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1. Consider a Poisson process with intensity λ. We start observing at time t = 0. Let T be the time that has elapsed at the first occurrence. Continue to observe the process T further units of time. Let N (T ) be the number of occurrences during the latter period (i.e., during (T, 2T ]). Determine the distribution of N (T).
2. A particle source A emits one particle at a time, according to a Poisson process with an intensity of two particles a minute. Another particle source B emits two particles at a time, according to a Poisson process with an intensity of one pair of particles a minute. The sources are independent of each other. We begin to observe the sources at time zero. Compute the probability that source A has emitted two particles before source B has done so.
in order to evaluate the reasonableness of a firms stated total value of its parts inventory an auditor randomly
They found that those with higher levels of cigarette use had lower GPAs, and vice versa. What can you rightfully conclude from this? Why? Be specific about what this kind of information may indicate and mean.
Sketch and upload the density function for the random variable Y. Be sure to label your axes and provide values on the axes.
Provided an example of a research problem at any organization that would benefit from the employ of either descriptive statistics or probability distribution statistics.
An experimental study is designed to test the potency of a drug on 16 calves. Previous studies have shown that a 10-mg dose of the drug is lethal 7% of the time within the first 7 hours.
Perform exploratory data analysis on CreativityPre and CreativityPost. Using SPSS, calculate the mean and standard deviation of these two variables.
What are the null and alternative hypotheses and identify the P-value Identify the critical value(s). State the final conclusion that addresses the original claim. Do the results suggest that there are more than 70,000 defined words in the diction..
a researcher calculates a statistical test and obtains a p value of .86. he decides to reject the null hypothesis. is
heart failure is due to either natural occurrences 87 or outside factors 13. outside factors are related to induced
Organize the above data as a less-than cumulative frequency distribution and draw to scale the less-than ogive for the above data.
The January 17, 1994 issue of Time magazine reported that 58% of adult Americans said yes to the question "If you or your spouse were pregnant, would you want the unborn child tested for genetic defects?"
Determine the most likely outcome? Are events "alcohol involved" and "2 or more vehicles involved" mutually exclusive? Describe your reasoning.
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