Earlier quoted context omitted.
We have some idea of a crash rate for safe airplanes. Something like: P(Crash|Miles Flow & Hull Age) If we assume this airplane is safe, we can apply that probability to it and then ask P(2 Crashes|N Miles & 350 New Planes). You would then have a probability for this just being bad luck, and compare that against your prior that this is a safe plane. I haven’t done the math, but my gut says it would point to grounding…
The mean of a Beta Distribution (2, 348) ( https://www.wolframalpha.com/input/?i=beta+distribution+(2,+... ) is roughly half a percent, much higher than the 1 in 11 million across all flights ( https://www.quora.com/What-is-the-probability-for-an-airplan... ). (You can pretty much always make statistical inference, with uncertainty going up with the lack of data)
If we assume that the average MAX 8 has been in service for a year (first delivery was a little less than 2 years ago), and conducts 4 flights a day, we get this [0] - a mean of 1/250000. Still worse than 1/11000000, but only by a factor of 50 instead of 50 thousand.
0: https://www.wolframalpha.com/input/?x=0&y=0&i=beta+distribut...