new quiz 6 Flashcards
_________ random variables, such as heights and weights, length of life of a product, can assume the infinitely many values corresponding to points on a line interval
continuous
The ______ under a continuous probability distribution is equal to 1
AREA
The probability that x will fall into a particular interval, say from a to b, is equal to the ________between the 2 points
AREA UNDER THE CURVE
P(x=a)=????
0, for continuous random variable
This implies that P(x≥a) ? P(x>a) and
P(x≤a) ? P(x<a)
=
the continuous _______ random variable is used to model the behavior of a random valuable whose values are uniformly or evenly distributed over a given interval
UNIFORM
The total area under the probability distribution is 1/(b-a) X (b-a)=??
1
The probability that x falls in an interval is calculated as the area under the _____ over that interval
CURVE
The mean and variance of x for uniform random variable are given by…
ϻ= (b+a)/2 and σ²= 1/12 (b-a)²
the_____ random variable is used to model positive random variables such as waiting time, or lifetime associated with electronic components
exponential
the parameter λ is often referred to as the _______ and is related to the mean and the variance
intensity
for exponential random variable, mean and variance are….
ϻ= 1/λ and σ²= 1/λ²
so that ϻ=σ (standard deviation)
a large # of random variables observed in nature possess a frequency distribution that is approximately __________ and can be modeled by a ___________probability distribution
MOUND SHAPED, NORMAL
The mean locates the ______ of the distribution and the distribution is ________ about its mean( for normal distributions)
center, symmetric
The shape of the (normal) distribution is determined by _____, the population standard deviation
σ
