Since your are OOS, please be aware of the high costs of attending UCB or any other UC school. UC’s offer little to no financial aid, so you should expect to pay around $65K+/year to attend. Make sure that UCB is affordable before worrying about your chances of getting into such a competitive school. For Engineering, consider UCB a Reach school regardless of your stats.
2018 Freshman admit rates for UC GPA of 4.20 or above capped weighted and not major specific so Engineering would have a lower admit rate than 37%.