2 Answer the following questions by saying TrueFalse a If a

2.   Answer the following questions by saying True/False

a. If a machine produces 18 defective parts out of a total of 200 parts produced, the percentage of defective parts is 18.

b. A subjective probability is one that’s determined from observation and experimentation.

c. A random variable is one that takes on different values depending on the chances outcome of an experiment.

d. A random variable has a single numerical value for each outcome of probability experiment.

e. The only rule that applies to all probability distributions is that the possible probability distribution values are always between 0 and 1.

f. If an experiment has 5 possible outcomes, then the probability of each outcome is 1/5.

g. If two events are independent, the occurrence of one event should not affect the likelihood of occurrence for the other event.

h. A joint probability is the probability that both events will occur.

i. If a joint probability for two events is to be computed, it is necessary to know if the two events are independent.

3. Is the following random variable discrete or continuous?

a. The yearly salary of an employee

b. The amount of flour space occupied by a high-speed printer.

c. The number of articles returned by a customer due to defects.

d. The number of time a student misses class.

e. The weight f a new experimental space metal.

Solution

2. Answer the following questions by saying True/False
a. If a machine produces 18 defective parts out of a total of 200 parts produced, the percentage of defective parts is 18.
False , It is 9%

b. A subjective probability is one that’s determined from observation and experimentation.
TRUE

c. A random variable is one that takes on different values depending on the chances outcome of an experiment.
True

d. A random variable has a single numerical value for each outcome of probability experiment.
No, For Continous it is interval

e. The only rule that applies to all probability distributions is that the possible probability distribution values are always between 0 and 1.
True

f. If an experiment has 5 possible outcomes, then the probability of each outcome is 1/5.
True

g. If two events are independent, the occurrence of one event should not affect the likelihood of occurrence for the other event.
That is True, & the P(A)*P(B) shoule be equal to 1

h. A joint probability is the probability that bot events will occur.
True

i. If a joint probability for two events is to be computed, it is necessary to know if the two events are independent.
False

3. Is the following random variable discrete or continuous?
a. The yearly salary of an employee
discrete, It is an constant Number

b. The amount of flour space occupied by a high-speed printer.
Continuous, It is an not always be the same number, lies in interval

c. The number of articles returned by a customer due to defects.
Continuous, It is an not always be the same number, lies in interval

d. The number of time a student misses class.
discrete, It is an constant Number

e. The weight f a new experimental space metal.
Continuous, It is an not always be the same number, lies in interval