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Suppose that p = P(female birth) = 0.5. A couple wishes to have exactly one female child in their family. They will have children until they have a girl, then they will stop having children.
Question 1. What is the probability that the family has three children?
Question 2. What is the probability that the family has at most three children?
Question 3. How many male children would you expect this family to have?
Question 4. How many children would you expect this family to have?
What are the assumptions and requirements for an LP model to be formulated and used? Under what conditions will an LP problem: be unbounded? be infeasible? have more than one optimal solution?
Suppose a t- test is being applied to find out if the population monthly expenditure mean is less than $212. The level of significance selected is 1% and 26 accounts are sampled. What is the critical value?
Tourism is one consideration for CoffeeTime's future. A survey of 1,233 visitors to Mumbai last year revealed that 110 visited a small cafe during their visit. Laura claims that 10% of tourists will include a visit to a cafe.
A shock can cause the failure of component 1 alone with probability p, component 2 alone with probability q, both components with probability r, or have no effects with probability 1-p-q-r. Suppose no repairs are possible and the system fails when..
Sun Microsystems has approximately 50% of the high-end Unix machines market with its closest competitor being IBM. Suppose that 15 firms were in the market to purchase a high-end Unix machine. Assume that these firms listened to sales pitches by a..
What is the mean and standard deviation of the sampling distribution when we take all samples of size25?
The density curve shown to the right takes the value 0.5 on the interval 0 ≤ x ≤ 2 and takes the value 0 everywhere else. What percent of the observations lie between 0.5 and 1.2?
What is the value of the population mean? What is the best estimate of this value?
Mr. Connors philosophy class has 99 students, classified by academic year and gender, as illustrated in the table below. Mr. Connor randomly chooses one student to collect yesterday's work. What is the probability that he selects a male, given tha..
A commuter travels many miles to work each morning. She has timed this trip 5 times throughout the last month. The time (in minutes) required to make this trip was 44, 39, 41, 35, and 41.
Compute the proper measure of association of smoking and lung cancer.
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card.
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