Home
Class 12
MATHS
A class has 15 students whose ages are 1...

A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability distribution of the random variable X? Find mean, variance and standard deviation of X.

Text Solution

Verified by Experts

The correct Answer is:
`(##NCERT_GUJ_MAT_XII_P2_C13_E04_014_A01##)`
Mean =17.53, Var(X)=4.78 and S.D(X)=2.19
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.5|15 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|18 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.3|14 Videos

  • MATRICES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 3|15 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

If the mode of the data 16, 15, 17, 16, 15, x, 19, 17, 14, is 15, then find x

There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. She writes the name of each student on separate cards, the cards being identical. Then she puts cards in a box and stirs them thoroughly. She then draws one card from the box. What is the probability that the name written on the card is the name of (i) a girl? (ii) a boy?

Find the mean deviation about the mean for the following data: 12,3,18,17,4,9,17,19,20,15,8,17,2,3,16,11,3,1,0,5 .

If A={3,6,9,12,15,18,21}, B={4,8,12,16,20} C={2,4,6,8,12,14,16} and D={5,10,15,20}, find (i) A-B (ii) A-C (iii) A-D (iv) B-A (v) C-A (vi) D-A (vii) B-C (viii) B-D (ix) C-B (x) D-B