Question

Question 9

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.
Calculate the expected value.

Answer 1

3.85 (rounded to 4 cars)

Explanation:

Let X be the discrete random variable the number of vehicles changing lanes

X~B(7, 0.55)

The expected value is found by:

E(X) = 7 × 0.55

E(X) = 3.85