Question

Sensors are normally distributed with average accuracy of 86.2 and standard deviation 5.50 for a true measurement of 100. i) Determine the probability of a randomly selected senor of having accuracy greater that 95. ii) The production target is to have 15% of sensors selling at higher prices(higher accuracy). Determine the minimum sensor accuracy needed to be sold at a higher price. iii) Calibration testing is done in random order. Determine the probability that the third sensor calibrates is the first sensor with accuracy less than 80.

          Sensors are normally distributed with average accuracy of 86.2 and standard deviation 5.50 for a true measurement of 100.
i) Determine the probability of a randomly selected senor of having accuracy greater that 95.
ii) The production target is to have 15% of sensors selling at higher prices(higher accuracy). Determine the minimum sensor accuracy needed to be sold at a higher price.
iii) Calibration testing is done in random order. Determine the probability that the third sensor calibrates is the first sensor with accuracy less than 80.

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Sensors are normally distributed with average accuracy of 86.2 and standard deviation 5.50 for a true measurement of 100.
i) Determine the probability of a randomly selected senor of having accuracy greater that 95.
ii) The production target is to have 15% of sensors selling at higher prices(higher accuracy). Determine the minimum sensor accuracy needed to be sold at a higher price.
iii) Calibration testing is done in random order. Determine the probability that the third sensor calibrates is the first sensor with accuracy less than 80.

Added by Tom-S F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Adi S

10/14/2023

Step 1

We can use the z-score formula to standardize the value and then use the standard normal distribution table to find the probability. The z-score formula is: $z = \frac{x - \mu}{\sigma}$, where $x$ is the value we want to standardize, $\mu$ is the mean, and Show more…

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Sensors are normally distributed with an average accuracy of 86.2 and a standard deviation of 5.50 for a true measurement of 100. Determine the probability of a randomly selected sensor having an accuracy greater than 95. The production target is to have 15% of sensors selling at higher prices (higher accuracy). Determine the minimum sensor accuracy needed to be sold at a higher price. Calibration testing is done in random order. Determine the probability that the third sensor calibrated is the first sensor with an accuracy less than 80.

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