examples of random variables. That is, the values assumed by these variables on each day would be random and cannot be accurately predicted. The prices of a share in a perfectly efficient market are supposed to follow a random walk in which the current price is totally independent of the price changes occurring in the past. Hence, previous price patterns cannot be used to predict the future prices.
If the random variable can assume any value within a given range, it is called a continuous random variable. On the other hand, if the random variable can assume only a limited number of values, it is called a discrete random variable. In examples cited in the previous para, rainfall and maximum temperature are examples of continuous random variables as they can register a wide variety of values within a given range. For instance, where the temperature is being measured in Celsius, within a range of 29oC to 30oC, the temperature could assume such values as 29.4oC, 29.75oC, 29.87oC. The number of persons traveling from Delhi to Mumbai everyday and the number of patients seen by a doctor each day are examples of discrete random variables as these values could only be whole numbers. You cannot have 353.5 persons traveling or 18.7 patients visiting the doctor.
If the p th , q th & r th term of an AP is x, y and z respectively, show that x(q-r) + y(r-p) + z(p-q) = 0 Ans: p th term ⇒ x = A + (p-1) D q th term ⇒ y = A + (
Adding Equally Sized Groups: Once children have had enough practice of making groups of equal size, you can ask them to add some of these equal groups. They can now begin to atte
multiply 9/19 times 95/7
IN THIS WE HAVE TO ADD THE PROBABILITY of 3 and 5 occuring separtely and subtract prob. of 3 and 5 occuring together therefore p=(166+100-33)/500=233/500=0.466
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A pair of mittens has been discounted 12.5%. The original price of the mittens was $10. What is the new price? Find 12.5% of $10 and subtract it from $10. Find out 12.5% of $10
If sec A = x+i/x, prove that sec A + tan A = 2x or 1/2x
if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3
If coefficients of the equation ax 2 + bx + c = 0, a ¹ 0 are real and roots of the equation are non-real complex and a + c (A) 4a + c > 2b (B) 4a + c Please give t
The base of an isosceles triangle and the altitude drawn from one of the congruent sides are equal to 18cm and 15cm, respectively. Find the lengths of the sides of the triangle.
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