A poll of 228 students at's university reveals that 72 are taking a lab science course, and 47 are members of the Honors College, while 18 are taking . lab science and are members of the Honors College Lot L's the event that a student is taking a lob science, and H= the event that a student is a member of the Honors College. Complete parts (a) through (e) below a. Display this data in a Vonn diagram. Choose the correct diagram below OA OC. OD. 20 H 72 E 123 b. A student is randomly chosen. Find PyL) and PIL n H ) and explain what each number represents First determine the formula to use to find PHL:). PLLIE 10 (Samplily your answer ) Determine the formula to use to find POn H)PLAH'J- PL)+PH)-P(LUH)) P(Ln H]= (Simply your answer) Explain what P(L) and P(L ( H') represent Choose the correct answer below. ( A P(L] is the probability a student is not a member of the Honors College. PIL ( H") is the probability a student is taking a lab science and is not a member of the Honors College. O B. P(L) is the probability a student is taking a lab science. P(L ( H') is the probability a student is taking a lab science and is not a member of the Honors College C C. PIL) is the probability a vudent is taking a lab science. P(L' H ) is the probability a student is taking a lab science of is not a member of the Honors College D. PUL)Is the probabiley a student is not a member of the Honors College, POL / H') is the probability a student is taking a lab science of is not a member of the Honors College C A student is randomly chosen Find Pil] and P(H i L') and explain what each number represents. POO-(Simply your answer ) point'-(imply your answer) Explain what POT and Por L') represent. Choose the correct answer below A. PO:4) is the probability a student is not taking a lab science. (H OL') is the probability a shident is a member of the Honor Cologe of is not taking a lab science.Explain what P(H) and PCH ri L') represent. Choose the correct answer below Q A. P(H] is the probability a student is not taking a lab science. (N / L') is the probability a student is a member of the Honors College or is not taking a lab science. O B. P(10 is the probability a student is a member of the Honors College. P(H n L') is the probability a student is a member of the Honors College and is not taking a lab science ( C. P(H) is the probability a student is not taking a lab science. PCH ri L') is the probability a student is a member of the Honors College and is not taking a lab science D. Poj) is the probability a student is a member of the Honors College, P(H / L') is the probability a student is a member of the Honors Colege of is not taking a lab science d. A student is randomly chosen. Find P(L n H) and P ((L n H) ) and explain what each number represents P(L n H)= (Simplify your answer ) P(InHI) = [(Simpity your answer ) Explain what PIL fil) and P ((. n H)") represent. Choose the correct answer below A PIL DH) is the probability a student is taking a lab science or is a mak bar of the Honors College. P ((L n H)") is the probability a student is not taking a lab source or in nal a member of the Honors College O B. P(L / H) is the probability a student is taking a las science or is a member of the Honors College. P((L n H)') is the probability a student is not taking a lab science and is not a member of the Honors College Q c. P(L n H) Is the probability a student is taking a lab science and is a member of the Honors College. P ((L Hill") is the probability a student is not taking is Mib science and is not it momber of the Honors CollegeExplain what P(L n H) and P ((L n H) ) represent Choose the correct answer below. C A. PL n H) is the probability a student is taking a lab science or is a member of the Honors College. P ((L / HY ) is the probability a student is not taking a lab science or ia not a member of the Honors College. Q B. P(L n H) is the probability a student is taking a lab science or is a member of the Honors College. P((L n H)') is the probability a student is not taking a lab science and is not a member of the Honors College. ( C. P(L H) is the probability a student is taking a lab science and is a member of the Honors College. P ((L n H)') is the probability a student is not taking a lab science and is not a member of the Honors College. O D. P(L mi H) is the probability a student is taking a Lib science and is a member of the Honors College, P((L H)") is the probability a student is not taking a lab science or is not a member of the Honors College a. Find the odds against each event in parts (o-d) occurring First wise an expression for the odds against H. Solect all that apply DA PH)PH') DO. PIN-PUT D. POOH-PILL) The odds against Hioccurring in kiwest terms, we (Type whely numbers )Next find the odds against H n LY occurring. First write an expression for these odds. Select all that apply. WA P(HALO: (1-P((HOL))) [B. P(HOL'):P((H OL) ) CC. (1-P((HOL ) ) ) :P(HOL) (D. P(HOL') (1-PHOL')) DE (1-PHOL'): PHOL) OF P((HOL') ) : PHOL) The odds against H ( L' occurring, in lowest terms. are: (Type whole numbers.) Next find the odds against L. ( H occurring. First write an expression for those odds. Select all that apply. DA. (1-P((LnHY) ) : P(LOH) B. P(LOH): (1-P((LAHY) ) ( C. P(LOH):(1-P( AH)) DD. (1 -P(LOH)) : P(LAH) DE. PILAHIP((LAHY) OF. P((LOHY) P(LOH) The odds against L A H occurring, In lowest terms. are] (Type whole numbers.) The odds against (L n H] , in lowest terms, are: (Type whole numbers.)