How to solve Number 23 through 49 **Probability and Statistics Quiz****23. What is the only variable in the Poisson probability formula?** - A. n - B. x - C. e - D. P**24. In a Poisson distribution the mean is equal to** - A. nπ - B. Σx/N - C. e^-π - D. μ/σε/x!**25. The shape of any uniform probability distribution is** - A. Negatively skewed - B. Positively skewed - C. Rectangular - D. Bell shaped**26. The mean of any uniform probability distribution is** - A. (b - a)/2 - B. (a + b)/2 - C. Σ^nJ - D. nπ**27. The standard deviation of any uniform probability distribution is** ![Standard Deviation Formula](https://latex.codecogs.com/png.latex?%5Csigma+%3D+%5Csqrt%7B%5Cfrac%7B%28b-a%29%5E2%7D%7B12%7D%7D) - A. (b - a)/2 - B. n(1 - π) - C. ΣP(x₁)(x̄ − x̄)²**28. The upper and lower limits of a uniform probability distribution are** - A. Positive and negative infinity - B. plus and minus three standard deviations. - C. 0 and 1 - D. The maximum and minimum values of the random variable.**29. What is an important similarity between the uniform and normal probability distributions?** - A. The mean, median and mode are all equal. - B. The mean and median are equal. - C. They are negatively skewed. - D. About 68% of all observations are within one standard deviation of the mean.**30. For the normal distribution, the mean plus and minus 1.96 standard deviations will include about what percent of the observations?** - A. 50% - B. 99.7% - C. 95% - D. 68%**31. For ### Understanding Sampling and Population Parameters**Question 37:** What is it called when all the items in a population have a chance of being selected in a sample?- **A. Random sampling**- **B. z-score**- **C. Sampling error**- **D. Nonprobability sampling****Question 38:** What is the difference between a sample mean and the population mean called?- **A. Standard error of the mean**- **B. Sampling error**- **C. Interval estimate**- **D. Point estimate****Question 39:** What sample statistic is used to estimate a population parameter?- **A. Parameter**- **B. Sampling error**- **C. Point estimate**- **D. Interval estimate****Question 40:** Suppose we select every fifth invoice in a file. What type of sampling is this?- **A. Random**- **B. Cluster**- **C. Stratified**- **D. Systematic****Question 41:** All possible samples of size n are selected from a population and the mean of each sample is determined. What is the mean of the sample means?- **A. Exactly the same as the population mean**- **B. Larger than the population mean**- **C. Smaller than the population mean**- **D. Cannot be estimated in advance****Question 42:** Based on the central limit theorem, the size of the sampling error is:- **A. Directly related to the sample size, i.e., the larger the sample size the larger the sampling error.**- **B. Directly related to the population mean, i.e., the larger the population mean the larger the sampling error.**- **C. Inversely related to the sample size, i.e., the larger the sample size the smaller the sampling error.**- **D. Inversely related to the population standard deviation, i.e., the smaller the standard deviation, the larger the sampling error.****Question 43:** For a distribution of sample means constructed by sampling 5 items from a population of 15:- **A. The sample size is 15**- **B. The number of sample means will be 3003**- **C. The mean of the sample means will be 3**- **D. The standard error will be 1****Question 44:** The wildlife department has been feeding

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23. What is the only variable in the Poisson probability formula? An B. x C.e D. P

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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How to solve Number 23 through 49

**Probability and Statistics Quiz**

**23. What is the only variable in the Poisson probability formula?**
- A. n
- B. x
- C. e
- D. P

**24. In a Poisson distribution the mean is equal to**
- A. nπ
- B. Σx/N
- C. e^-π
- D. μ/σε/x!

**25. The shape of any uniform probability distribution is**
- A. Negatively skewed
- B. Positively skewed
- C. Rectangular
- D. Bell shaped

**26. The mean of any uniform probability distribution is**
- A. (b - a)/2
- B. (a + b)/2
- C. Σ^nJ
- D. nπ

**27. The standard deviation of any uniform probability distribution is**
![Standard Deviation Formula](https://latex.codecogs.com/png.latex?%5Csigma+%3D+%5Csqrt%7B%5Cfrac%7B%28b-a%29%5E2%7D%7B12%7D%7D)
- A. (b - a)/2
- B. n(1 - π)
- C. ΣP(x₁)(x̄ − x̄)²

**28. The upper and lower limits of a uniform probability distribution are**
- A. Positive and negative infinity
- B. plus and minus three standard deviations.
- C. 0 and 1
- D. The maximum and minimum values of the random variable.

**29. What is an important similarity between the uniform and normal probability distributions?**
- A. The mean, median and mode are all equal.
- B. The mean and median are equal.
- C. They are negatively skewed.
- D. About 68% of all observations are within one standard deviation of the mean.

**30. For the normal distribution, the mean plus and minus 1.96 standard deviations will include about what percent of the observations?**
- A. 50%
- B. 99.7%
- C. 95%
- D. 68%

**31. For

### Understanding Sampling and Population Parameters

**Question 37:** What is it called when all the items in a population have a chance of being selected in a sample?
- **A. Random sampling**
- **B. z-score**
- **C. Sampling error**
- **D. Nonprobability sampling**

**Question 38:** What is the difference between a sample mean and the population mean called?
- **A. Standard error of the mean**
- **B. Sampling error**
- **C. Interval estimate**
- **D. Point estimate**

**Question 39:** What sample statistic is used to estimate a population parameter?
- **A. Parameter**
- **B. Sampling error**
- **C. Point estimate**
- **D. Interval estimate**

**Question 40:** Suppose we select every fifth invoice in a file. What type of sampling is this?
- **A. Random**
- **B. Cluster**
- **C. Stratified**
- **D. Systematic**

**Question 41:** All possible samples of size n are selected from a population and the mean of each sample is determined. What is the mean of the sample means?
- **A. Exactly the same as the population mean**
- **B. Larger than the population mean**
- **C. Smaller than the population mean**
- **D. Cannot be estimated in advance**

**Question 42:** Based on the central limit theorem, the size of the sampling error is:
- **A. Directly related to the sample size, i.e., the larger the sample size the larger the sampling error.**
- **B. Directly related to the population mean, i.e., the larger the population mean the larger the sampling error.**
- **C. Inversely related to the sample size, i.e., the larger the sample size the smaller the sampling error.**
- **D. Inversely related to the population standard deviation, i.e., the smaller the standard deviation, the larger the sampling error.**

**Question 43:** For a distribution of sample means constructed by sampling 5 items from a population of 15:
- **A. The sample size is 15**
- **B. The number of sample means will be 3003**
- **C. The mean of the sample means will be 3**
- **D. The standard error will be 1**

**Question 44:** The wildlife department has been feeding

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