(10) Suppose that in a certain country commercial airplanes crashes occur at a rate of 1.5 per year. Assuming the frequency of crashes per year to be a Poisson random variable, find the probability that three or more crashes will occur next year. Also, find the probability…
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where X1 , X2 , X3 are the three test scores and X is the final score. Assume that your test scores are (integer) values between 1 and 10 with equal probability 1/10, independently from each other. What is the probability mass function of the final score?
Q6. (10) The metro train arrives at the station, always on time, near your home every quarter hour starting at 6:00 AM. You walk into the station every morning between 7:10 and 7:30 AM, with the time in this interval being a uniform random variable.
The mean is the most commonly-used measure of central tendency in a distribution. The mean is valid only for interval data. Since it uses the values of all of the data points in the populations or sample, the mean is influenced by outliers that may be at the extremes of the data set. On the other hand, the median can be determined for ordinal data as well as interval data. Unlike the mean, the median is not influenced by outliers at the extremes of the data set.
Q8. (10) A system consists of 3 components arranged in series. The lifetime (in days) of each component follows approximately an exponential distribution with a mean lifetime of 100 days. The lifetimes of the components are independent.
Where p1(x, ), p2(x, ), p3(x, ) are three independent exponential distributions in parallel. After some algebra and if we take q as any of the three independent exponential distributions, q = p1 or q = p2, q = q3, q =
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(Statistics Assignment Project Example | Topics and Well Written Essays - 500 Words)
“Statistics Assignment Project Example | Topics and Well Written Essays - 500 Words”, n.d. https://studentshare.org/miscellaneous/1564553-statistics-assignment.
While there may be 22 possible digits, each digit can be taken as a binary decision. Particularly, each digit can be tested on whether it matches with the drawn number or not. The resulting problem can then be treated as a binomial probability distribution. The
These two variables are part of socioeconomic factors that affects the psychological health of an individual. Inadequate finances can be an act of poverty which in turn considered a risk factor for declines
During analysis, a group variable is created to accommodate the two groups whose means are being analyzed.
Based on the Levenes Test for Equality of Variances, which puts the level of significance (p-value) at 0.229, we use the equal variance
You can only fund one of the two. Patients and their families are anxiously waiting for the Board of Directors to make a decision on which of the two can be funded.
Part I: Your first task it to do the following
Descriptive statistics were not appropriate because it considered only the features of the group being studied (Agresti, 2007).
3. Other statistic that could have been used in describing the length of labor is categorical statistics distribution (Agresti,
nderstanding distribution of levels of consumption and associated factors is significant to business organizations for policymaking and for decisions on levels of production (Lee, C., Lee, J., & Lee A., 2013). Understanding distribution of levels of income across a market
The primary data was collected at a cell phone shop and sampled 20 selling days. A survey questionnaire filled at the shop, with a simple random sampling, where few of the consumers filled in the forms in a particular day representing a sampling frame (Norean R. Sharpe,