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1. Let X equal the number of alpha particles counted by a Geiger counter during 30 seconds. Assume that the distribution of X is Poisson with a mean of 4829. Determine (approximately) P(4776 <= X <= 4857).
2. A die is rolled 24 independent times. Let Y be the sum of the 24 resulting values. Recalling that Y is a random variable of the discrete type approximate: (a) P(Y >= 86) (b) P(Y < 86) (c) P(70 < Y <= 86).
3. The number X of flaws on a certain tape of length one yard follows a Poisson distribution with mean 0.3. We examine n = 100 such tapes and count the total number Y of flaws. Approximate P(Y <= 25).
Please explain each step. Also we have a test coming up and my teacher goes over the material too quickly for us to really understand it and our textbook is the "brief" version so it's useless as well so if you know any sites that explain probability and stats concepts and provide a lot of examples with thorough explantions please list them in your answer as well (don't say Khan Academy I've already tried there and they don't have hardly anything on probability and stats). The test will be covering continous distributions.
on saturdays cars arrive at sami schmitts scrub and shine car wash at the rate of 6 cars per fifteen-minute interval.
a two-tailed test was conducted to determine if the mean age of gymnasts was equal to 16. the test value was 2.04 and
Probability of .2, $15 with a probability of .35. How much should the lab budget for next year's rat orders assuming the distribution stays the same.
Suggest reasonable values for n and p (binomial) or mu (poisson) for your example. Calculate the mean and standard deviation of the distribution for your example.
Discuss how accurate you believe these results are using information related the regression models.
Assume that a study of 500 randomly selected school bus routes showed that 480 arrived on time. Is it "significant" for a school bus to arrive late?
Employ the table of standard normal probabilities (z table) to answer the following questions.
Choose at random one of the random sample averages of 5 rectangles. Calculate the average value for a random sample of 20 rectangles.
If a filled container of juice is selected at random, what is the probability that it is a nonconforming container? If a filled container of juice is selected at random, what is the probability that it was filled on machine II?
1. ross whites machine shop uses 2500 brackets during the course of the year and this usage is relatively constant
A random sample of 85 group leaders, supervisors, and similar personnel at General Motors revealed that, on the average, they spent 6.5 years on the job before being promoted.
fx 3x2 - 2x3 for 0 lt x lt 1 with fx 0 if xlt0 and fx 1 if xgt 1 defines a distribution function. find the
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