Probability distribution question

In summary, the conversation discusses a homework problem involving applying a standard inequality to find the probability of a random variable being within 10 of its mean. The solution involves reducing the problem to P((X-u)<10) and using known inequalities involving mean and variance. The original poster is unsure of the method and asks for clarification.
  • #1
princejan7
93
0

Homework Statement



http://postimg.org/image/bleosmrep/

Homework Equations





The Attempt at a Solution



can someone explain the last line of the solution; where did 1 - 6.25/10^2 come from?
 
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  • #2
princejan7 said:

Homework Statement



http://postimg.org/image/bleosmrep/

Homework Equations





The Attempt at a Solution



can someone explain the last line of the solution; where did 1 - 6.25/10^2 come from?

You are supposed to show your work (PF rules). So, first you need to tell us what you think the method is.
 
  • #3
Ray Vickson said:
You are supposed to show your work (PF rules). So, first you need to tell us what you think the method is.

I'm not really sure what they're doing at all
I want to know why they reduced the original problem to P((X-u)<10)
 
  • #4
princejan7 said:
I'm not really sure what they're doing at all
I want to know why they reduced the original problem to P((X-u)<10)
They're applying a standard inequality. What inequalities do you know which involve the mean and variance?
 

Related to Probability distribution question

1. What is a probability distribution?

A probability distribution is a mathematical function that describes the likelihood of different outcomes occurring in an experiment or event. It shows the possible values that a random variable can take and the probability of each of those values.

2. What are the different types of probability distributions?

There are many types of probability distributions, but some of the most commonly used ones include the normal distribution, binomial distribution, Poisson distribution, and exponential distribution. Each distribution is used to model different types of data and situations.

3. How is a probability distribution different from a probability density function?

A probability distribution is a graphical representation of the probability of different outcomes, while a probability density function (PDF) is a mathematical function that describes the probability of a continuous random variable falling within a certain range of values. In other words, a PDF is the mathematical expression of a probability distribution.

4. How is the mean of a probability distribution calculated?

The mean of a probability distribution, also known as the expected value, is calculated by multiplying each possible value of the random variable by its corresponding probability and then summing all these values. It represents the center of the distribution and is denoted by the symbol µ.

5. Can probability distributions be used to make predictions?

Yes, probability distributions can be used to make predictions about the likelihood of certain events or outcomes occurring in the future. By understanding the characteristics of a specific distribution, such as its mean and standard deviation, we can make educated guesses about what may happen in the future based on past data.

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