Question

in a genetics experiment on peas, one sample of offspring contained 405 green peas and 38 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 0.914 (type an integer or decimal rounded to three decimal places as needed.) is this probability reasonably close to \\( \frac{3}{4} \\)? choose the correct answer below \\( \bigcirc \\) a. yes, it is reasonably close \\( \bigcirc \\) b. no, it is not reasonably close

Explanation:

For the probability calculation:

Step1: Find total number of peas

Total peas = Green peas + Yellow peas = \( 405 + 38 = 443 \)

Step2: Calculate probability of green pea

Probability = \( \frac{\text{Number of green peas}}{\text{Total number of peas}} = \frac{405}{443} \approx 0.914 \)

For the closeness to \( \frac{3}{4} \):

First, calculate \( \frac{3}{4}=0.75 \). The calculated probability is \( 0.914 \). The difference between \( 0.914 \) and \( 0.75 \) is \( 0.914 - 0.75 = 0.164 \), which is relatively large, so it is not reasonably close to \( \frac{3}{4} \).

Answer:

The probability of getting a green pea is approximately \( 0.914 \).
For the closeness question: B. No, it is not reasonably close.