Final answer:
To determine how many times to shake a basket of fries when they are done, you need to calculate the z-score. The z-score compares the desired weight to the mean and standard deviation of the fries. Using the formula, we can determine the z-score and find the corresponding probability. In this case, rounding up to the nearest whole number, you would need to shake the basket of fries approximately one time to get the desired weight.
Step-by-step explanation:
To determine the number of times you need to shake a basket of fries, we need to calculate the z-score. The z-score measures how far a value is from the mean in standard deviations. In this case, the mean weight of the fries is 11 ounces and the standard deviation is 2 ounces. The z-score can be calculated using the formula: z = (x - mean) / standard deviation.
Let's assume that the desired weight of the fries is 10 ounces. To calculate the z-score for this weight, we substitute the values into the formula: z = (10 - 11) / 2 = -0.5.
Next, we use a z-score table or calculator to find the corresponding probability. In this case, a z-score of -0.5 corresponds to a probability of approximately 0.3085.
Since the probability of getting the desired weight of 10 ounces is 0.3085, you would need to shake the basket of fries approximately 0.3085 times to get the desired weight. However, since shaking a basket of fries is not quantifiable in fractions, you would need to round up and shake the basket 1 time, ensuring that you shake it enough to get the desired weight.