Atraffic light near a museum is green for 30 seconds, yellow for 5 seconds, and red for 15 seconds.
if 8 vehicles approach the signal, the probability that 3 of them are stopped by the red light is

If 8 vehicles approach the signal, the probability that 3 of them are stopped by the red light is:

                                  0.25412184

Here we need to use the binomial theorem.

i.e. the probability of k successes out of total n experiments is calculated by the formula:

where p is the probability of successes.

Here we have p=Probability that signal is red.

i.e. p=15/50=3/10=0.3

Hence, 1-p=0.7

Also we have: n=8

and k=3

Hence,

                  Hence, the probability is:

                       0.25412184

salary

step-by-step explanation: