Mutually exclusive events cannot be independent.
Indicate whether the statement is true or false
Q. 2If the random variable z is the standard normal score, which of the following probabilities could easily be determined without referring to a table?
a. P(z > 2.86)
b. P(z < 0)
c. P(z < 1.82)
d. P(z > 0.5)
Q. 3Mutually exclusive is an important probability concept.
Indicate whether the statement is true or false
Q. 4Given a standard normal probability distribution, what can be said about the mean and standard deviation?
a. Mean = 1, standard deviation = any value
b. Mean = any value, standard deviation = 1
c. Mean = 0, standard deviation = any value
d. Mean = 0, standard deviation = 1
Q. 5Mutually exclusive events are non-empty events defined on the same sample space with each event excluding the occurrence of the other. In other words, they are events that share no common elements.
Indicate whether the statement is true or false
Q. 6The distribution that has a mean of zero and a standard deviation of one is called the
a. binomial probability distribution.
b. frequency distribution.
c. standard normal distribution.
d. uniform distribution.
Q. 7If events A and B are independent, they must be mutually exclusive.
Indicate whether the statement is true or false
Q. 8Which of the following statements is false?
a. The total area under the curve of any normal distribution is 1.0 .
b. Nearly all the area under the standard normal curve is between z = -3.00 and z = 3.00.
c. The symmetry of the normal distribution is a key factor in determining probabilities associated with values below (to the left of) the mean.
d. The z-score associated with the 50th percentile of the standard normal distribution is 1.0.