Calculating probability under a standard normal curve

Related BrainMass Solutions

• Statistics problem

  Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years.

• Blood Protoplasm - Normal Distribution

  M = 38, s = 12; z = (x - M)/s (a) z = (60 - 38)/12 = 1.833 P(x < 60) = Area under the Standard Normal Curve to the left of z = 1.833, which is 0.967 (b) z = (16 - 38)/12 = -1.833 P(x > 16) = Area under the Standard Normal Curve to the right

• Probability Under the Curve of the Standard Normal Distribution

  574912 Probability Under the Curve of the Standard Normal Distribution Upload speed are measured on a standard scale I which the target value is 1.0.

• Z scores in three paragraph discussion

  z, Finding Probabilities under a Normal Curve The steps in the procedure are: • Draw a sketch of the situation, • standardize the value of interest, x, to give z, • use the standard tables to find the area under the curve associated with z, • if

• Calculating the desired probability values

  447662 Calculating desired probability values Z is the standard normal random variable that is, the normal random variable with mean 0 and standard deviation 1. Use the table values in your textbook to determine the following a.

• Determining Employee Expenditure Using Probability

  With this information you could calculate P[X > $5] by calculating p[Z > -1] from a standard normal table or p[X < $5] by calculating p[X < 01] from a standard normal table. The expert determines employee expenditures using probability.

• Probability Based on the Sampling Distribution

  By the Empirical Rule, under the standard normal curve, around 68% of the sample observations will fall within 1 standard deviation from the mean.

• binomial probability

  Find the area under the standard normal curve for the following: A. P(z < -1.75) B. P ( 0 < z < 0.14) C. P( -0.51 < z < 0.81) 5. Find the value of z such that approximately 13.31% of the distribution lies between it and the mean. 6.

• Z-score and Area under the Normal curve

  266260 Z-Score and Area Under the Normal Curve Discuss the difference between a z-score and the area under the normal curve. What exactly does a z-score represent? What does the area under the graph of a normal probability distribution represent?