What is the standard deviation of the random variable x?

Using your google survey results,
Turn in a PDF copy or picture of your google survey results (50 points).
For all problems show your work (data and calculator function or excel formula or google formula used) to solve each problem to get full credit. Fail to show your work will reduce your score by 50%. See example (do not use this spread sheet. Use your own google poll results):
Google survey results distribution example
1. Calculate the probability that there are fewer than ___________( use your google survey results to formulate a question). Use the binomial distribution. Then compute the probability of the binomial distribution. (50 points)
2. Calculate the probability that more than___________ ( use your google survey results to formulate a question). Use the binomial distribution. Then compute the probability of the binomial distribution.
(50 points)
3. Calculate the probability that exactly ___________( use your google survey results to formulate a question). Use the binomial distribution. Then compute the probability of the binomial distribution.
(50 points)
4. According to my Math 227 google survey results, _________% of all classmates believe that _____________. A random sample n = __________ was taken. Assume that you have an binomial approximation.
X= the number of the Math 227 students who answered the survey.
What is the expected value of the random variable X ?
What is the standard deviation of the random variable X?
(70 points)
5. The random variable x represents _____________(formulate your problem using your google results) in one semester, and it has a Poisson Distribution with a Mean ____________.
What is the variance ______________?
What is the standard deviation ____________?
(70 points).
6. Formulate your problem using your google survey results, the average number of students in Math 227 class believe that ______________ is only 5 people per semester. (Use Poisson distribution).
What is that probability that 5 or more students believe that ______________________?
What is that probability that fewer than 5 students believe that ______________________?
What is that probability that 5 students believe that ______________________?
(80 points)
7. Determine the distribution shape (normal, skew to the left or skew to the right) of your google survey (use your relative frequency histogram). Draw and name your google survey distribution. ( 30 points)
8. Use your google survey results. A normal distribution has a mean of ___________ and standard deviation of ___________. Find the z -score for a data value of 12. (30 points). Provide formula and calculations to get full credit.
9. Use your google survey results. z-score is ______________, what is the percentile? Include a picture of table V or calculator functions of how you got your answer to get full credit. (30 points).
10. Use your google survey results to formulate a problem that have a normally distributed results, with a mean of ___________ in one semester, and standard deviation of ____________ in one semester. If you randomly __________________, what is the probability that __________________________ it will be more than _____________________ in one semester? (70 points).
11. Use your google survey results to formulate a problem that have a normally distributed results, with a mean of ___________ in one semester, and standard deviation of ____________ in one semester. If you randomly __________________, what is the probability that __________________________ it will be fewer than _____________________ in one semester? (70 points).
12. Use your google survey results to formulate a problem that have a normally distributed results, with a mean of ___________ in one semester, and standard deviation of ____________ in one semester. If you randomly __________________, what is the probability that __________________________ it will be exactly _____________________ in one semester? (70 points).
Use your google survey results to formulate a problem that have a normally distributed results, with a mean of ___________ in one semester, and standard deviation of ____________ in one semester. If you randomly __________________, what is the probability that __________________________ it will be at least _____________________ in one semester? (70 points).
14. Explain why and what type of distribution is the best to use for your survey: Binomial, Poisson or Normal. (50 points)

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