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In the probability distribution histogram, the age distribution of giraffes at a zoo is shown. What is P(4)?

A) P(4) = 0.25
B) P(4) = 0.1
C) P(4) = 0.35
D) P(4) = 0.05

1 Answer

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Final answer:

To determine P(4) for the age distribution of giraffes, additional information is required to establish whether the distribution is continuous or discrete, and to view the corresponding histogram. If continuous, P(4) would theoretically be zero. If discrete, the precise value would be found on the histogram.

Step-by-step explanation:

In the given question, the student is asked about the probability P(4) given a probability distribution histogram for the age of giraffes at a zoo. Since it's a histogram dealing with a specific value, it's essential to know whether the underlying distribution is continuous or discrete. However, in the provided text snippets, there is a theme that for a continuous random variable, the probability of it taking on any single value is zero (P(x = c) = 0). Assuming we are dealing with a continuous distribution and referring to the first part of the provided text (Solution 5.8), we can see that the question might be incorrectly phrased as P(4) is not directly provided and would theoretically be 0 for a continuous distribution.

Instead, we can compute probabilities over an interval (P(c < x < d)). If the distribution is instead discrete, then the value would be directly obtainable from the histogram. The information given is not sufficient to accurately determine P(4) without the histogram image or further context. A histogram would provide the exact probability as the area of the bin corresponding to age 4. For correct assistance, additional information or clarification regarding the nature of the distribution and histogram data should be provided by the student.

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