Let F₁, F₂, and F3 are pairwise disjoint events from a sample space S - F₁F₂UF3. Let E be an event in S such that p(F₁(E)= 0.4 and p(F₂(E)= 0.2. Determine (FIE). O 02 0.6 02/5 O None of these O 0.3

Q: 8. 250 randomly selected (130 male, 120 female) Skyline students were asked a yes or no question,…

A: Answer:- Given, Total number of skyline students= 250 Male = 130 and female= 120  Using formula, P(…

Q: Suppose Q and R are independent events, and P(Q) = 0.39, P(R) = 0.85. Find P(Q and R). a Ob OC Od…

A: It is given that P(Q) = 0.39P(R) = 0.85The events Q and R are independent events.

Q: If E and F are two disjoint events with P(E) = 0.26 and P(F) = 0.47, what is P(E ∪ F)? (Enter answer…

A: Given,P(E) = 0.26 and P(F) = 0.47Using formula, ;for A and B are two disjoint events.

Q: Let E and F be two events in S with P(E) = 0.27, P(F) = 0.66, and P(E ∪ F) = 0.82. Find P(E ∩ F) and…

A: We have given that, Let E and F be two events in S (Sample space). P(E)=0.27, P(F)=0.66, P(E∪F)=0.82

Q: If P(A) = 0.1, P(B) = 0.6 where A,B are 2 disjoint events find P(AN B) Select one: a. 0.18 b. 0.12…

A: Solution

Q: Let A, B, and C be three events of the sample space S such that n(S)=60, n(A)=30, n(B)=18, n(C)=36…

A:

Q: at random events A and Bare independent, A and C are independent, and BC = 6. %3D P(B) =,P(AC |…

A: Given that

Q: Let E and F be two events in S with P(E) = 0.39, P(F) = 0.4, and P(E ∩ F) = 0.22. Find P(EC ∩ F) and…

A: To compute the probabilities of the required events , using addition and complementation laws

Q: Consider a six-sided fair die and roll it once. Let Ri denote the event that the roll is i. Let Lj…

A: On rolling a fair die, there are six possible outcomes that occur with the same probability, i.e.…

Q: Let A and B be any two events defined on sample space omega.  Suppose that P(A) =.4, P(B) = .5, and…

A: The given probabilities are:P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.1.

Q: Let B1, ... , Bn be independent events. Show n n P(ÜB.) = 1- T1c (1— Р(B,)). i=1 1=1

A: P∪I=1nBi=1-∏i=0n1-PBi For n =1             R.H.S=1-(1-PB1)=1-1+PB1=PB1=L.H.S For n = 2…

Q: If A and B are mutually exclusive events then O a. 1- P(AN B) = P(A) + P(B) %3D | O b. P(AU B) =…

A: Mutually exclusive events: Two events A and B are said to be mutually exclusion if there are no…

Q: #5 & #6

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Q: If A and B are mutually exclusive events such that P(A) = 0.45 and P(B)=0.35. Then P(A and B)= %3D…

A: Given that P(A) = 0.45 P(B) = 0.45 And given that A and B are mutually exclusive events

Q: a box contains 23 blue marbles, 13 green marbles, and 8 red marbles. thwo marbles are selected at a…

A: The objective of this question is to find the conditional probability of event F (the second marble…

Q: Let A and B be events in a sample space S such that P(A) = 0.38, P(B) = 0.42 and P(An B) = 0.20.…

A: P(A)=0.38 ,P(B)=0.42 and P(A∩B)=0.20

Q: Let E and F be two mutually exclusive events of a sample space (S). Let Pr(E)= 0.6 and Pr(E∪F)= 0.8…

A: We have given that,  E and F are two events are mutually exclusive with Pr(E)= 0.6 and Pr(E∪F)= 0.8…

Q: Let A, B, and C be three events of the sample space S such that n(S)=60, n(A)=30, n(B)=18, n(C)=36…

A: Given The data is as follows: n(S)=60 n(A)=30 n(B)=18 n(C)=36

Q: Suppose that a sample S is the of adults in Midwood Brooklyn. We shall categorize them according to…

A: Table is given which categorise adults according to gender and employment statusConcept :…

Q: If A and B are independent events such that P(A )=0.7 and P(B)=0.5 then P(A U B) O a. 0.9 O b. 0.5…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: Let A and B be events in a sample space S such that S = A ∪ B. Suppose that P(A) = 0.5, P(B) = 0.7,…

A: From the given information. a)PA∪B=PA+PB-PA∩B=0.5+0.7-0.25=0.95

Q: A student stays at home. Let event N = the student watches Netflix. Let event Y = the student…

A:

Q: Q.1 a) Given E and F are events defined on a sample space S such that P(E)=0.3, P(F)=0.5 and P (E …

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Let M and N be two events in a sample space S such that P(M) = 0.8,         P(N) = 0.4, and P(M ᴖ N)…

A:

Q: Let E and F be two events in S with P(E) = 0.54, P(F) = 0.57, and P(E ∩ F) = 0.21. Find P(EC ∩ F).…

A: P(E) =0.54P(F) =0.57=0.21

Q: If A and B are mutually exclusive events with P(A) = 0.75, then P(B): a. can be any value…

A: Given P(A)=0.75

Q: If A and B are events such that P(A)=0.55, P(B)=0.35 and P(A U B)=0.7. Then P(A/B) O a. 0.2 O b.…

A: It is given that P(A)=0.55, P(B)=0.35, P(AUB)=0.7.

Q: Let E and F be two events in S with P(E) = 0.45, P(F) = 0.63, and P(E ∪ F) = 0.87. Find P(E ∩ F) and…

A: Formula:For 2 events A and B, P (A ⋃ B) = P (A) + P (B) – P (A ∩ B).

Q: Suppose A and B are two events. If P(A)=0.5, P(B)=0.4, and P(AUB)=D0.8. Then find the P(ANB)? O A.…

A: Given:

Q: Q and R are independent events. P(Q) = 0.4 and P(R) = 0.23. Assuming that find events A and B arise…

A: From the given information, Q and R are independent events. That is, P (Q) =0.4,  P (R) =0.23 Since,…

Q: If P(E) = 0.2, P(F) = 0.3, and E and F are independent events, find P(E and F). 1) 0.06 2) 0.08 3)…

A: P(E)=0.2P(F)=0.3and E,F are independent events.

Q: A fair coin is tossed three times. Let R, S and T be three events R: maximum one coin shows tail, S:…

A: Solution: A fair coin is tossed three times. The sample space Ω is  Ω= { HHH, HHT,…

Q: Let A and B be two independent events with P(A) = 0.25 and P(AU B) = 0.75. Then, the value of P(A-…

A: Given: P(A) = 0.25 P(A U B) = 0.75 A and B are independent events

Q: Let E and F be two events in S with P(E) = 0.62, P(F) = 0.49, and P(En F) = 0.39. Find P(En F) and…

A: P(E) = 0.62 P(F) = 0.49 P(E∩F) = 0.39

Q: 1. Let the random variable X denote a natural number selected at random from 1 to 25 inclusive. Find…

A: According to the provided information, X denotes a natural number selected at random from 1 to 25…

Q: A fair coin is tossed three times. Let R, S and T be three events such that R:maximum one coin shows…

A: Sample space={HHH,HHT,HTH,THH,TTT,TTH,THT,TTH} R={HHT,HTH,THH,HHH} S={HHH}…

Q: you say about P(B)?

A:

Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 .…

A: For any two events A and B, it is known that P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).