Question listQuestion 1Question 2Question 3Question 4O Question 5O Question 6O Question 7O Question 8O Question 9O Question 10O Question 11O Question 12O Question 13O Question 14O Question 15KA poll of 200 students at a university reveals that 73 are taking a lab science course, and 46 are members of the Honors College, while 19 are taking a lab science and are members of the Honors College. Let L = the event that a student is taking a lab 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 Venn diagram. Choose the correct diagram below.OAQQb. A student is randomly chosen. Find P(L) and P(L H') and explain what each number represents.First determine the formula to use to find P(L).P(L)=▼P(L) = (Simplify your answer.)Determine the formula to use to find P(LOH').P(LOH')=О в.P(LnH') - (Simplify your answer.)Explain what P(L) and P(LnH') represent. Choose the correct answer below.FOQQO A. P(L) is the probability a student is not a member of the Honors College. P(LnH') 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 not a member of the Honors College. P(LnH') is the probability a student is taking a lab science or is not a member of the Honors College.O C.P(L) is the probability a student is taking a lab science. P(LnH') is the probability a student is taking a lab science or is not a member of the Honors College.O D. P(L) is the probability a student is taking a lab science. P(LnH') is the probability a student is taking a lab science and is not a member of the Honors College.c. A student is randomly chosen. Find P(H) and P(HNL) and explain what each number represents.P(H) = (Simplify your answer.)P(HNL)= (Simplify your answer.)Explain what P(H) and P(HNL) represent. Choose the correct answer below.O A. P(H) is the probability a student is a member of the Honors College. P(HnL') is the probability a student is a member of the Honors College or is not taking a lab science.OB. P(H) is the probability a student is a member of the Honors College. P(HNL) is the probability a student is a member of the Honors College and is not taking a lab science.O C. P(H) is the probability a student is not taking a lab science. (HNL) is the probability a student is a member of the Honors College or is not taking a lab science.O D. P(H) is the probability a student is not taking a lab science. P(HNL) is the probability a student is a member of the Honors College and is not taking a lab science.d. A student is randomly chosen. Find P(LH) and P ((LH)') and explain what each number represents.P(LnH)= (Simplify your answer.)P((LOH)=(Simplify your answer.)Oc100QQĽO D.QQ Question listO Question 1O Question 2OQuestion 3Question 4O Question 5O Question 6O Question 7O Question 8O Question 9O Question 10O Question 11O Question 12O Question 13O Question 14O Question 15Quoction 16KA poll of 200 students at a university reveals that 73 are taking a lab science course, and 46 are members of the Honors College, while 19 are taking a lab science and are members of the Honors College. Let L = the event that a student is taking a lab science, and H= the event that a student is a member of the Honors College. Complete parts (a) through (e) below.O B. P(H) is the probability a student is a member of the Honors College. P(HNL) is the probability a student is a member of the Honors College and is not taking a lab science.OC. P(H) is the probability a student is not taking a lab science. (HNL) is the probability a student is a member of the Honors College or is not taking a lab science.O D. P(H) is the probability a student is not taking a lab science. P(HNL) is the probability a student is a member of the Honors College and is not taking a lab science.d. A student is randomly chosen. Find P(LH) and P((LH)') and explain what each number represents.P(LnH) =(Simplify your answer.)P((LnH)') =(Simplify your answer.)Explain what P(LH) and P ((LH)) represent. Choose the correct answer below.O A. P(LnH) is the probability a student is taking a lab science and is a member of the Honors College. P((LH)) is the probability a student is not taking a lab science and is not a member of the Honors College.O B. P(Ln H) is the probability a student is taking a lab science or is a member of the Honors College. P((LH)') is the probability a student is not taking a lab science or is not a member of the Honors College.OC. P(LnH) is the probability a student is taking a lab science and is a member of the Honors College. P ((LH)) is the probability a student is not taking a lab science or is not a member of the Honors College.O D. P(LnH) is the probability a student is taking a lab science or is a member of the Honors College. P((LH)') is the probability a student is not taking a lab science and is not a member of the Honors College.e. Find the odds against each event in parts (c-d) occurring.First write an expression for the odds against H. Select all that apply.A. P(H'):P(H)C. P(H):(1-P(L))E. P(H):(1-P(H'))The odds against H occurring, in lowest terms, are(Type whole numbers.)Next find the odds against HnL' occurring. First write an expression for these odds. Select all that apply.A. (1-P((HOL))):P(HNL)c. P(HNL):(1-P(HOL))E. P(HOL): (1-P((HOL)))The odds against HnL' occurring, in lowest terms, are:-(Type whole numbers.)Next find the odds against L n H occurring. First write an expression for these odds. Select all that apply| A. (1-P(LNH)): P(LNH)C. P(LH):(1-P(LH))E. PLOH):P((LOH))The odds against L n H occurring, in lowest terms, are:-(Type whole numbers.)The odds against (LH)', in lowest terms, are(Type whole numbers.)B. 1-P(H):P(H)D. (1-P(H')):P(H)F. P(H):P(H')B. P(HNL):P((HNL)')D. P((HOL)):P(HOL)F. (1-P(HOL)):P(HOL)B. (1-P((LOH))) :P(LOH)D. PLOH): (1-P((LOH)))F. P((LNH)'):P(LOH)

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