Bissoy.com
Doctors Medicines MCQs Q&A

If the exit age distribution is given as δ(t – 4), then \(\int_0^∞\) t2 E(t)dt is ____

If the exit age distribution is given as δ(t – 4), then \(\int_0^∞\) t2 E(t)dt is ____ Correct Answer 16

Exit age distribution is represented by dirac delta function. \(\int_0^∞\) δ(t-τ)f(t)dt = f(τ). Hence, \(\int_0^∞\) t2 E(t)dt = 42 = 16.

Related Questions

Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. Akash’s present age is six years less than Badshah’s age after nine years. The ratio of present age of Badshahand RAFTAAR is 5:9. Raftaar is 21 years younger than Denny and Denny is three years older than Honey. Square of the Honey’s present age is 1350 more than 15 times of Honey’s present age? Quantity A: What is the difference between AKASH’s present age and HONEY’s age after 16 years? Quantity B: After 6 years Mankirat’s age is twice that of Akash’s present age. Diljeet’s present age is 3.5 times of 25% of sum of present age of Mankirat and A. What is the present age of Diljeet? Quantity C: Twice of A’s present age is eight years more than that of Babbu’spresent age, then find the Babbu’s present age?
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. What is the ratio of the age of A to that B? I. Sum of the age of A, B and C is 15. C is the eldest whereas A is the youngest. Age of A is more than 3 years. No two of three are of the same age. II. Difference between the age of B and C is 2. Sum of age of A and C is 12 III. Different between age of A and D is equal to the different between the ages of D and C. Age of D is 30. Age of A > D > B.
Quantity I: The average age of a cricket team of 11 players is x years. After three years, four players leave the team and four new players join in place of them then the current average age becomes (x + 2) years. The current average age of the players who left the team was 18 years then find the average of the current age of the 4 new joiners? Quantity II: In a group of 6 students, the average age of the 5 youngest students is 12 years and the average age of the 5 oldest students is 15 years. What is the average age of all the students? (it is given that the age of them is in arithmetic progression)?
If 6 years are subtracted from the present age of Ayush and takes 25% of that then we get the present age of his only son. 4 years ago, his daughters age is 7 years more than his son. Sum of daughters present age and his wifes present age is 10 years more than Ayushs present age then find the present age of Ayush if average of present age of entire family is 30.25 yr?
The age distribution of 40 children is as follows: Age (in years)  5 – 6   6 – 7   7 – 8   8 – 9   9 – 10   10 – 11   Number of children  4 7 9 12 6 2   Consider the following statements in respect of the above frequency distribution: 1. The median of the age distribution is 7 years 2. 70% of the children are in the age group 6 – 9 years. 3. The modal age of the children is 8 years. Which of the above statements are correct?
The value of $$\int_0^\infty {\frac{1}{{1 + {{\text{x}}^2}}}} {\text{dx}} + \int_0^\infty {\frac{{\sin {\text{x}}}}{{\text{x}}}} {\text{dx}}$$      is
There are four friend, Megha, Ujjwala, Shivangi and Harsha. The age of Harsha is (P – 7) years. The ratio of the age of Harsha 7 years hence to the age of Ujjwala 2 years before is 6 : 5. The ratio of the age of megha 1 year before to the age of Harsha 3 years hence is 3 : 4. Harsha is 5 years older than Ujjwala, then find the age of shivangi whose age is 1 year less than average age of other 3 friends.
The present age of A is 4 times more than the present age of B, whose age is 2/3 times of present age of C. D’s present age is 2 times more than the present age of C. If difference between the present age of A and C is 21 years, then find the ratio of age of A and D, 3 years from now.
In a family the age of grandfather is 4 times that of grandson. Grandmother's age is 6 years less than grandfather's age. The age of the grandson is 22 years less than the age of his mother, whose age is 3 years less than that of her husband i.e. the father of the grandson. If the age of the father is 41 years, then what is the age (in years) of the grandmother?
Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?