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At a successful garage, there is always a backlog of cars waiting to be serviced. The service times of cars are iid exponential random variables with a mean service time of 30 minutes. Find the PMF of N(t), the number of cars serviced in the first t hours of the day.
a psychologist has developed a new method designed to help people taking an exam. the method requires the person to
Was the sample appropriate for this study - what are some possible limitations to this study and discuss how you would conduct a follow up study to this one.
Define a critical region that has a significance level of a = 0.05. If the random sample of n = 30 yielded = 3189 and s = 488, what is your conclusion? What is the approximate p-value of your test?
1.nonparametric tests are used whena.the data are normal.b.the data are skewed.c.the data are counts.2.the
The average hourly wage of employees of a certain company is $12.37. Assume the variable is normally distributed. If the standard deviation is $3.84, find the probability that a randomly selected employee earns less than $8.72.
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. (Accommodating 100% of males would require very wide seats that would be too expensive.)
Consider the following quarterly demand levels for electricity (in 1 000 megawatts) in Cape Town from 2008 to 2011.
a random variable x has mean mu and standard deviation sigma. suppose n independent observations of x are taken and the
If the number of heads turns out to equal one of your 11 numbers, you win a dollar. which 11 numbers should you pick, and what is your chance of winning? explain.
calculate the Pearson product-moment correlation coefficient and test for significance at the .01 level and calculate a t-test and test for significance at the .05 level, 2-tailed level of significance.
two students a and b are both registered for a probability class. neither student has a sterling attendance pattern.
what is the probability that there are exactly 6 girls among the first 10 and exactly 12 girls among the first 19
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