10% items below 35 and 5° of above 90 then Find mean and verlonce of the normal distribution?
Answers
Step-by-step explanation:
So far we have dealt with random variables with a finite
number of possible values. For example; if X is the number
of heads that will appear, when you flip a coin 5 times, X
can only take the values 0, 1, 2, 3, 4, or 5.
Some variables can take a continuous range of values, for
example a variable such as the height of 2 year old children
in the U.S. population or the lifetime of an electronic
component. For a continuous random variable X, the
analogue of a histogram is a continuous curve (the
probability density function) and it is our primary tool in
finding probabilities related to the variable. As with the
histogram for a random variable with a finite number of
values, the total area under the curve equals 1.Probabilities correspond to areas under the curve and are
calculated over intervals rather than for specific values of
the random variable.
Although many types of probability density functions
commonly occur, we will restrict our attention to random
variables with Normal Distributions and the probabilities
will correspond to areas under a Normal Curve (or
normal density function).
This is the most important example of a continuous
random variable, because of something called the Central
Limit Theorem: given any random variable with any
distribution, the average (over many observations) of that
variable will (essentially) have a normal distribution. This
makes it possible, for example, to draw reliable information
from opinion polls