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CHAPTER 6 - Coggle Diagram
CHAPTER 6
STANDARD NORMAL DISTRIBUTION
a standard normal distribution has a mean of 0 and a standard deviation of 1
the z score for the standard normal distribution can be either negative or positive
in standard normal distribution the probability that Z is greater than zero is 0.5
a negative value of Z indicates that the number of standard deviations of an observation is to the left of the mean
for the standard normal probability distribution the area to the left of the mean is 0.5
in a standard normal distribution the range of values of z is from minus infinity to infinity
UNIFORM PROBABILITY DISTRIBUTION
the uniform probability distribution is used with any random variable as long as it is nominal
for a uniform probability density function the height of the function cannot be larger than 1
the probability density function for a uniform distribution ranging between 2 and 6 is 0.25
a uniform probability distribution is a continuous probability that the random variable assumes a value in any interval of equal length is the same for each interval
CONTINUOUS RANDOM VARIABLE
the probability that a continuous random variable takes any specific value is equal to 0
the probability density function f(x) represents the area under the curve at x
the function that defines the probability of a continuous random variable is a probability density function
CONTINUOUS PROBABILITY DISTRIBUTION
the uniform, normal and exponential distributions are all continuous probability distributions
when a continuous probability distribution is used to approximate a discrete probability distribution a value of 0.5 is added and/ or subtracted from the value of x
a continuous probability distribution that is useful in describing the time or space between occurrences of an event is a poisson probability distribution
NORMAL CURVES
the centre of a normal curve is the mean of the distribution
CONTINUITY CORRECTION FACTOR
the continuity correction factor is a value of 0.5 that is added and/ or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution
NORMAL PROBABILITY DISTRIBUTION
characteristics
the mean, median and the mode are equal
the mean of the distribution can be negative, zero or positive
the distribution is symmetrical