Question

In: Advanced Math

True or False? For any two events A and B, P(A∩ B) ≥ 1 − P(A∪...

True or False? For any two events A and B, P(A∩ B) ≥ 1 − P(A∪ B)

True or False? For any two independent events A and B, P(A| B) = P(A| Bc )

Compute B(6, .2, 2)

Solutions

Expert Solution

If you have any doubts please ask me in comments. ...

Here i used basic result from probablity....

First statement is false i gave a counter example for that ...

Second is true i prooved it and i used a corollory from probablity while prooving second statement...and in third i simply put bionomial method ....


Related Solutions

True or false? If there's a positive correlation between two events A and B then there...
True or false? If there's a positive correlation between two events A and B then there are two possible underlying stories behind this correlation: B cause A; two, A causes B.
On the overlap of two events, suppose two events A and B , P(A)=1/2, P(B)=2/3, but...
On the overlap of two events, suppose two events A and B , P(A)=1/2, P(B)=2/3, but we have no more information about the event, what are the maximum and minimum possible values of P(A/B)
classify as true or false. a) any two rectangles are similar. b) if an angle of...
classify as true or false. a) any two rectangles are similar. b) if an angle of one rhombus is congruent to an angle of a second rhombus, then the two rhombi are similar.
A) If two events A and B are​ __________, then​ P(A and ​B)=​P(A)​P(B). complements independent simple...
A) If two events A and B are​ __________, then​ P(A and ​B)=​P(A)​P(B). complements independent simple events mutually exclusive B) The sum of the probabilities of a discrete probability distribution must be​ _______. less than or equal to zero equal to one between zero and one greater than one C) Which of the below is not a requirement for binomial​ experiment? The probability of success is fixed for each trial of the experiment. The trials are mutually exclusive. For each...
Are the following statements true or false? 1. Let P(n) be the statement "If any string...
Are the following statements true or false? 1. Let P(n) be the statement "If any string of length n over {a, b} has more a's than b's, then it has two a's in a row". We can prove this statement is true for all n with n ≥ 2 by proving P(2), P(3), and "for all n: P(n) → P(n+2)". 2. Let P(x) be a predicate with one free variable x of type natural. If I prove P(0), "for all...
1 Two events are mutually exclusive if they cannot occur at the same time. True False...
1 Two events are mutually exclusive if they cannot occur at the same time. True False 2. An apartment building has the following apartments: 1 bedroom 2 bedroom 3 bedroom 1st floor 3 1 1 2nd floor 2 2 2 3rd floor 1 4 1 If an apartment is selected at random, what is the probability that it is not a 2 bedroom apartment on the 2nd floor? 2/15 2/7 11/15 15/17 3. What probability value would be needed to...
if A and B are independent events where P(A) = 0.7 and P(B)= .8: 1. P(A...
if A and B are independent events where P(A) = 0.7 and P(B)= .8: 1. P(A ^ B) = 2. P(~A^~B) = 3.P(A U B) = 4. Does your anwser change if they were dependent?
True or False a. a buffer consists of any acid and any base mixed together b....
True or False a. a buffer consists of any acid and any base mixed together b. proteins tend to precipitate at high salt concentration c. Coulomb's law measures the standard reduction potential between charged molecules d. A compound with a large dipole moment will be non polar e. beta mercaptoethanol and performic acid are used to reduce disulfide bonds f. water has a high heat capacity and a high dialectric constant g. biomolecules with a chiral center will exist in...
Let A and B be two events in a sample with P(A)=0.4 and P(AuB)=0.7.Let P(B)=p a)i...
Let A and B be two events in a sample with P(A)=0.4 and P(AuB)=0.7.Let P(B)=p a)i For what value of p are A and B mutually exclusive? ii for what value of p are A and B independent? b) Assume that P(A)=0.4 and P(B)=0.3 i find P(B') ii if A and B are mutually exclusive , what is P(A or B) ii given that P(A or B)=0.6, Find the P(B/A) c) suppose events A and B are such that P(A)=0.25,P(B)...
(a) If A and B are independent events with P(A) = 0.6 and P(B) = 0.7,...
(a) If A and B are independent events with P(A) = 0.6 and P(B) = 0.7, find P (A or B). (b) A randomly selected student takes Biology or Math with probability 0.8, takes Biology and Math with probability 0.3, and takes Biology with probability 0.5. Find the probability of taking Math. A box contains 4 blue, 6 red and 8 green chips. In how many different ways can you select 2 blue, 3 red and 5 green chips? (Give...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT