The probability that a vehicle will change lanes while making a turn is 55%. Suppose a random sample of 7 vehicles are observed making turns at a busy intersection. (a) Find the probability that no more than 4 vehicles will change lanes while making the turn.

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21-12-2021
Mathematics

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The probability that a vehicle will change lanes while making a turn is 55%. Suppose a random sample of 7 vehicles are observed making turns at a busy intersection. (a) Find the probability that no more than 4 vehicles will change lanes while making the turn.

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francocanacari francocanacari · Answer 1 · 2021-12-27T13:08:34+01:00

The probability that no more than 4 vehicles will change lanes is 50.71%.

Since the probability that a vehicle will change lanes while making a turn is 55%, supposing a random sample of 7 vehicles are observed making turns at a busy intersection, to find the probability that no more than 4 vehicles will change lanes while making the turn, the following calculation must be performed:

((0.55 x 4) + (0.45 x 3)) / 7 = X
0.5071 = X

Therefore, the probability that no more than 4 vehicles will change lanes is 50.71%.

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