Question

The lifespan of my favorite candle follows a normal distribution with an average of 400 hours and a standard deviation of 50. What is the probability that my candle lasts exactly 400 hours, no more no less? A 100% B 50% C 25% D 0%

Answer 1

The correct option is D 0%. [ANSWER]

Explanation:

Let X denote the random variable representing the lifespan of the candle in hours.

Now, we are given that X follows a Normal distribution with mean 400 hours and standard deviation 50 hours.

Thus, X follows a continuous distribution.

Now, we know that for any continuous random variable the probability of getting any exact value is zero.

Thus, P(X=400) = 0 = 0% [ANSWER]

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.