Solved: Emily and Olivia are competing in a javelin-throwing competition. The distances,... [IB Mathematics Analysis and Approaches (AA)]

Solved: Emily and Olivia are competing in a javelin-throwing competition. The distances,... [IB Mathematics Analysis and Approaches (AA)] | RevisionDojo

Emily and Olivia are competing in a javelin-throwing competition. The distances, E metres, thrown by Emily can be modelled by a normal distribution with mean 56.5 and standard deviation 3. The distances, O metres, thrown by Olivia can be modelled by a normal distribution with mean 57.5 and standard deviation 1.8. In the first round of competition, each competitor must have five throws. To qualify for the next round of competition, a competitor must record at least one throw of 60 metres or greater in the first round. Find the probability that only one of Emily or Olivia qualifies for the next round of competition.

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Question

HLPaper 2

Emily and Olivia are competing in a javelin-throwing competition.

The distances, $E$ metres, thrown by Emily can be modelled by a normal distribution with mean $56.5$ and standard deviation $3$ .

The distances, $O$ metres, thrown by Olivia can be modelled by a normal distribution with mean $57.5$ and standard deviation $1.8$ .

In the first round of competition, each competitor must have five throws. To qualify for the next round of competition, a competitor must record at least one throw of $60$ metres or greater in the first round.

Find the probability that only one of Emily or Olivia qualifies for the next round of competition.

Mathematics Analysis and Approaches (AA) International Baccalaureate (IB) Practice Question: 1. Emily and Olivia are competing in a javelin-throwing competition. The distances, E metres, thrown by Emily can be mod...