Question 4
a) Assume X is Normally distributed with mean 0 and standard deviation 1. What is the probability that X > 2?
b) Assume X is Normally distributed with mean 5 and standard deviation 1. What is the probability that 4 < X < 6?
c) In a radio quiz, contestants need to guess five digits correctly. Assuming a 10% chance of being correct for each digit, what is the probability of guessing all five digits correctly?
d) When rolling three die, what is the probability of getting three sixes. (Assume the probability of one six is 1/6)
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