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_KAN_MAT_XII_P2_C13_E04_014_A01##)`
Mean =17.53, Var(X)=4.78 and S.D(X)=2.19
Promotional Banner

Similar Questions

Explore conceptually related problems

The distance (in km) of 40 engineers from their residence to their place of work were found as follows : {:(5,3,10,20,25,11,13,7,12,31),(19,10,12,17,18,11,32,17,16,2),(7,9,7,8,3,5,12,15,18,3),(12,14,2,9,6,15,15,7,6,12):} Construct a grouped frequency distribution table with class size for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation ?