I think you left off some important information. Perhaps you can supply this information, to obtain assistance.
To calculate the probability or the chance of occurrence between two values, we calculate:
Pr{a < X < b} = F(b) - F(a)
where F(x) = cumulative probability distribution. The distribution requires certain known parameters. In the case of the Normal distribution, the mean and standard deviation are parameters.
In your particular case, a = 20 and b = 28.
It will not. For the interval (x, x+dx) it may well give a non-zero probability. With a continuous distribution, the probability of any particular value is always 0. What the probability density function gives is the probability that the variable is NEAR the selected value.
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probability density distribution
The probability mass function is used to characterize the distribution of discrete random variables, while the probability density function is used to characterize the distribution of absolutely continuous random variables. You might want to read more about this at www.statlect.com/prbdst1.htm (see the link below or on the right)
Probability Density Function
A probability density function assigns a probability value for each point in the domain of the random variable. The probability distribution assigns the same probability to subsets of that domain.
what is density curve
It will not. For the interval (x, x+dx) it may well give a non-zero probability. With a continuous distribution, the probability of any particular value is always 0. What the probability density function gives is the probability that the variable is NEAR the selected value.
No. f is a letter of the Roman alphabet. It cannot be a probability density function.
4
probability density distribution
The probability mass function is used to characterize the distribution of discrete random variables, while the probability density function is used to characterize the distribution of absolutely continuous random variables. You might want to read more about this at www.statlect.com/prbdst1.htm (see the link below or on the right)
The area under the pdf between two values is the probability that the random variable lies between those two values.
Probability Density Function
The probability density function of a random variable can be either chosen from a group of widely used probability density functions (e.g.: normal, uniform, exponential), based on theoretical arguments, or estimated from the data (if you are observing data generated by a specific density function). More material on density functions can be found by following the links below.
Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.
A probability density function.