Final answer:
To compute the standard deviation in the number of yellow eggs in samples of size 53, we need to calculate the probability of drawing a yellow marble and use it in the standard deviation formula.
Step-by-step explanation:
To compute the standard deviation in the number of yellow eggs in samples of size 53, we need two pieces of information: the probability of drawing a yellow marble and the total number of trials. In this case, the probability of drawing a yellow marble can be calculated as:
P(Y) = Number of yellow marbles / Total number of marbles = 15 / 90 = 1/6
The standard deviation can be calculated using the formula:
Standard Deviation = sqrt(n * p * (1-p))
where n is the sample size and p is the probability of success in one trial. Substituting the values, we get:
Standard Deviation = sqrt(53 * (1/6) * (5/6)) ≈ 2.65