Applications with Standard Normal Distribution Answers

What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. zProbability0.000.50001.000.84132.000.97723.000.9987

The probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p%. What can be said with certainty about the probability that the random variable is less than or equal to –z standard deviations from the mean?

For a standard normal distribution, find the approximate value of . Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.220.58710.320.62550.420.66280.440.67000.640.73890.840.79951.000.8413

A normal distribution of data has a mean of 15 and a standard deviation of 4. How many standard deviations from the mean is 25?

Which of the following statements is equivalent to ?

What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. z Probability0.000.50001.000.84132.000.97723.000.9987

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?

For a standard normal distribution, if , what is the value of ?

What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. z Probability0.000.50001.000.84132.000.97723.000.9987

Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.250.59870.500.69150.750.77341.000.84131.250.89441.500.93321.750.9599