Answered: Suppose I have an unfair coin, it lands…

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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Question

Suppose I have an unfair coin, it lands on heads 75% of the time. If I flip this coin four times, what is the probability that I will get only 1 heads? What is the mean for number of heads? Variance? Standard Deviation?

2. During my office hours (from 12pm to 6pm), an average of about 1 student per hour comes in for help. Assuming that the probability of a student coming in is uniform throughout my office hours, what are the odds that on a particular day I would have 6 students come in for help? What is the mean number of students that will come see me on a particular day? Variance? Standard deviation?

3. The average bmi (body mass index) of 500 college students is normally distributed with a mean of 25, with a standard deviation of 5. (A) How many students have a bmi between 22 and 29? (B) How many students have a bmi of more than 29? (C) How many students have a bmi of less than 22? (D) What level of bmi would put you in the bottom 10% of the weight distribution? Top 10%?

4. Suppose you have a sample of 5 people where X represents cookie consumption in the past week. the following X: (6, 5, 4, 1, 1). What is the mean of X? What is the Standard deviation of X? What is the Standard Error of X? Calculate the 95% confidence interval for X. Calculate the 99% confidence interval for X. Interpret your findings.

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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