Determine the probability that a random variable

In summary, the conversation discusses the task of determining the probability of a random variable with a normal distribution taking on a value less than 9.5. The steps to find this probability using a standardized score and a stats sheet or a casio classpad are mentioned. The use of a normal CD function in the stats program on the casio classpad is suggested to find the probability.
  • #1
Sirsh
267
10
Hello my question is stated below:

Task 3: Determine the probability that a random variable (X) having a normal distribution with μ = 20.15 and σ = 6.27 minutes will take on a value less than 9.5.

I've tried this:

Standardised score = (9.6-20.15)/6.27 = -1.698

Now i don't know how to find the pribability of this score on a stats sheet or using my casio classpad. does anyone else know how to do this?

Thank you.
 
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  • #2


to do it on your casio classpad you can use the stats program. click on the calc dropdown, all the way at the bottom is distribution, click on that then you want to use normal CD, click next and use your lower value as -infinity then you should be able to figure the rest.
 
  • #3


Pretty much finished the assignment before you replied lmao.
 

What is a random variable?

A random variable is a numerical measurement of a random event. It can take on different values depending on the outcome of the event. For example, the outcome of rolling a dice can be represented by a random variable that can take on values from 1 to 6.

How is the probability of a random variable determined?

The probability of a random variable is determined by finding the ratio of the number of favorable outcomes to the total number of possible outcomes. This can be calculated using theoretical or experimental methods, depending on the situation.

What is the difference between discrete and continuous random variables?

Discrete random variables can only take on specific values, while continuous random variables can take on any value within a given range. For example, the number of heads obtained from flipping a coin is a discrete random variable, while the height of individuals in a population is a continuous random variable.

What is the relationship between probability and random variables?

Probability is the measure of the likelihood of a random event occurring. Random variables are used to represent these events and the probability is determined by the values that the random variable can take on.

What are some applications of determining the probability of a random variable?

Determining the probability of a random variable has many practical applications, such as predicting outcomes in games of chance, analyzing data in scientific experiments, and making decisions in business and finance based on risk and uncertainty.

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