Find the indicated area under the curve of the standard normal distribution, then convert it to a percentage and fill in the blank.
About _____% of the area is between z=-2.2 and z=2.2 (or within 2.2 standard deviations of the mean).
About ____% of the area is between z=-2.2 and z=2.2 (or within 2.2 standard deviations of the mean).
Normal distribution is a continuous distribution and important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distribution are not known.
The standard normal distribution is a type of normal distribution with mean equal to zero and standard deviation is equal to 1.
The Excel formula calculating the probability value is,
The formula for between probability is as follows:
From the information, observe that the standard normal z score lies between -2 and +2.
The probability that the z score is less than -2 is,
The probability that the z score is less than 2 is,
The calculation of the required probability is,
Ans:About 95.45% of the area between and (Or within 2 standard deviations of the mean)
1Find the indicated area under the curve of the standard normaldistribution, then convert it...
Find the indicated area under the curve of the standard normal distribution, then convert it to a percentage and fill in the blank. About _______ % of the area is between z= - 3 and z = 3 (or within 3 standard deviations of the mean).
Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About ______% of the area is between z equals minus 1 and z equals 1 (or within 1 standard deviation of the mean).
Find the indicated area under the curve of the standard normal distribution, then convert it to a percentage and fill in the blank. About _____% of the area is between zequals=negative 1.4−1.4 and zequals=1.41.4 (or within 1.41.4 standard deviationsdeviations of the mean).Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... About nothing% of the area is between zequals=negative 1.4−1.4 and zequals=1.41.4 (or within 1.41.4 standard deviationsdeviations of the mean). (Round to...
Using the proper functions on a TI 84 Plus: Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About ____ % of the area is between z = -3 and z = 3
1. a) About ____ % of the area under the curve of the standard normal distribution is between z=−0.409z=-0.409 and z=0.409z=0.409 (or within 0.409 standard deviations of the mean). b) About ____ % of the area under the curve of the standard normal distribution is outside the interval z=[−0.78,0.78]z=[-0.78,0.78] (or beyond 0.78 standard deviations of the mean). c) About ____ % of the area under the curve of the standard normal distribution is outside the interval z=−0.86z=-0.86 and z=0.86z=0.86 (or...
About b6 of the area under the curve of the standard normal distribution is between 0.174 and z = 0.174 (or within 0.174 standard deviations of the mean). z = > Next Question arch
a) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the right of z = 1.51 is ____ b) The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 9.5 minutes and a standard deviation of 2.1 minutes. What is...
1. Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the left of z = 0 is _______ 2. Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the left of z = −0.49 is _______ 3. Sketch the area under the standard normal...
Find the indicated area under the standard normal curve. Between z= -0.51 and z = 0.51.The area between z = -0.51 and z = 0.51 under the standard normal curve is _______
1) Find the area under the standard normal curve to the right of z= -0.62. Round your answer to four decimal places. 2) Find the following probability for the standard normal distribution. Round your answer to four decimal places. P( z < - 1.85) = 3) Obtain the following probability for the standard normal distribution. P(z<-5.43)= 4) Use a table, calculator, or computer to find the specified area under a standard normal curve. Round your answers to 4 decimal places....