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?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.

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