The histogram below shows 10,000 values of the number of shifts with at least one death out of 257 randomly drawn shifts.

Which do you conclude?

Question

The histogram below shows 10,000 values of the number of shifts with at least one death out of 257 randomly drawn shifts.

Which do you conclude?

BlackTom AI · Accepted Answer

First, consider what the histogram is illustrating: it shows many (10,000) replicates of the count of shifts out of 257 that have at least one death. If the underlying process for each shift is truly random with a fixed probability of at least one death per shift, then the distribution of counts across the 10,000 replicates should resemble what we’d expect under a binomial model with that fixed p, producing a fairly centered, bell-shaped distribution around a plausible mean. 
Option 1: 'Gilbert's shifts were like random draws.' If the histogram centers around a consistent average and resembles a typical binomial-like spread that we would expect from repeated random sampling, this supports the idea that the observed pattern is compatible with randomness rather than unusual clustering. In other words, no strong systematic deviation stands out in the histogram, so the conclusion that the shifts resemble random draws is reasonable.
Option 2: 'Gilbert had too many shifts with at least one death. Her shifts don't look like random draws.' This claim would require the histogram to show a marked departure from the expected variability under randomness—such as a much higher or lower mean, skewness, or unusual clustering that cannot be explained by chance alone. Without seeing such a clear abnormal pattern (e.g., a dramatic shift in the center, heavy tails, or multimodality that contradicts the binomial expectation), this option asserts a problem that the histogram may not actually show. If the observed distribution appears consistent with random variation, labeling it as non-random would be unfounded.
In summary, the crux is whether the observed counts across 10,000 replicates align with what we'd expect from random draws. If they do align — typical, symmetric-ish variation around an average — then option 1 is the better interpretation. If the histogram visibly deviates in a way that cannot plausibly arise from randomness, option 2 would be considered. Since the question asks you to base the conclusion on the histogram itself, look for stability around a central value and a reasonable spread; absence of dramatic deviations keeps option 1 as the more plausible takeaway.

CIS-124-HYA-CRN48380 Section 16 Practice

The histogram below shows 10,000 values of the number of shifts with at least one death out of 257 randomly drawn shifts. Which do you conclude?

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