Question

in a genetics experiment on peas, one sample of offspring contained 450 green peas and 153 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
(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

The total number of peas is the sum of green and yellow peas. So, $450 + 153=603$.

Step2: Calculate probability of green peas

The probability $P$ of getting a green pea is the number of green peas divided by the total number of peas. So, $P=\frac{450}{603}\approx0.746$.

Step3: Compare with expected value

The expected value is $\frac{3}{4} = 0.75$. The difference between the calculated probability $0.746$ and the expected value $0.75$ is $|0.75 - 0.746|=0.004$, which is a small difference.

Answer:

The probability of getting a green pea is approximately $0.746$.
B. Yes, it is reasonably close