The quality control division evaluated reliability of a new cell phone model. In a random sampling of phones packaged and ready to ship to stores, the division found 28 did not turn on, 112 had minor software issues, and 735 had all desired functionality.
What is a reasonable probability model for the quality of the cell phones that were sent to stores?
Percent that will require fixes :
Percent that function :
Percent that wont turn on :
I mainly just need help with figuring out what to divide , is 735 the total and I put the numbers over it ??
the total is 875
the percent that won’t turn on is 0.032, the percent that require fixes is 0.128, and the percent that function is 0.84
To find the percentages, you need to divide the number of phones with each characteristic by the total number of phones sampled.
In this case, the total number of phones sampled is the sum of the number of phones that did not turn on, had minor software issues, and had all desired functionality, which is:
Total = 28 (didn't turn on) + 112 (minor software issues) + 735 (all desired functionality) = 875
To find the percentage that will require fixes, you divide the number of phones with minor software issues by the total and multiply it by 100:
Percent requiring fixes = (112 / 875) * 100 = 12.80%
To find the percentage that function correctly, you divide the number of phones with all desired functionality by the total and multiply it by 100:
Percent functioning correctly = (735 / 875) * 100 = 84.00%
To find the percentage that won't turn on, you divide the number of phones that did not turn on by the total and multiply it by 100:
Percent not turning on = (28 / 875) * 100 = 3.20%
Therefore, the reasonable probability model for the quality of the cell phones sent to stores would be:
- 12.80% of the phones are expected to require fixes
- 84.00% of the phones are expected to function correctly
- 3.20% of the phones are expected to not turn on.