The weights of cars passing over a bridge have a mean of 3,550 pounds and
standard deviation of 870 pounds. Assume that the weights of the cars passing over
the bridge are normally distributed. Use a calculator or online z-score calculator, to
find the approximate probability that the weight of a randomly-selected car passing
over the bridge is more than 4,000 pounds.
O a) 39%
Ob) 30%
c) 69%
d) 50%

Respuesta :

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

Option C is the correct answer.

What is Probability ?

Probability is defined as the study of likeliness of an event to happen.

It has a range of 0 to 1.

It is given in the question that

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.

mean  = 3550

standard deviation,  = 870

Observed value, X = 4000

Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517

Probability of weight above 4000 lb

= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

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