Answer:
(a) The probability of the intersection of events "man" and "yes" is 0.55.
(b) The probability of the intersection of events "no" and "man" is 0.10.
(c) The probability of the union of events "woman" or "no" is 0.45.
Step-by-step explanation:
The information provided is:
Yes No Total
Men 275 50 325
Women 150 25 175
Total 425 75 500
(a)
Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:
Thus, the probability of the intersection of events "man" and "yes" is 0.55.
(b)
Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:
Thus, the probability of the intersection of events "no" and "man" is 0.10.
(c)
Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:
Thus, the probability of the union of events "woman" or "no" is 0.45.
Answer:
And using the normal standard table or excel we find the probability:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the distribution for X is normal then, the distribution for the sample mean 
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:
Answer:
5.0/5. 1.
Step-by-step explanation:
