Practice Test GeeksBSIE - Bachelor of Science in Industrial Engineering Practice Test
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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

  1. The power of a statistical test is defined as:

    Answer: 1 − β (one minus the Type II error probability)

    Power = 1 − β, the probability of correctly rejecting a false null hypothesis.

  2. In a 2×2 contingency table, the chi-square test of independence assesses:

    Answer: Whether two categorical variables are associated

    The chi-square test of independence determines whether the distribution of one categorical variable differs across levels of another.

  3. A negative covariance between two random variables X and Y indicates:

    Answer: When X is above its mean, Y tends to be below its mean

    Negative covariance means that high values of X tend to be paired with low values of Y, indicating an inverse linear relationship.

  4. Which sampling method divides the population into subgroups and randomly samples from each subgroup proportionally?

    Answer: Stratified sampling

    Stratified sampling divides the population into strata (subgroups) and draws random samples from each, ensuring representation of all subgroups.

  5. The interquartile range (IQR) is calculated as:

    Answer: Q3 − Q1

    IQR = Q3 − Q1, representing the spread of the middle 50% of the data.

  6. For a Poisson random variable with mean λ = 3, what is the variance?

    Answer: 3

    For a Poisson distribution, the mean and variance are both equal to λ, so Var(X) = 3.

  7. The coefficient of determination R² in regression analysis measures:

    Answer: The proportion of variance in y explained by x

    R² represents the proportion of total variability in the response variable explained by the regression model.