A quality control specialist for a large computer store conducted a random sample of 150 laptops from its stock. She found 3 did not turn on and 5 required system updates to run properly. What is a reasonable probability model for the laptops the store has in stock?
Select all that apply.
3.3% of the laptops will require system updates.
92% of the laptops will function properly.
94.7% of the laptops will function properly.
96.6% of the laptops will function properly.
2% of the laptops will require system updates.
5.3% of the laptops will require system updates.
Help me please! I think its the first 3 but if someone could double check for me it would be appreciated !!!
150 - 5 = 145
145/150 = 96.7 100 -96.7 = 3.3 % need updates
150 - 8 = 142
142/150 = 94.7% worked properly
To determine the probability model for the laptops in stock, we can use the information given. The quality control specialist conducted a random sample of 150 laptops and found that 3 did not turn on and 5 required system updates.
The probability of laptops not turning on can be calculated as (number of laptops not turning on) / (total number of laptops in the sample) = 3 / 150 = 0.02 = 2%. Thus, 2% of the laptops in stock may not turn on.
The probability of laptops requiring system updates can be calculated as (number of laptops requiring updates) / (total number of laptops in the sample) = 5 / 150 = 0.0333... = 3.3% (rounded to one decimal place). Therefore, approximately 3.3% of the laptops in stock may require system updates.
The probability of laptops functioning properly can be calculated as 1 minus the sum of probabilities of laptops not turning on and laptops requiring system updates. Thus, the probability of laptops functioning properly is 1 - 0.02 - 0.0333... = 0.947 = 94.7%.
Based on these calculations, the correct options are:
- 3.3% of the laptops will require system updates.
- 94.7% of the laptops will function properly.
- 2% of the laptops will require system updates.
Therefore, your initial selection of the first three options is correct.