Question

in a genetics experiment on peas, one sample of offspring contained 401 green peas and 407 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 0.496
(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:

Step1: Calculate total peas

Total peas = 401 (green) + 407 (yellow) = 808.

Step2: Find green probability

Probability (green) = $\frac{401}{808} \approx 0.496$.

Step3: Compare with $\frac{3}{4}$

$\frac{3}{4} = 0.75$. The difference between 0.75 and 0.496 is 0.254, which is significant. So 0.496 is not close to 0.75.

Answer:

B. No, it is not reasonably close