Knowee
Questions
Features
Study Tools

The continuous random variable X, follows uniform distribution, that is X ~ U (0,23), find P(2<X<18)?  16/238/2318/239/23

Question

The continuous random variable

X, follows uniform distribution, that is
X ~ U(0, 23), find P(2 < X < 18)?

Options:

  • 16
  • 238
  • 2318
  • 239
  • 23
🧐 Not the exact question you are looking for?Go ask a question

Solution

The probability P(2<X<18) for a continuous uniform distribution can be found by calculating the length of the interval (18-2) and dividing it by the total length of the distribution (23-0).

Step 1: Calculate the length of the interval The length of the interval is the upper limit minus the lower limit. In this case, it's 18 - 2 = 16.

Step 2: Calculate the total length of the distribution The total length of the distribution is the upper limit minus the lower limit. In this case, it's 23 - 0 = 23.

Step 3: Divide the length of the interval by the total length of the distribution The probability is the length of the interval divided by the total length of the distribution. In this case, it's 16 / 23.

So, P(2<X<18) = 16/23.

This problem has been solved

Similar Questions

Uniform DistributionWhat is the probability of the random variable X lying between -1.5 and +2.5, i.e. P(-1.5<X<2.5)?

Given the following uniform continuous probability distribution, solve for the height, h.

6.2 Suppose X follows a continuous uniform distribution from 1 to 5. Determine the conditional probability P(X > 2.5 | X ≤ 4).

Let . Use the Normal approximation (with the continuity correction) to calculate P(X > 64). Give your answer to 4 decimal places.

The joint probabilities are given in the table. The value of P(Y<=2) is3/161/163/323/64

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.