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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.
for a certain class of jet engines the time until an overhaul is needed y measured in years varies according to the
hamil coaches ltd say that their long-distance coaches take 5 hours for a particular journey. last week a consumer
Before getting into analyzing the data, let's consider the question of the pros and cons of doctors using ethics consultations with doctors, and other ethicists, trained to think and provide advice on ethical issues in healthcare.
Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance.
a group of 5 boys and 15 girls is lined up in random order .a what is the probability that the person in the 4th
Determine the probability in big class that both sections are covered? Only one section? Neither section? Determine the expected number of sections covered?
A grocery store manager discovers that on any given weekend 70% of the customers sales amount to more than $100. What is the probability that the first 2 sales will be over $100?
q1.simulate 100 random normal variables with mean 1.5 and standard deviation 2. create a histogram which shows the data
a researcher is studying the weight changes that women go through over the course of pregnancy childbirth and
suppose that x2 follows a chi-square distribution with 19 degrees of freedom. compute px2 lessthanorequalto 20. round
X is said to be Position distributed with parameter lambda >0 if it has the following pmf: PX(x)= (lambda ^x)*e^(-lambda)/ x! where x = 0, 1, 2... and 0 otherwise.
Find the probability that a randomly selected x-value from the distribution is in the given interval. Between 29 and 37.
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