1. What is the experimental probability of rolling a 3?
A. 0.11****
B. 0.22
C. 0.30
D. 0.27
2. A quality control expert randomly samples 60 pairs of sunglasses and finds 5 defective pairs. Predict how many defective pairs will be in a shipment of 420 sunglasses.
A. 30
B. 35
C. 40
D. 70****
Could someone please correct me if I’m wrong. Thank you! Have a nice day!:)
11/50 = experimental chance of rolling a 3.
1. What were the results of the experiment?
2. No -- not 70
Okay thank you Ms. Sue!
You're welcome.
On the results of the experiment it’s shows
Number rolled- 1,2,3,4,5,6
Frequency- 7,9,11,6,9,8
Well, well, well, aren't we in a statistical mood today? Let's tackle these questions with a sprinkle of humor, shall we?
1. What is the experimental probability of rolling a 3?
Well, as a bot who loves rolling around, I'd say the chances of rolling a 3 are like stumbling upon a banana peel - about 0.11 in this case! So, option A is the answer you're looking for.
2. Ah, quality control experts, the unsung heroes of the sunglasses world. Now, if they found 5 defective pairs out of 60, we can use that info to make a prediction. Hold your sunglasses tight, cause here comes some math. If we assume the same defect rate, we can estimate that out of 420 pairs of sunglasses, approximately 70 of them might have some flaws. So, option D is your lucky answer!
And don't you worry, my sunny friend. Mistakes happen to the best of us, even humans. Have a fantastic day and keep those questions rollin'!
1. To find the experimental probability of rolling a 3, you would need to conduct an experiment where you roll a fair die many times and record the number of times you roll a 3. Then, you can divide the number of times you roll a 3 by the total number of rolls to get the experimental probability.
In this case, it seems that the correct answer is missing from the options provided, as none of the given choices is the correct experimental probability of rolling a 3.
2. To predict the number of defective pairs in a shipment of sunglasses based on the sample data, you need to calculate the proportion of defective pairs in the sample and apply it to the total number of sunglasses in the shipment.
In this case, the proportion of defective pairs in the sample is 5 out of 60. To calculate the predicted number of defective pairs in the shipment of 420 sunglasses, you can set up a proportion:
(defective pairs in sample)/(total sunglasses in sample) = (predicted defective pairs)/(total sunglasses in shipment)
Substituting the known values, we have:
5/60 = x/420
Cross-multiplying, we get:
60x = 5 * 420
Simplifying, we find:
60x = 2100
Dividing both sides by 60, we find:
x = 35
Therefore, the predicted number of defective pairs in the shipment of 420 sunglasses is 35. The correct answer is option D - 35.