Question

in a genetics experiment on peas, one sample of offspring contained 384 green peas and 138 yellow peas. based on these 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 0.730 (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. no, it is not reasonably close
b. yes, it is reasonably close

Explanation:

Step1: Calculate total number of peas

$384 + 138=522$

Step2: Calculate probability of green peas

$\frac{384}{522}\approx0.736$

Step3: Compare with expected value

The expected value is $\frac{3}{4}= 0.75$. The difference between $0.736$ and $0.75$ is $|0.75 - 0.736|=0.014$. Since this difference is relatively small, the probability is reasonably close.

Answer:

B. Yes, it is reasonably close