Activity 6 Normal Probability Distribution 1. Draw and calculate the area under the standard normal curve to the! a. z= 1.6 b. z= 0.90 c. z= 1.83 2. Draw and find the probabilities for the following: a. between these values: z= -1.43 and 0.68 b. z>1.34 between 0 5 O ond 1 74
Activity 6 Normal Probability Distribution 1. Draw and calculate the area under the standard normal curve to the! a. z= 1.6 b. z= 0.90 c. z= 1.83 2. Draw and find the probabilities for the following: a. between these values: z= -1.43 and 0.68 b. z>1.34 between 0 5 O ond 1 74
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Statistics
Transcribed Image Text:7:02 ..l .l ?
38
Activity 6- normal prob.
Activity 6
Normal Probability Distribution
1. Draw and calculate the area under the standard normal curve to the left of these values:
a. z= 1.6
b. z= 0.90
C. Z= 1.83
2. Draw and find the probabilities for the following:
a. between these values: z= -1.43 and 0.68
b. z>1.34
c. between 0.58 and 1.74
3. A variable x has a mean u = 10 and standard deviation o =2. Find the probabilities of
these x-values:
a. x<8.2
c. 9.4<x<10.6
4. Human heights are one of many variables that can be modelled by the normal
distribution. Assume the heights of men have a mean of 69 inches with a standard
deviation of 3.5 inches.
a. What proportion of all men will be taller than 6 feet? (Hint: Convert the measurement
to inches)
b. What is the probability that selected man will be between 5'8" and 6'1' tall?
5. The discharge of suspended solids from a phosphate mine is normally distributed, with
a mean daily discharge of 27 milligrams per liter (mg/l) and a standard deviation of
14 mg/L. What proportion of days will the daily discharge exceed 50 mg/L?
Transcribed Image Text:4. Human heights are one of many variables that can be modelled by the normal
distribution. Assume the heights of men have a mean of 69 inches with a standard
deviation of 3.5 inches.
a. What proportion of all men will be taller than 6 feet? (Hint: Convert the measurement
to inches)
b. What is the probability that selected man will be between 5'8" and 6'1' tall?
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