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Consider the following modification of a branching process: A mature individual produces children according to the generating function g(t). However, an individual becomes mature with probability α and dies before maturity with probability 1 - α. Throughout X(0) = 1, that is, we start with one immature individual.
(a) Find the generating function of the number of individuals in the first two generations.
(b) Suppose that the offspring distribution is geometric with parameter p. Determine the extinction probability.
A medical team wants to determine which form of mastectomy is most effective for prolonging life for women with breast cancer: radical mastectomy (removal of breast, chest muscles, and lymph nodes), simple mastectomy (removal of the breast only).
A student has determined it takes an average of 16 minutes to drive from home, park the car, and get to class with a deviation of 4 so if it took the student 25 minutes what will the standard deviation be?
according to the empirical rule if the data form a bell shaped normal distribution what percent of the observations
Make a decision regarding the null hypothesis based on the sample information. Interpret the results of the test and state your conclusion.
An airline knows that the mean weight of all pieces of passengers' luggage is 49.3 lb with a standard deviation of 8.4 lb. What is the probability that the weight of 66 bags in a cargo hold is more than the plane's total weight capacity of 3,500 l..
One coin in a collection of 65 has two heads. The rest are fair. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row, what is the probability that it is the two-headed coin?
suppose that 50 identical batteries are being tested. after 8 hours of continuous use assume that a given battery is
Use these data to develop an estimated regression equation that could be used to predict the price of a hydration system given its weight.
The soybean plants are randomly assigned to the different treatments - determine the optimal level of a new fertilizer on his soybean
suppose that two random variables x and y have a joint density function given by fxy and by checking we find that fxy
to increase the value of estimated cohens d a researcher increases the sample size. will this change the value of d?a
1. In real-world situations, what is the advantage of using the Method of Substitution to solve a system of equations rather than using the Method of Addition?
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