Answer: 0.01145
Step-by-step explanation:
We use Binomial distribution , where the probability of getting x successes in n trial is given by :-
, p = probability of getting each success in each trial.
As per given
The proportion that a car with a certain protection system will be recovered= p=0.87
n= 8
Let x be the number of cars will be recovered.
Then, the probability that 4 of 8 stolen cars will be recovered:


Hence, the required probability is 0.01145.