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# Thread: maximising probability of an outcome w/ different variables ???

1. hello i dnt rlly know how to approach this question or what i should even start to do, so help would be greatly appreciated, the problem is as follows:

A clown is fired from a cannon towards a cream pie, centred a distance of 15 metres from the
cannon. The pie has a radius of 1 metre and the horizontal distance R the clown travels is
given by:

ln R = −2.282 + 2lnu+ ln(sin2θ)+ε

where u is the initial velocity in metres per second, θ is the angle of the cannon in radians,
and ε is an error term with distribution N(0,0.1).
The initial velocity has three possible settings: 5, 10 or 15 m/s. The angle of the cannon also
has three possible settings: 0.349, 0.436 or 0.524 radians. What combination of settings will
maximise the probability that the clown will land in the pie, and what is that probability?

thank you!!!!!  Reply With Quote

2.

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