Let the event (A) be "rain" and the event (B - "ow air pressure" If in...
(A) be "rain" and the event (B "low air pressure". Let the event If in a certain month there were 10 of 30 days with rain, 12 days with low pressure, 8 days with both rain the conditional probability P (A/B)? Whether the events A, B are dependent or not? and low pressure, what is
8 3. Let the event (A) be "rain" and the event (B) "low air pressure If in a certain month there were 1Q of 30 days with rain, 12 days with low pressure, & days with both rain and low pressure, what is the conditional probability P (A/B)? Whether the events A, B are dependent or not?
2. Yoù have drawn a card from a fully shuffled deck of 52 ordinary playing cards. Find the probabilities P(Queen or Black) a. b. P (Diamond or Jack)- c, P (Below 4 / not Face)- d. P (Above 7/not Ace)- e. P (Queen/ Face) Let the event (A) be "air temperature To> 25° C" and the event (B) - "high air pressure". If in a certain month there were 12 of 30 days with temperature To> 25° C, 16 days...
1. The following are the values of waiting time of 6 customers of a city bank in minutes 3, 5, 6, 6, 8, 9 Find mean and standard deviations using the formula: 2 n(n-1) 2. You have drawn a card from a fully shuffled deck of 52 ordinary playing cards. Find the probabilities Clot b a. P(King or Red)- b. P (Heart or Queen) C. P (Below 5/not Ace)- d. P (Above&/ not Face)- e. P Red / Face 3....
Set Theory and Conditional Probability Problem #1 : (10pts) If P(A) 0.3 and P(B)0.2 and P(A n B) - 0.1. Determine the following probabilities Problem #2: (10pts) a) If the sets Xand Yare non-mutually exclusive , show that: b) Given two events X and Y, draw a Venn diagram to demonstrate that P(X)- P(XnY) + P(XnY), and deduce that P(X)- P(X/Y)P(Y) + P(X/Y)P(Y). Problem #3: (15pts) Consider two events X and Y with probabilities, P(X) 7/15, P(XnY)-1/3, and P(X/Y)-2/3. Calculate...
Given events A and B, (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A will not occur. Express D in terms of A and B. (b) let E be the event that exactly one of the events A or B will occur. Express E in terms of A and B. (c) Use the result in...
Cases in Probability Dependence of Events Let event A be getting a number (when selecting one card), having digit 1 at the first position. Cards 101 and 110 support this event. Let event B be getting a number (when selecting one card), having digit 1 at the second position. Cards 110 and 011 support this event. Let event C be getting a number (when selecting one card), having digit 1 at the third position. Cards 101 and 011 support this...
2. Given events A and B (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A wil not occur. Express D in terms of A and B (b) let E be the event that exactly one of the events A or B will occur. Express E in terms (c) Use the result in (a) to find...
Consider randomly selecting a student at a certain university, and let ? denote the event that the selected individual has a Visa credit card and ? the analogous event for a MasterCard. Suppose that ?(?) = 0.5, ?(?) = 0.4, and ?(? ∪ ?) = 0.65. a. What is the probability that the student has both types of cards? b. What is the probability that the student has a MasterCard but not a Visa? c. What is the probability the...
1) Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. Find the probability that a student is in accounting and is also in...