Ans.
(13).d. A's occurrence has no effect on the probability of B occurring.
(14).e. None of the above because if two events are independent then P(A and B) =P(A)*P(B)
(15).a. P(A/B) =P(A)
(16).c.
(17).d
13.If two events A and B are statistically independent, then: a. A's occurrence makes it less...
In parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events cannot be both mutually exclusive and independent). a) You and a randomly selected student from your class both earn A's in this course. neither independent mutually exclusive b) You and your class partner both earn A's in this course. neither mutually exclusive independent c) If two events can occur at the same time, they must be independent. false true
Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is A.One B.Any positive value C.Zero D. Any value between 0 to 1 Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A∩B) is: a.P(A) = 0.2 b. P(A)/P(B) = 0.2/0.4 = 0.05 c....
4. The Probability Calculus- Restricted Disjunction Rule To calculate the probability that either of two events will occur when the events are mutually exclusive, use the restricted disjunction rule. Two events are mutually exclusive if they cannot both occur at the same time. To calculate the probability of either of two mutually exclusive events (A and B) occurring, according to the restricted disjunction rule, use the following formula P(A or B) P(A)P(B) This formula tells you that the probability of...
3. If PA)-03, P(B) 0.2, P(A and B)-a06, what can be said about events A and B ? A) They are independent. B) They are mutually exclusive. C) They are posterior probabilities. D) None of the above E) All of the above 4. "The probability of event B, given that event A has occurred" is known as a probability A) continuous B) marginal C) simple D) joint E) conditional 5. The expected value of a probability distribution is A. the...
If events A and B are independent, then the probability of simultaneous occurrence of event A and event B can be found with ____________. P(A)·P(B) P(A)·P(B|A) P(B)·P(A|B) All of these choices are correct.
7. If A and B are independent events, then P(A and B) equals a. b. c. P(A) + P(B/A). P(A) x P(B). P(A) +P(B). d. P(A/B) +P(B/A) 8.Which formula represents the probability of the complement of event A? b. 1-P(A) c. P(A d. P(A)-1 9. The simultaneous occurrence of two events is called a. prior probability b. subjective probability c. conditional probability d. joint probability 10. If the probability of an event is 0.3, that means the event has a...
A and B are two statistically independent events, assume the probability of A is 0.4 and the probability of B is 0.5. 1) Determine the P(An B). [The answer should be a number rounded to five decimal places, don't use symbols such as %] 2) Determine the P(AUB). [The answer should be a number rounded to five decimal places, don't use symbols such as %]
A bicycle company makes two mountain bike models that each come in three colors. Use the following table, which shows the production volumes for one week, to answer parts a through d. Model XK-50 FL-99 Color Blue Brown 290 90 38 207 White 191 127 a. Based on the relative frequency assessment method, what is the probability that a manufactured item is brown? P(brown) = (Round to four decimal places as needed.) b. What is the probability that the product...
Chapter 3 3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E)-0.4; P(F) 0.5. Find P(E1F) 41.J and Kare independent events. PUlK) 0.3. Find PC) 42. Uand V are mutually exclusive events. P(U) 0.26; P(V)-0.37. Find: a. P(U AND V)= 43.Q and R are independent events. PQ) 0.4 and P(Q AND R) 0.1. Find P 3.3 Two Basic Rules of Probability Use the following information to answer the next ten exercises Forty-eight perc Californians registered voters...
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A)= 0.30 and P(B)= 0.40. Assume that we have two events, A and Br that are mutually exclusive. Assume further that we know P(A) 0.30 and PCB 0.40 If an amount is zero, enter "0". a. What is P(An B)? b. what is p(AIB? C. Is AIB) equal to A)? Are events A and B dependent or independent? d. A student in...