If z is a standard normal variable, find the probability. The probability that z is less than 1.13

If z is a standard normal variable, find the probability. The probability that z lies between 0.7 and 1.98

If z is a standard normal variable, find the probability. The probability that z is greater than -1.82

If z is a standard normal variable, find the probability. P(z < 0.97)

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0∘0∘C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0∘0∘C (denoted by negative numbers) and some give readings above 0∘0∘C (denoted by positive numbers). Assume that the mean reading is 0∘0∘C and the standard deviation of the readings is 1.00∘1.00∘C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find P96, the 96th percentile.

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0∘0∘C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0∘0∘C (denoted by negative numbers) and some give readings above 0∘0∘C (denoted by positive numbers). Assume that the mean reading is 0∘0∘C and the standard deviation of the readings is 1.00∘1.00∘C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find Q3, the third quartile.

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0∘0∘C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0∘0∘C (denoted by negative numbers) and some give readings above 0∘0∘C (denoted by positive numbers). Assume that the mean reading is 0∘0∘C and the standard deviation of the readings is 1.00∘1.00∘C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. If 7% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the temperature that separates the rejected thermometers from the others.

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0∘0∘C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0∘0∘C (denoted by negative numbers) and some give readings above 0∘0∘C (denoted by positive numbers). Assume that the mean reading is 0∘0∘C and the standard deviation of the readings is 1.00∘1.00∘C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. If 9% of the thermometers are rejected because they have readings that are too low, but all other thermometers are acceptable, find the temperature that separates the rejected thermometers from the others.

Assume that X has a normal distribution, and find the indicated probability. The mean is μ = 60.0 and the standard deviation is σ = 4.0. Find the probability that X is less than 53.0.

Assume that X has a normal distribution, and find the indicated probability. The mean is μ = 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 16.1.

Assume that X has a normal distribution, and find the indicated probability. The mean is μ = 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 17.

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45P45, which is the consumption level separating the bottom 45% from the top 55%.

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find P60P60, the score which separates the lower 60% from the top 40%.

Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. Find the value of the quartile Q3.

Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62∘0.62∘F. Find the temperature that separates the top 7% from the bottom 93%.

The weights of certain machine components are normally distributed with a mean of 8.05 g and a standard deviation of 0.09 g. Find the two weights that separate the top 3% and the bottom 3%. Theses weights could serve as limits used to identify which components should be rejected.