In Exercises 5 and 6. determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities. 6. A survey of U.S. adults found that 86% of those who use the Internet keep track of their online passwords in their heads. You randomly select 30 U.S. adults who use the Internet. Find the probability that the number who keep track of their online passwords in their heads is (a) exactly 25, (b) more than 25. and (c) less than 25. Identify any unusual events. Explain. (Source: Pew Research Center)
Solution Summary: The author explains that the normal distribution cannot be used to approximate the binomial distribution.
In Exercises 5 and 6. determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities.
6. A survey of U.S. adults found that 86% of those who use the Internet keep track of their online passwords in their heads. You randomly select 30 U.S. adults who use the Internet. Find the probability that the number who keep track of their online passwords in their heads is (a) exactly 25, (b) more than 25. and (c) less than 25. Identify any unusual events. Explain. (Source: Pew Research Center)
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.
7.1. If X has an exponential distribution with the
parameter 0, use the distribution function technique
to find the probability density of the random variable
Y = ln X.
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3. Please
What does the margin of error include? When a margin of error is reported for a survey, it includes
a. random sampling error and other practical difficulties like undercoverage and non-response
b. random sampling error, but not other practical difficulties like undercoverage and nonresponse
c. practical difficulties like undercoverage and nonresponse, but not random smapling error
d. none of the above is corret
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License