Answer:
The probability that at most 6 will come to a complete stop is 0.7857.
Step-by-step explanation:
Let <em>X</em> = number of drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible.
The probability of the event <em>X</em> is, P (X) = <em>p</em> = 0.25.
The sample of drivers randomly selected is of size, <em>n</em> = 20.
The random variable <em>X</em> follows a binomial distribution with parameters <em>n</em> = 6 and <em>p</em> = 0.25.
The probability function of Binomial distribution is:
Compute the probability that at most 6 will come to a complete stop as follows:
P (X ≤ 6) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3)
+ P (X = 4) + P (X = 5) + P (X = 6)
Thus, the probability that at most 6 will come to a complete stop is 0.7857.