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4 cards from this section. Quick, good the night before a test.
What is the definition of tail probability?
Think about regions far from the average in a distribution.
For a normally distributed random variable, what does one-tailed probability refer to?
Consider if we're looking at the upper or lower end of the distribution.
What is P(X > x) in a probability distribution?
Think about how total probability sums to one.
True or False: Tail probabilities are concerned with extreme values of a distribution.
Recall the definitions we discussed.
A factory claims 90% of its products meet quality standards. If the defects follow a normal distribution with μ=5 and σ=1.2, what’s the probability of having more than 8 defects?
Normalize the data first and consult the Z-table!
Given a normal distribution with μ = 300 and σ = 50. Find the range of values where there's a 95% probability that a value will fall.
Understand two-tailed Z-scores in relation to the mean.
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