Answered: It is known that people in the USA…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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1. It is known that people in the USA spend on average 17 hours a day using electronic devices with a standard deviation of 7 hours. This data follows a normal distribution. What is the probability someone spends less than 13 hours using electronic devices a day? (round your answer to 4 decimals)

2. It is known that people in the USA spend on average 17 hours a day using electronic devices with a standard deviation of 7 hours. This data follows a normal distribution. What is the probability someone spends more than 13 hours using electronic devices a day if it is known that they spend less than 20 hours using electronic devices a day? (round your answer to 4 decimals) (Hint: Normal distribution and conditional probability)

0.6659

0.2839

0.5737

0.8478

3. 4 students apply to a PhD program. The program accepts 70% of all applicants. Students are accepted and rejected independently of each other. Let the random variable X represent the number of the 4 students who get accepted into the PhD Program.

What is the probability that 2 students are accepted to the program if it is known that more than 1 will be accepted? (round your answer to 4 decimal places) (Hint: Binomial distribution with P=70% and n=4, and conditional probability)

0.4258

0.2888

0.6445

0.3756

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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