Answer:
The probability is 0.984
Step-by-step explanation:
From the given data there will be 3 tries. at 0 minutes, 5 minutes and 10 minutes
Probability of successful start is 0.75, this means probability of failed start will be 1-0.75 = 0.25
In the first attempt at 0 minute, the probability is 0.75
At 5 minute which is second trial, probability is (0.75)(0.25)
At 10 minute, which is third trial, probability is (0.75)(0.25)(0.25)
mathematically the probability of starting the engine in 10 minutes = (1 - probability of not starting the engine in 10 minutes)
This means the probability of failure in the third attempt would be (1-0.75)^3 = 0.25^3
The probability that the engine will launch in 10 minutes is thus;
1- 0.25^3 = 0.984
