The standard normal distribution is a normal probability distribution that has a mean of ___ and a standard deviation of ___ , and the total area under its density curve is equal to ___ . (Note: report your answer in a numeric value.)

Assume that the readings on scietific thermometers are normally distributed with a mean of 0 0C and a standard deviation of 1 0C . A thermometer is randomly selected and tested. Find the probability of the reading less than -.25 in degrees Celsius. (up to four decimal places)

Assume that the readings on scietific thermometers are normally distributed with a mean of 0 0C and a standard deviation of 1 0C . A thermometer is randomly selected and tested. Find the probability of the reading greater than .25 in degrees Celsius. (up to four decimal places)

Assume that the readings on scietific thermometers are normally distributed with a mean of 0 0C and a standard deviation of 1 0C . A thermometer is randomly selected and tested. Find the probability of the reading greater than -1.05 in degrees Celsius. (up to four decimal places)

Assume that the readings on scietific thermometers are normally distributed with a mean of 0 0C and a standard deviation of 1 0C . A thermometer is randomly selected and tested. Find the probability of the reading less than 1.93 in degrees Celsius. (up to four decimal places)

Assume that the readings on scietific thermometers are normally distributed with a mean of 0 0C and a standard deviation of 1 0C . A thermometer is randomly selected and tested. Find the probability of the reading between -2.67 and 1.28 in degrees Celsius. (up to four decimal places)

Assume that the readings on scietific thermometers are normally distributed with a mean of 0 0C and a standard deviation of 1 0C . A thermometer is randomly selected and tested. Find the probability of the reading between 2.70 and 3.13 in degrees Celsius. (up to four decimal places)

For a standard normal distribution, find the percentage of data that are more than 2 standard deviations away from the mean. (up to two decimal places)

Assume that the readings on the thermometers are normally distributed with a mean of 0 C and a standard deviation of 1 C. A thermometer is randomly selected and tested. If 1.7% of the thermometers are rejected because they have readings that are too low, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others. (up to two decimal places)

Assume that human body temperatures are normally distributed with a mean of 98.20 0F and a standard deviation of 0.62 0F. Physicians want to select a minimum temperature for requiring further medical tests. what should that temperature be, if we want only 5% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.)  (up to two decimal places)

Assume that the heights of women are normally distributed with a mean given by 63.6 inches and a standard deviation given by 2.5 inches. The Beanstalk club, a social organization for tall people, has a requirement that women must be at least 70 inches tall. What proportion (probability) of women meet that requirement? (up to four decimal places)

Assume that the heights of women are normally distributed with a mean given by 63.6 inches and a standard deviation given by 2.5 inches. The U.S. Army requires women's heights to be between 58 inches and 80 inches. What proportion (probability) of women meet that requirement? (up to four decimal places)

The intelligence quotient (IQ) is based on a test of aptitude and is often used as a measure of an individual’s intelligence. The distribution of IQ scores is approximately normally distributed with mean 100 and standard deviation 15. What is the z-value of 80? (up to four decimal places)

The distribution of IQ scores is approximately normally distributed with mean 100 and standard deviation 15. What is the probability to have an IQ score 140 or above?

The distribution of IQ scores is approximately normally distributed with mean 100 and standard deviation 15. What is the probability to have an IQ score between 110 and 120?

Assume that men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb. If one man is randomly selected, find the probability that his weight is less than 167 lb.(up to four decimal places)

Assume that men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb. If 36 man is randomly selected, find the probability that they have a mean weight less than 167 lb.(up to four decimal places)

Assume that men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb. If 4 man is randomly selected, find the probability that they have a mean weight between 160 lb and 180 lb.(up to four decimal places)

The infant mortality rate is defined as the number of infant deaths per 1,000 live births. This rate is often used as an indicator of the level of health in a country. The relative frequency histogram below shows the distribution of estimated infant death rates for 224 countries for which such data were available in 2014. Since the data is skewed positively (or right skewed), the mean will be smaller than the median. (reference: CIA Factbook, Country Comparisons, 2014)