In a genetics experiment on peas, one sample of offspring contained 421 green peas and 166 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 3/4 that was expected ?
421/(421+166) = 421/587 = ?
0.717
A geneticist conducts an experiment with beans, one sample of offspring consisted of 444 green beans and 150 yellow beans. Based on these results, estimate the probability of getting an offspring bean that is green.
In a genetics experiment on peas, one sample of offspring contained 374 green peas and 149 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is yellow. Is the result reasonably close to the value of 1/4 that was expected?
To estimate the probability of getting a green pea, we can use the observed data from the experiment. In this case, out of the total number of peas in the sample, we had 421 green peas and 166 yellow peas.
To calculate the probability of getting a green pea, we divide the number of green peas by the total number of peas:
Probability of getting a green pea = Number of green peas / Total number of peas
In this case:
Probability of getting a green pea = 421 / (421 + 166) = 421 / 587 ≈ 0.717
So, the estimated probability of getting a green pea is approximately 0.717 or 71.7%.
Now, let's compare this estimate to the expected value of 3/4 or 0.75.
The result of 0.717 is not exactly the same as 3/4 (0.75), but it is reasonably close. The difference between the estimated probability and the expected value could be due to random variation inherent in the experiment and the limited sample size. However, with a larger sample size, the estimated probability would likely converge towards the expected value.
Therefore, even though the estimate is not exactly 3/4, it is reasonably close and suggests that the observed data aligns reasonably well with the expected value.