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A traffic engineer records a sample of the types of vehicles that cross a bridge. she counts 112 passenger cars, 18 light trucks, and 20 heavy trucks. she wants to make a spinner to model the probability of each type of vehicle crossing the bridge. Determine the percent of each sector of the spinner to the nearest percent. To the nearest tenth of a percent, what is the probability that at a given moment, a light truck crosses the bridge followed by a heavy truck?

Respuesta :

texaschic101
112 + 18 + 20 = 150 total vehicles

112/150 = 0.746 = 74.6% rounds to 75% passenger cars
18/150 = 0.12 = 12% light trucks
20/150 = 0.133 = 13.3% rounds to 13% heavy trucks

P(light truck followed by heavy truck) = 18/150 * 20/149 = 12/745 or 1.6%...I am not 100% sure on this 2nd part

The probability of passenger cars, light trucks, and heavy trucks on the spinner is 75%, 12% and 13% respectively.

How to find the probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The number of favorable outcome of an event is divided by the total number of outcome of that event to find its probability.

A traffic engineer records a sample of the types of vehicles that cross a bridge.

The vehicles she counts as,

  • 112 passenger cars,
  • 18 light trucks,
  • 20 heavy trucks.

The total number of vehicles are,

[tex]n=112+18+20\\n=150[/tex]

She wants to make a spinner to model the probability of each type of vehicle crossing the bridge.  The probability of passenger cars is,

[tex]P_p=\dfrac{112}{150}\\P_p=0.746\\P_p=74.6\%\approx75\%[/tex]

The probability of light truck is,

[tex]P_l=\dfrac{18}{150}\\P_l=0.12\\P_l=12\%[/tex]

The probability of heavy truck is,

[tex]P_h=\dfrac{112}{150}\\P_h=0.133\\P_h=13.3\%\approx13\%[/tex]

The probability that at a given moment, a light truck crosses the bridge followed by a heavy truck can be find out with the following expression,

[tex]P=\dfrac{18}{150}\times\dfrac{20}{149}\\P=0.016\\P=1.6\%[/tex]

Learn more about the probability here;

https://brainly.com/question/24756209

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