Data Science pnorm, qnorm (Lab 2I)

What does the `pnorm` function calculate in statistics?

• The percentile of a given value in a normal distribution.

• The probability of observing a value less than or equal to a given value in a normal distribution.

• The mean of a normal distribution.

• The standard deviation of a normal distribution.

• 0.8413

• 0.9082

• 0.9332

• 0.9772

What does the `qnorm` function calculate in statistics?

• The value at a given percentile in a normal distribution.

• The probability of observing a value less than or equal to a given value in a normal distribution.

• The mean of a normal distribution.

• The standard deviation of a normal distribution.

• 60.815

• 66.45

• 70.1

• 73.5

What does calculating `1 - pnorm` for a given value in a normal distribution represent?

• The probability of observing a value greater than the given value.

• The mean of the normal distribution.

• The standard deviation of the normal distribution.

• The percentile of the given value in the normal distribution.

• 0.0228

• 0.1587

• 0.9772

• 0.8413

In the context of quality control, how can `pnorm` be used in a real-world application?

• To calculate the mean time until a machine fails.

• To determine the probability of a product's dimension being within the specified tolerance levels.

• To find the maximum capacity of a production line.

• To calculate the total revenue from sales.

• 0.8413

• 0.9772

• 0.9332

• 0.9082

• 84.13

• 86.51

• 92.07

• 95.45

A fuel pump at a gasoline station doesn't always dispense the exact amount displayed on the meter. When the meter reads 1.00 L , the amount of fuel a certain pump dispenses is normally distributed with a mean of   1 L standard deviation of 0.05 L . Find the probability that amount dispensed in a random trial is less than or equal to 1.05 L.

• 0.16 %

• 16%

• 0.84%

• 84%