Question

In: Statistics and Probability

Suppose my sample space consists of current STATS125 students. Let T be the event that a...

Suppose my sample space consists of current STATS125 students.

Let T be the event that a randomly selected current STATS125 student usually attends Tuesday lectures,

W be the event that a randomly selected current STATS125 student usually attends Wednesday lectures

H be the event that a randomly selected current STATS125 student usually attends Thursday lectures.

a) Draw 4 Venn diagrams and use shading to identify the following sets:

i. T ? H

ii. T^complement ? (W ? H)

iii. the event that a randomly selected current STATS125 student usually attends Thursday lectures only.

iv. the event that a randomly selected current STATS125 student usually attends the lectures that Marie and Azam recommend attending (see Course Information handout

in useful information module on Canvas).

(b) Describe (i) and (ii) in words.

(c) Write (iii) and (iv) in symbols.

Solutions

Expert Solution

https://mail-attachment.googleusercontent.com/attachment/u/0/?ui=2&ik=0e4e60a541&view=att&th=1650f15c6115c48e&attid=0.1&disp=inline&realattid=1650f15637cf736742f1&safe=1&zw&saddbat=ANGjdJ8v6-tm1V1LpikyofweOBDoJjywFCjROCtdbVzbfDqY3ktNzcotYziTaS9a07bLUmVkpp4p4VrOB2VKNkHntp_oMkqFFvNYMiAHhGHFlt4FPg2cTJndz8XI7WjbfiN9kwGX6x5Tlkcq4P33RHA96zCcx8HkjZhJhVReB04jf_NfmTpmN0l8A714ZUW-jlJBp81cIe2LDtjjAqUiZXAgBQSdk0ywwgiV3GCsidOqllRTJI1UTgMtsTZYspkVxiL_Vi4GLziMObKTo4lfAVvDqVUBXCtI-XhavsF6_TrIde2sTxQ-JY9EVr36vLPUqThT6podcveHBNmiQGw99Dd0H7GnWWSp0RVT-nFlb0aOZYSQ6aIzI9AR6S2xbc83-Bq3TunglIBec7M9X1xtCzn9yB3GPbVi-x18gTBe8knRFGbpssn6bISHj2PGjCUaznJLBzOirSNt8Ih1nSZwvvAd3TIhkUYFOq9JBp-6SA9FpmLBx99peENBlUmWukkEw128Pc2ElcU1xbSMqnDTfeSt76MrKkYIf3R0CGioU1Z190w2P33LhephOfHd2F0drtmG6QoPrBAFUQdfSA5FF3H_OHxQBGHHT483bDHxL7tH5BCfkeFZdIYTlas4uio i am not able to send photo so i just sent the attachment where i have done my work


Related Solutions

Let (?,?,?) be a probability space and suppose that ?∈? is an event with ?(?)>0. Prove...
Let (?,?,?) be a probability space and suppose that ?∈? is an event with ?(?)>0. Prove that the function ?:?→[0,1] defined by ?(?)=?(?|?) is a probability on (?,?).
Let H be the event of observing a head and T be the event of observing...
Let H be the event of observing a head and T be the event of observing a tail. A balanced coin is tossed three times. (a) List all possible outcomes. (b) List all possible outcomes and find the probabilities of the following events.       A = event exactly two heads are tossed       B = event the first toss is a tail       C = event the first toss is a head       D = event all three tosses come...
Suppose that a sample space consists of ? equally likely outcomes. Select all of the statements...
Suppose that a sample space consists of ? equally likely outcomes. Select all of the statements that must be true. a. Each outcome in the sample space has equal probability of occurring. b. Any two events in the sample space have equal probablity of occurring. c. The probability of any event occurring is the number of ways the event can occur divided by ?. d. Probabilities can be assigned to outcomes in any manner as long as the sum of...
Suppose the sample space is S = {x| - 8 <= x <= 8}. Let A...
Suppose the sample space is S = {x| - 8 <= x <= 8}. Let A = {x|-2 < x < 2}, B = {x| -3 < x < -1}, and C = {x|1<x<3}. Determine the sets (A intersection B intersection C')'. Please show work as needed.
Let ? be the sample space of an experiment and let ℱ be a collection of...
Let ? be the sample space of an experiment and let ℱ be a collection of subsets of ?. a) What properties must ℱ have if we are to construct a probability measure on (?,ℱ)? b) Assume ℱ has the properties in part (a). Let ? be a function that maps the elements of ℱ onto ℝ such that i) ?(?) ≥ 0 , ∀ ? ∈ ℱ ii) ?(?) = 1 and iii) If ?1 , ?2 … are...
Let T be an operator on a finite-dimensional complex vector space V, and suppose that dim...
Let T be an operator on a finite-dimensional complex vector space V, and suppose that dim Null T = 3, dimNullT2 =6. Prove that T does not have a square root; i.e. there does not exist any S ∈ L (V) such that S2 = T.
6a. Let V be a finite dimensional space, and let Land T be two linear maps...
6a. Let V be a finite dimensional space, and let Land T be two linear maps on V. Show that LT and TL have the same eigenvalues. 6b. Show that the result from part A is not necessarily true if V is infinite dimensional.
Let X be a metric space and t: X to X be a map that preserves...
Let X be a metric space and t: X to X be a map that preserves distances: d(t(x), t(y)) = d(x, y). Give an example in whicht is not bijective. Could let t: x to x+1,x non-negative, but how does this mean t is not surjective? Any help will be much appreciated!
Let A , B , and C be disjoint subsets of the sample space. For each...
Let A , B , and C be disjoint subsets of the sample space. For each one of the following statements, determine whether it is true or false. Note: "False" means "not guaranteed to be true." a) P(A)+P(Ac)+P(B)=P(A∪Ac∪B) b) P(A)+P(B)≤1 c) P(Ac)+P(B)≤1 d) P(A∪B∪C)≥P(A∪B) e) P((A∩B)∪(C∩Ac))≤P(A∪B∪C)P((A∩B)∪(C∩Ac))≤P(A∪B∪C) f) P(A∪B∪C)=P(A∩Cc)+P(C)+P(B∩Ac∩Cc) ) Please explain how you got the answer.
Let A and B be two subsets of the sample space of an experiment. If P(A)...
Let A and B be two subsets of the sample space of an experiment. If P(A) = 0.35, P(B) = 0.55, and P(A ∩ B) = 0.1, find (i) p(A ∩ Bc) (ii) p(A U B)c (iii) p(A ∩ B)c (iv) p(Ac ∩ Bc)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT