1. If it is known that X has a normal distribution with a mean of 30 and a
variance of 100, calculate:
a. $P(X > 40)$
b. $P(X < 25)$
c. $P(20 < X < 50)$
2. It is known that statistics exam scores are distributed
normally with a mean of 60 and a standard deviation of 15.
If provisions are made, 35% of students will get an A, 40%
of B, 20% of C and 5% of students with D, determine
the limits. test scores to get A, B, C, and D.
3. The probability of each shot at the basket in a
basketball game is 0.3. If you shoot 10 times, calculate:
a. Probability of all balls going into the basket:
b. The probability of at least 3 balls going into the basket.
