Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  Let X be a continuous random variable denotin... Start Learning for Free
Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .
  • a)
    5.0
  • b)
    50.0
  • c)
    25.0
  • d)
    2.5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let X be a continuous random variable denoting the temperature measure...
The probability density function (PDF) of a continuous random variable represents the likelihood of observing a specific value. In this case, the PDF is given as f(x) = 0.01 for 0 < x="" />< />

To find the probability of a specific temperature range, we need to integrate the PDF over that range.

For example, to find the probability that the temperature is between 20 and 50 degrees Celsius, we need to calculate:

P(20 < x="" />< 50)="∫[20,50]" f(x)="" />

Since the PDF is constant within the given range, the integral simplifies to:

P(20 < x="" />< 50)="0.01" *="" ∫[20,50]="" />

P(20 < x="" />< 50)="0.01" *="" (50="" -="" />

P(20 < x="" />< 50)="0.01" *="" />

P(20 < x="" />< 50)="" />

So, the probability that the temperature is between 20 and 50 degrees Celsius is 0.3 or 30%.
Free Test
Community Answer
Let X be a continuous random variable denoting the temperature measure...
n is a continuous random variable for continuous random variable
From here,                      α = 0, β = 100
For continuous probability function mean
Alternate Solution:
Given:                  
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer?
Question Description
Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer?.
Solutions for Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let X be a continuous random variable denoting the temperature measured. The range of temperature is (0, 100) degree Celsius and let the probability density function of X be f{x) = 0.01 for 0 < X < 100. The mean of X i s _______ .a)5.0b)50.0c)25.0d)2.5Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev