Example the weight are considered to be normal with mean 70 and variance of 9

# Example the weight are considered to be normal with

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Example: the weight are considered to be normal with mean 70 and variance of 9 . Let X : denotes the weight , find 1. The probability of weight is less than 50? 2. The probability of weight is more than 90? 3. The probability that the weight is equal 100? 4. The percentage that the weight is greater than 40? 5. The probability that the weight is between 50 and 73? Ms. Lubna Ineirat 124
6. find the weight which 90% of the weight below it? 7. find the weight which 30% of weights above it? 8. Find 98 percentile? Ms. Lubna Ineirat 125
Example: The time it take a cell to divide is normally distributed with a mean of 1 hour and S.D of 5 minutes. X:time taken a cell to divide 1. What is the probability that a cell divides in less than 45 minutes? 2. What is the probability that it take a cell more than 65 minutes to ? 3. What is the time that it takes 99% of all cell to complete division? Ms. Lubna Ineirat 126
Example: a Nurse supervisor has found that staff nurses, on the average, complete a certain task in 10 minutes. If the time required to complete the task are approximately normally distributed with a standard deviation of 3 minutes, find 1. The probability of nurse completing the task in less than 3 minutes. 2. The probability of nurse requiring between 2 and 4 minutes to complete the task. 3. What is the time required to complete the task such that 95% of the time requiring to complete the task below it? Ms. Lubna Ineirat 127
The central limit theorem ( ) Ms. Lubna Ineirat 128
The central limit theorem ( CLT) Suppose that sample of size n our selected from a population with mean μ and variance 𝜎 2 , thane the sample mean ҧ𝑥 is approximately normally distributed with mean μ and variance 𝜎 2 𝑛 provided that n 30 or the population is normal.

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