If the outcome of event A is not affected by event B, then events A and B are said to be* 2.

Q: what is the probability that all 6 will be above average in performance?

A:

Q: First define any three events A,B,C in your daily life problems and prove addition law of…

A: Suppose me and my sister are alone in the home. We are feeling boring. Therefore, my sister…

Q: The statement "Two events are mutually exclusive if they cannot both occur", is correct?

A: The statement is "Two events are mutually exclusive if they cannot both occur".

Q: The intersection of two events occurs when    Both event A and event B occur   Event A and event B…

A: We know that intersections of two or more events mean that all events are occurring at the same…

Q: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

A:

Q: Show that if B1, B2, and B3 are independent events then B1 and B2 U B3 are independent. Furthermore,…

A: Two events are said to be independent if the occurrence of one of them does not depend on that of…

Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: There are total (2+1+2)=5 balls in the urn. Let R= Red , B= Blue , W= White  Number in suffix will…

Q: Two independent events D and E can only be disjoint if IP(D) = * P(E)

A:

Q: A manufacturer produces widgets that are packaged in boxes of 100. The probability of a widget being…

A: A manufacturer produces widgets that are packaged in boxes of 100. The probability of a widget being…

Q: Suppose we have three events A, B, and C. If P(A) > 0, P(B) > 0 and P(C) < 1, and we know that if…

A:

Q: Give an example of three events A, B, and C, such that A and B are mutually exclusive, B and C are…

A: Given The events that cannot occur at the same time are called mutually exclusive variables.

Q: Two cards will be drawn one after the other from a standard deck of card. Event A represent a heart…

A: here given , Two cards will be drawn one after the other from a standard deck of card. Event A…

Q: Event C is defined as the set of positive even integers; Event E is defined as the set of odd…

A: Mutually Exclusive Events: Another name of Mutually exclusive events is Disjoint events. An event is…

Q: Suppose that E, F, and G are events with P(E) E and G are independent, and P(F|G) 13 = 16 = 29 100 "…

A: Step 1:We will apply the inclusion and exclusion principle to findP(E∪F∪G), which for three events…

Q: Nine stranger are put in a room. There is 50% probability that any two random people in the room…

A:

Q: Suppose that all license plates in a state have three letters and then four digits. If a plate is…

A: There are 10 digits [0-9]  and 26 letters [A-Z]   We can pick each letter in 26 ways and each digit…

Q: If the events A and B are independent, the events A and B (and similarly A and B) are also…

A:

Q: If A, B are mutually exclusive events, then the probability that A does NOT occur given that B…

A: if A and B are mutually exclusive events then A∩B=∅ i.e. P( A∩B)=0 let A¯ is complement of A. now,…

Q: Answer true or false to the following statement and justify your answer: If event A and event B are…

A:

Q: Draw a Venn diagram to illustrate the union of two events, A and B, where A and B are mutually…

A: Mutually exclusive events [MEE]:   Let A and B be an two events, they are said to be mutually…

Q: Congrssional terms is shown as follows :given the summary from the 112th congress of senators whose…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: If the outcome of event A is not affected by event B, then events A and B are said to be mutually…

A: Independence condition: If A and B are independent events, then P(A and B)=P(A)*P(B). That is,…

Q: If A and B are independent events, prove that the following pairs of events are independent: Ac and…

A:

Q: An urn has 2 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Total number of balls in an urn,

Q: If only one of two or more events can occur they are considered  non-mutually exclusive. Select…

A: We have given that If only one of two or more events can occur they are considered  non-mutually…

Q: Show Venn diagram depicting two events A and B that are not disjoint. Shade in the portion of this…

A: A and B'. This also means that A is only happening.Explanation:Disjoint events means they have no…

Q: we have 100 students in the Institute of Computing, Kohat University of Science and Technology. Out…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: If two letters are taken at random from the word HOME, what is the probability that none of the…

A:

Q: An event that cannot be defined in terms of more basic outcomes is called a

A: Event is the outcome of a random experiment. For example, the occurrence of head atleast once in 2…

Q: The weights of ice cream cartons are normally distributed with a mean weight of 11 ounces and a…

A: Given : μ=11 ounceσ=0.6 ounceX~N(μ=11,σ2=0.62)Let, for sample of size n,x¯~Nμx¯=μ,σx¯2=σn2

Q: (a) A and Bc; (b) Ac and B; (c) Ac and Bc.

A: Given that,Events A and B are independent events.It can be written as,

Q: What  is the probability that a hand of 5 cards chosen at random from a standard deck of 52 cards…

A: The 5 cards chosen need to have an odd number of cards from each of the four suits. There are 4…

Q: The probability that an American industry is located in Shanghai, China is 0.62, the probability…

A: We have given that  P(A) = 0.62 P( B) = 0.49 P( A U B ) = 0.77

Q: Otto, Yowbert, and Wembley each randomly select an integer between 1 and 10. By an "integer between…

A: Otto, Yowbert, and Wembley each randomly select an integer between 1 and 10. Obtain the probability…

Q: When two events cannot occur at the same time, they are said to be ?

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: When can two independent events D and E only be disjoint

A: Given that When can two independent events D and E only be disjoint

Q: If two events are independent then their compliments are also independent. true False

A: Two events are said to be independent if occurrence of one event does not affect the occurrence of…

Q: When an event is an independent event, its occurrence does not affect nor is it affected by another…

A: If the event does not depend on the other events then the event can be termed as independent event.