Question

in a genetics experiment on peas, one sample of offspring contained 377 green peas and 482 yellow peas. using those results, estimate the probability of getting an offspring pea that is green. is the result reasonably close to the expected value of $\frac{3}{4}$?
the probability of getting a green pea is approximately 0.439. (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.
a. yes, it is reasonably close.
b. no, it is not reasonably close.

Explanation:

Step1: Calculate total number of peas

$377 + 482=859$

Step2: Calculate probability of green pea

$P(\text{green})=\frac{377}{859}\approx0.439$

Step3: Compare with expected value

The expected value is $\frac{3}{4}= 0.75$. The difference between $0.75$ and $0.439$ is $|0.75 - 0.439|=0.311$. Since this difference is relatively large, the result is not reasonably close.

Answer:

B. No, it is not reasonably close.