True/False: A variable X distributes as a N(6,2) --> P(Z<0) = 0.5

True/False: A variable X follows a N(9, 3) --> (X > 3) = 0.5

1. We have a variable that is normally distributed with mean 35 and standard deviation 5.

Find the probability that x is smaller than 34.

For what value of x the probability of occurrence of that value or below is 0,05.

2. The waiting time for a bus line follows an approximately normal distribution with an average of 10 minutes and a standard deviation of 2 minutes. Knowing this, answer the following:

We consider a bus to be unpunctual if the waiting time is above 13 minutes. What percentage of buses are unpunctual?

What percentage of buses are there between 9 and 11 minutes of waiting time? From which waiting time do we find the 30% of buses that have higher waiting time?