Answered: Using the normal distribution table,…

Using the normal distribution table, answer: What is the probability that a random variable x is: a) less than -1.00 b) less than -2.50 c) greater than 1.25

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 12E

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Using the normal distribution table, answer: What is the probability that a random variable x is:

a) less than -1.00

b) less than -2.50

c) greater than 1.25

d) between 1.00 and 2.00

e) between -1.8 and 2.8

f) greater than 3.22

g) less than -3.25

h) between -2.11 and 1.55

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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