(i) \( \text{CH}_3\text{CH} = \text{CH}_2 \)
\( \xrightarrow{\text{HBr, Peroxide}} \) ‘A’ \( \xrightarrow{\text{aq. KOH}} \) ‘B’
(ii) \( \text{CH}_3\text{CH}_2\text{CH(Cl)CH}_3 \)
\( \xrightarrow{\text{alc. KOH}, \Delta} \) ‘A’ \( \xrightarrow{\text{HBr}} \) ‘B’
(iii) ‘A’ \( \xrightarrow{\text{Mg}} \) \( \text{CH}_3\text{CH}_2\text{CH}_2\text{MgCl} \) \( \xrightarrow{\text{H}_2\text{O, H}^+} \) ‘B’ (Main product)
(i) \( \text{CH}_3\text{CH} = \text{CH}_2 + \text{HBr (Peroxide)} \) \( \xrightarrow{} \) \( \text{CH}_3\text{CH}_2\text{CH}_2\text{Br} \) (‘A’) \( \xrightarrow{\text{aq. KOH}} \) \( \text{CH}_3\text{CH}_2\text{CH}_2\text{OH} \) (‘B’)
(ii) \( \text{CH}_3\text{CH}_2\text{CH(Cl)CH}_3 + \text{alc. KOH} \) \( \xrightarrow{} \) \( \text{CH}_3\text{CH} = \text{CH}\text{CH}_3 \) (‘A’) \( \xrightarrow{\text{HBr}} \) \( \text{CH}_3\text{CHBrCH}_2\text{CH}_3 \) (‘B’)
(iii) \( \text{CH}_3\text{CH}_2\text{CH}_2\text{Br} \) (‘A’) \( + \text{Mg} \) \( \xrightarrow{} \) \( \text{CH}_3\text{CH}_2\text{CH}_2\text{MgBr} \) \( \xrightarrow{\text{H}_2\text{O}/\text{H}^+} \) \( \text{CH}_3\text{CH}_2\text{CH}_3 \) (‘B’)
An aromatic compound ‘A’ with molecular formula C8H8O gives positive 2,4-DNP test. It gives yellow precipitate of compound ‘B’ on treatment with sodium hypoiodite. Compound ‘A’ does not react with Tollen’s or Fehling’s reagent; on drastic oxidation with KMnO4 it forms a carboxylic acid ‘C’. Elucidate the structures of A, B, and C. Also give their IUPAC names.
Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health and 100 had a poor health record.
Let \( A_1 \): People with good health,
\( A_2 \): People with average health,
and \( A_3 \): People with poor health.
During a pandemic, the data expressed that the chances of people contracting the disease from category \( A_1, A_2 \) and \( A_3 \) are 25%, 35% and 50%, respectively.
Based upon the above information, answer the following questions:
(i) A person was tested randomly. What is the probability that he/she has contracted the disease?}
(ii) Given that the person has not contracted the disease, what is the probability that the person is from category \( A_2 \)?