Once a computer worm infects a personal computer via an infected e-mail message, it sends a copy of itself to 100 e-mail address
1 answer:
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Answer:
a: 0.9544 9 within 8 units)
b: 0.9940
Step-by-step explanation:
We have µ = 300 and σ = 40. The sample size, n = 100.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.9544
Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find
P(289 < x < 311)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(289 < x < 311) = 0.9940
Answer:
(E) The z-scores of the height measurements
Step-by-step explanation:
Mean is given by
Where,
n = Number of people
= The heights of people
When converting m to cm the mean would be
So, the mean would change
The median gives us the middle data value when the data values are in ascending order.
So, the median would change
Standard deviation
When converting to centimeters
Hence, the standard deviation would change
When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.
The z score is given by
where,
x = Data point
= Mean
= Standard deviation
When converting to centimeters
Hence, the z score would remain the same