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1. Simulating Birthdays
a. Develop a simulation for finding the probability that when 50 people are randomly selected, at least two of them have the same birth date. Describe the simulation and estimate the probability.
b. Develop a simulation for finding the probability that when 50 people are randomly selected, at least three of them have the same birth date. Describe the simulation and estimate the probability.
2. Genetics: Simulating Population Control A classic probability problem involves a king who wanted to increase the proportion of women by decreeing that after a mother gives birth to a son, she is prohibited from having any more children. The king reasons that some families will have just one boy, whereas other families will have a few girls and one boy, so the proportion of girls will be increased. Is his reasoning correct? Will the proportion of girls increase?
If the null hypothesis is true, then how much difference should be expected, on average, between the two sample means?
Distributed with a mean of $150 and standard deviation of $25. About how many of the students spend less than $100 on books?
An accounting firm is planning for the next tax preparation season. From last year's returns, the firm collects a systematic random sample of 100 filings.
assume a normal distribution. draw a well-labeled curve for each part. round both to two decimal places.a. find
Suppose that 80% of all batteries have acceptable voltages, and let y denote the number of batteries that must be tested. What is p(2), that is, P(y=2).
If they must form an ethics subcommittee of 4 members, how many different subcommittees are possible?
Following are different algebraic expressions of the production function. Decide whether each one has constant, increasing, or decreasing returns to scale.
More than 5 percentage points in either direction from what would have been obtained by interviewing all voters in the United States. Find the sample size suggested by this statement.
Find out the constant using probability density function also cumulative distribution function. Assume X be a continuous random variable with probability density function.
Suppose a study is constructed to test a claim, at a 0.05 signifigance level that a population proportion is 40%. A simple random sample of 750 subjects has a proportion of 42%.
1 every time you go to a beach for vacation you take home a little sand to keep as a souvenir. over your lifetime you
Solve the initial value problem y' = 2y + 3, y(0) = 2. The population p(t) of the South American Agouti satisfied the population law dp/dt = 0.05p - 450, where the factor 0.05 reflects the birth rate and the -450 is a constant harvest rate due to ..
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