HELLP I am confused on this

please help

The joint probability of two mutually exclusive events: 0 3- must sum to one. O [3- equals the probability of the first event plus the probability of the second event. 0 12- equals one minus the intersection of the two events. 0 {1- must be less than the probability of the complement of the union of the two events. 0 E- is zero. Consider events A and B. If P(A) = 0.35, P(B) = 0.5 and P(A/B) = 0.60, then the probability of at least one of these events to occur is: O a. 0.55. O b. 0.85. O C. 0.64. O d. 0.657. O e. cannot be determined with the information given.A firm buys 70% of its microcomputer supplies from vendor A and the remainder from vendor B. Of these orders, 10% of those from vendor A and 20% from vendor B are delivered later than promised. A late shipment of supplies has just arrived. What is the probability that it came from vendor B? O a. 0.13. O b. 0.46. O C. 0.54. O d. 0.06. O e. none of the above.Suppose that on any given day the owner of a yard service business will earn $25 on a single job if it does not rain, but will earn nothing if it rains. Further suppose that the probability of rain on any given day is 0.2. What is the expected gain for the owner for this job? O a. $20.00. O b. $5.00. O C. $10.00. O d. $25.00. O e. cannot be determined with the information given.It is always true, regardless of the sample size drawn, that: O a. the mean of the sampling distribution of sample means is equal to the mean of the population from which the samples were drawn. O b. the standard error of the mean will exceed the standard deviation of the population from which samples are drawn. O C. the standard error will increase as the sample size increases. O d. the sampling distribution of the mean has precisely the same scatter as the parent population from which the samples were drawn. O e. the sampling distribution of the sample mean will be approximately normal.Define the following events: (hint: eligible age to become President is at least 35 A: a person is President of the United States. B: a person is 25 years old. Events A and B are: O a. independent. O b. mutually exclusive. O c. dependent. O d. conditional on one another. O e. (b) and (c)