Question

a) Before books aimed at preschool children are marketed, reactions are obtained from a panel of children. These reactions are categorised as favourable, neutral or unfavourable. Subsequently, book sales are categorised as high, moderate or low according to the number of units sold. Similar panels have evaluated 1,000 books in the past. The table below summarises the reactions and subsequent sales levels of the books: Panel Reaction Sales Favourable Neutral Unfavourable High 173 101 61 Moderate 88 211 70 Low 42 113 141 i. Calculate the probability that sales of a book will be moderate ii. Calculate the probability that the panel reaction will be anything other than neutral iii. Calculate the probability that the sales will be low if the panel reaction is unfavourable iv. Define the meaning of independent events and, with the use of an example, indicate whether the Panel Reaction and the level of Sales are independent events.

          a) Before books aimed at preschool children are marketed, reactions are obtained from a panel of children. These reactions are categorised as favourable, neutral or unfavourable. Subsequently, book sales are categorised as high, moderate or low according to the number of units sold. Similar panels have evaluated 1,000 books in the past. The table below summarises the reactions and subsequent sales levels of the books:

Panel Reaction
Sales Favourable Neutral Unfavourable
High 173 101 61
Moderate 88 211 70
Low 42 113 141

i. Calculate the probability that sales of a book will be moderate
ii. Calculate the probability that the panel reaction will be anything other than neutral
iii. Calculate the probability that the sales will be low if the panel reaction is unfavourable
iv. Define the meaning of independent events and, with the use of an example, indicate whether the Panel Reaction and the level of Sales are independent events.

a) Before books aimed at preschool children are marketed, reactions are obtained from a panel of children. These reactions are categorised as favourable, neutral or unfavourable. Subsequently, book sales are categorised as high, moderate or low according to the number of units sold. Similar panels have evaluated 1,000 books in the past. The table below summarises the reactions and subsequent sales levels of the books:

Panel Reaction
Sales Favourable Neutral Unfavourable
High 173 101 61
Moderate 88 211 70
Low 42 113 141

i. Calculate the probability that sales of a book will be moderate
ii. Calculate the probability that the panel reaction will be anything other than neutral
iii. Calculate the probability that the sales will be low if the panel reaction is unfavourable
iv. Define the meaning of independent events and, with the use of an example, indicate whether the Panel Reaction and the level of Sales are independent events.

Added by Jodi R.

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