A Recent Survey in Victoria Revealed That 60% of the Vehicles

question 55

Essay

A recent survey in Victoria revealed that 60% of the vehicles travelling on highways, where speed limits are posted at 100 kilometres per hour, were exceeding the limit. Suppose you randomly record the speeds of 10 vehicles travelling on the Hume Highway, where the speed limit is 100 kilometres per hour. Let X denote the number of vehicles that were exceeding the limit. Find the following probabilities.
a. P(X = 10).
b. P(4 < X < 9).
c. P(X = 2).
d. P(3 $\le$ X $\le$ 6).

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Definitions:

Color Blind

The inability to perceive differences between some or all colors that others can distinguish.

Trichromatic Theory

The theory that color vision is made possible by three types of cones, some of which respond to red light, some to green, and some to blue.

Active Touching

The process of using one’s own touch or motion to explore objects and environment, playing a critical role in sensory perception.