The weather can be considered a stochastic system, because it evolves in a probabilistic manner from one day to the next. Suppose for a certain location that this probabilistic evolution satisfies the following description: The probability of rain tomorrow is 0.6 if it is raining today. The probability of it being clear (no rain) tomorrow is 0.8 if it is clear today. (For simplicity, you can assume clear = 0 and rain = 1) a. If today’s weather is clear, simulate the weather condition for the next 7 days. b. What kind of probability is used in the table above (Poisson distribution, Normal Distribution, Uniform distribution, Exponential distribution)? Explain your answer.
The weather can be considered a stochastic system, because it evolves in a probabilistic manner from one day to the next. Suppose for a certain location that this probabilistic evolution satisfies the following description: The probability of rain tomorrow is 0.6 if it is raining today. The probability of it being clear (no rain) tomorrow is 0.8 if it is clear today. (For simplicity, you can assume clear = 0 and rain = 1) a. If today’s weather is clear, simulate the weather condition for the next 7 days. b. What kind of probability is used in the table above (Poisson distribution, Normal Distribution, Uniform distribution, Exponential distribution)? Explain your answer.
The weather can be considered a stochastic system, because it evolves in a probabilistic manner from one day to the next. Suppose for a certain location that this probabilistic evolution satisfies the following description: The probability of rain tomorrow is 0.6 if it is raining today. The probability of it being clear (no rain) tomorrow is 0.8 if it is clear today. (For simplicity, you can assume clear = 0 and rain = 1) a. If today’s weather is clear, simulate the weather condition for the next 7 days. b. What kind of probability is used in the table above (Poisson distribution, Normal Distribution, Uniform distribution, Exponential distribution)? Explain your answer.
The weather can be considered a stochastic system, because it evolves in a probabilistic manner from one day to the next. Suppose for a certain location that this probabilistic evolution satisfies the following description: The probability of rain tomorrow is 0.6 if it is raining today. The probability of it being clear (no rain) tomorrow is 0.8 if it is clear today. (For simplicity, you can assume clear = 0 and rain = 1) a. If today’s weather is clear, simulate the weather condition for the next 7 days. b. What kind of probability is used in the table above (Poisson distribution, Normal Distribution, Uniform distribution, Exponential distribution)? Explain your answer.
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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