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Stevbo Stevbo
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Posts: 100
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7 years ago
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

It has been observed that electrical connectors manufactured by Jolt Electrical Supply Company last an average of 18.2 months and follow a normal distribution with a standard deviation of 1.7 months. Jolt agrees to replace any connector that fails within 19 months. Out of 500 connectors sold, how many does Jolt expect to replace, on average? Place your answer, rounded to the nearest whole number, in the blank. For example, 123 would be a legitimate answer.
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Educator
7 years ago
z(19) = (19-18.2)/1.7 = 0.4706
P(x< 19) = P(z< 0.4706) = 0.6810
So 68.1% will last up to 19 mths.
So 0.3190 will fail in that period.
Jolt can expect to replace 0.319*500 = 160 units.
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