Problem

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In a genetics experiment on peas, one sample of offspring contained 358 green peas and 3 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of $\frac{3}{4}$ that was expected?
The probability of getting a green pea is approximately 0.992 . (Type an integer or decimal rounded to three decimal places as needed.)
9 Is this probability reasonably close to $\frac{3}{4}$ ? Choose the correct answer below.
10
A. Yes, it is reasonably close.
B. No, it is not reasonably close.

Answer

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Answer

\(\boxed{\text{The probability of getting a green pea is approximately 0.992, which is not reasonably close to }\frac{3}{4}.\text{ Therefore, the correct answer is B. No, it is not reasonably close.}}\)

Steps

Step 1 :First, calculate the total number of peas, which is the sum of green peas and yellow peas. In this case, there are 358 green peas and 3 yellow peas, so the total number of peas is \(358 + 3 = 361\).

Step 2 :Next, calculate the probability of getting a green pea. This is done by dividing the number of green peas by the total number of peas. So, the probability of getting a green pea is approximately \(\frac{358}{361} = 0.992\).

Step 3 :Compare this probability with the expected probability of \(\frac{3}{4} = 0.75\).

Step 4 :Finally, determine if the calculated probability is reasonably close to the expected probability. In this case, 0.992 is not reasonably close to 0.75.

Step 5 :\(\boxed{\text{The probability of getting a green pea is approximately 0.992, which is not reasonably close to }\frac{3}{4}.\text{ Therefore, the correct answer is B. No, it is not reasonably close.}}\)

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