Freya counted then number of cars that came to a complete stop at stop sign. of the 25 cars, 13 cars came to a complete stop. if Freya observes the next 75 cars that reach the stop sign, how many cars can she expect to come to a complete stop?

Respuesta :

The expected value can be calculated with the formula

[tex]E(x)=x\cdot p(x)[/tex]

Where p represents the probability, and x represents the new event.

Basically, we just have to find the probability of the 13 cars

[tex]p(x)=\frac{13}{25}=0.52[/tex]

Then, we multiply by the numbers of cars x = 75.

[tex]E(75)=75\cdot0.52=39[/tex]

Hence, the right answer is 39. The expected value is 39.