Chapter 6
the uniform probability distribution is used with
a continuous random variable
For a uniform probability density function, a. the height of the function can not be larger than one b. the height of the function is the same for each value of x c. the height of the function is different for various values of x d. the height of the function decreases as x increases
b
a z-score for the standard normal distribution
can be either negative or positive
a value of .5 that is added or subtracted from a value of x when the continuous normal distribution is used to approximate tge discrete binomial distribution is called
continuity correction factor
Which of the following is not a characteristic of the normal probability distribution? a. The mean, median, and the mode are equal b. The mean of the distribution can be negative, zero, or positive c. The distribution is symmetrical d. The standard deviation must be 1
d
a normal probability distribution
is a continuous probability distribution
The mean of a standard normal probability distribution
is always equal to zero
the probability that a continuous random variable takes any specific value
is equal to 0
in a standard normal distribution the range of values of z is from
negative infinity to positive infinity
the probability density function for a uniform distribution ranging between 2 and 6 is
o.25 1/6-2 =1/4 =.25
what is a characteristic of the normal probability distribution
symmetry total area under curve = 0 the mean is equal to the median, which is also equal to the mode
a negative value of Z indicates that
the number of standard deviations of an observation is to the left of the mean
a standard normal distribution is a normal distribution
with a mean of 0 and a SD of 1
For the standard normal probability distribution, the area to the left of the mean is
0.5
for a standard normal distribution the probability of z less than 0 is
0.5
a continuous random variable is uniformly distributed between a and be. the probability density function between a and b is
1/(b-a)