Assume X is Normally distributed with mean 0 and standard deviation
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Assume X is Normally distributed with mean 0 and standard deviation

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)

Hint
StatisticsIn a normally distributed data set, you can find the probability of a particular event as long as you have the mean and standard deviation. With these, you can calculate the z-score using the formula z = (x – μ (mean)) / σ (standard deviation).The standard normal distribution, also called the z-distribution, is a special normal distribution where the mean is 0 and the standard deviation ...

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