Answered: 1. The amounts of nicotine in a certain…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

1. The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.881 grams and a standard deviation of 0.281 grams. Find the probability of randomly selecting a cigarette with 0.6 grams of nicotine or less. Round your answer to four decimals.

P(X<0.6)=

2.A normal distribution has a mean of 136 and a standard deviation of 4. Find the z-score for a data value of 121.

Round to two decimal places

3. z = -2 is what percentile?

percentile

State your answer to the nearest tenth of a percent.

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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