There are 100,000 particles m-3, and the particle diameters follow a normal distribution. The mean diameter is 0.1 µm, and the standard deviation is 0.02 µm. a. How many particles m-3 have diameters larger than 0.15 µm? b. How many particles m-3 have diameters between 0.14 µm and 0.15 µm?

The IQ's in a certain population are normally distributed with a mean score of 104 and a standard deviation of 14. If we select a person at random from this population, find the probability that their IQ will be: 1. Find the 67th percentile of IQ's in this population. 2. Find the 20 The percentile of IQ's in this population 3. Find the IQR of IQ's in this population.

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is between -2.05 and 3.87 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. OB. OC. OD. -2.05 3.87 2.05 3.87 -2.05 3.87 -2.05 3.87 The probability is (Round to four decimal places as needed.)

Sketch a standard normal curve and shade the area that lies to the left of a. 2.15, b. - 1.61, c. 0, and d. - 7. Then determine the area under the standard normal curve that lies in the area of interest for each part. Click here to view page 1 of the normal distribution table. Click here to view page 2 of the normal distribution table. c. Sketch a standard normal curve and shade the area under the curve that lies to the left of 0. Choose the correct graph below. A. 0 Z G OB. 0 The area to the left of 0 is (Round to four decimal places as needed.) O C. -1 0 O D. -1 0 Time Remaining: 01:09:16 Next

Assume the data set described is normally distributed with the given mean and standard deviation, and with n total values. Find the approximate number of data values that will fall in the given range. Mean-8 Standard deviation-1.5 n-45 Range: 6.5 to 9.5 In this case, we expect about 52 data values to fall between 6.5 and 9.5.

Find the area, square unit, to the nearest thousandth of the standard deviation between the given z-scores. Z equals 1.12 and z equals 1.73.

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately nothing​% of vehicles travel between 65 miles per hour and 71 miles per hour.

2 If n=100, X = -20 , EX =220. Find standard deviation Select one: a. 2.1818 b. 2.2626 C. 1.477 d. 1.504