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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of tail probability?
💡 Hint: Think about regions far from the average in a distribution.
Question 2
Easy
For a normally distributed random variable, what does one-tailed probability refer to?
💡 Hint: Consider if we're looking at the upper or lower end of the distribution.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is P(X > x) in a probability distribution?
- P(X ≤ x)
- 1 - P(X ≤ x)
- P(X = x)
💡 Hint: Think about how total probability sums to one.
Question 2
True or False: Tail probabilities are concerned with extreme values of a distribution.
- True
- False
💡 Hint: Recall the definitions we discussed.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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?
💡 Hint: Normalize the data first and consult the Z-table!
Question 2
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.
💡 Hint: Understand two-tailed Z-scores in relation to the mean.
Challenge and get performance evaluation