Aparticular leg bone for dinosaur fossils has a mean length of 5 feet with standard deviation of 3 inches. what is the probability that a leg bone is less than 62 inches

The probability of a leg bone measuring less than 62 inches is about 75% (74.86%).

Step-by-step explanation:

To answer this question we can calculate the z-score, then use a table to look up a corresponding percentile using z tables.

The length is a random variable with mean = 60 in and standard deviation of 3 in and we are looking at a particular sample that 62 in long. That sample has the following z value:

The area under the normal distribution curve that corresponds to the z value of 0.67 (using a z table - available on line) is 0.7486. This is the probability that a random sample of a fossil leg length is less that our particular value 62 inches. Roughly speaking, the probability of a leg bone less than 62 in is about 75% (aka 75-th percentile).

maybe showing the graph would

step-by-step explanation:

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