Two sharpshooters will simultaneously shoot once at a target. Let Xi , i = 1, 2, be marksman i's horizontal error, measured in meters. If the target's position is (a, b), and marksman i's shot ends up at (x, y), then Xi = (x - a). These errors are modeled by X1 ~ N(0, 0.5) and X2 ~ N(0, 1). What is the probability that both shots will be within 1 meter of the target, in the horizontal direction?
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Two sharpshooters will simultaneously shoot once at a target.
Let Xi , i = 1, 2, be marksman i's horizontal error, measured in meters. If the target's position is (a, b), and marksman i's shot ends up at (x, y), then Xi = (x - a).
These errors are modeled by X1 ~ N(0, 0.5) and X2 ~ N(0, 1).
What is the probability that both shots will be within 1 meter of the target, in the horizontal direction?
Given that, the errors are modelled by .
To solve this problem z table values are used.
Calculate the probability that both shots will be within 1 meter of the target as shown below.
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