Maharashtra State BoardHSC Commerce 12th Board Exam
Advertisement Remove all ads

Suppose X is the waiting time (in minutes) for a bus and its p. d. f. is given by f(x) = {15 for 0≤x≤50 otherwise.Find the probability that waiting time is between 1 and 3 minutes - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Sum

Suppose X is the waiting time (in minutes) for a bus and its p. d. f. is given by

f(x) = `{(1/5,  "for"  0 ≤ x ≤ 5),(0,  "otherwise".):}`
Find the probability that waiting time is between 1 and 3 minutes

Advertisement Remove all ads

Solution

waiting time is between 1 and 3 minutes,

= P(1 < X < 3) = `int_1^3 f(x)*dx`

= `int_1^3 (1)/(5)*dx`

= `(1)/(5) int_1^3 1*dx`

= `(1)/(5)[x^2]_1^3`

= `(1)/(5)[3 - 1]`

= `(2)/(5)`.

Concept: Probability Distribution of a Continuous Random Variable
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Probability Distributions
Exercise 8.2 | Q 1.06 | Page 145
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×