Probability & Statistics Flashcards
7 cards from real BSIE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Probability & Statistics flashcards as text
A process has a defect rate of 2%. In a sample of 200 items, what is the expected number of defects?
Answer: 4
Expected value = n × p = 200 × 0.02 = 4 defects.
Which measure of central tendency is most resistant to outliers?
Answer: Median
The median is resistant to outliers because it depends only on the middle value(s), not the magnitude of extreme values.
In a normal distribution, approximately what percentage of data falls within ±2 standard deviations of the mean?
Answer: 95%
The empirical rule states that approximately 95% of data falls within ±2 standard deviations of the mean.
Two events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.4, what is P(A ∪ B)?
Answer: 0.70
For mutually exclusive events, P(A ∪ B) = P(A) + P(B) = 0.3 + 0.4 = 0.7.
A production line fills bottles with a mean of 500 mL and standard deviation of 5 mL. What is the z-score for a bottle containing 512 mL?
Answer: 2.4
z = (x − μ) / σ = (512 − 500) / 5 = 12 / 5 = 2.4.
Which distribution is most appropriate to model the number of customer arrivals at a service desk per hour?
Answer: Poisson
The Poisson distribution models the count of independent events occurring in a fixed interval of time.
The coefficient of variation (CV) is defined as:
Answer: Standard deviation divided by mean, expressed as a percentage
CV = (σ / μ) × 100%, providing a relative measure of dispersion independent of units.