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1. In a completely dark room with ten chairs, six people come and occupy six chairs at random. What is the probability that at least one of three specific chairs gets occupied?
2. A group of six men and 12 women are partitioned into six committees of three people each. What is the probability that each committee contains a male member?
3. * (The General Shoes Problem). There are n pairs of shoes of n distinct colors in a closet and 2m are pulled out at random from the 2n shoes. What is the probability that there is at least one complete pair among the shoes pulled?
4. Find the probability that, after n rolls of a fair die, the sum of the rolls will be no less than 6n- 1.
5. * (Clever Counting). n balls from a total of N balls, labeled as 1; 2; ··· ;N , are taken out from an urn and the label of each written down. Find the probability that the labels form an increasing sequence.
Hint: See the text for a similar example.
0.8 of all college students like the idea of a new curriculum. If we select 87 students (ASSUME INDEPENDENCE), what is the Standard Deviation of the Probability Distribution that would list the number of students.
Is there an effect due to development time? Plot the mean density for each developer strength for each development time.
a random sample of 25 lunch orders at noodles and company showed a mean bill of 10.36 with a asample standard deviation
a researcher believes that the retail price of new identical automobiles differs between an urban location and a
State the statistical assumptions of this test Using the data set you have selected, select independent and dependent variables.
There are 4 samples of 40 individuals each interviewed to find out how often they visit a fast food restaurant in the week.
urn a has 12 white and 16 red balls. urn b has 3 white and 8 red balls. we flip a fair coin. if the oucome is heads
Based on the analysis of variance, is there a difference in the average number of ounces filled by the four machines? Apply Tukey's HSD test to compare the mean differences if the overall ANOVA test is significant at the 5% level.
For the most recent year available the mean annual cost to attend a private university in the US was $26,889. Assume the distribution of annual costs follows a normal probability distribution and the standard deviation is $4,500. 95% of all studen..
Finding the probability that a randomly selected cat will cost more than a randomly selected dog in terms of their annual medical costs.
Compare and contrast quantitative and qualitative research designs. Identify and discuss some advantages and disadvantages for each type of research.
a study of 12000 able-bodied male students at the university of illinois found that their times for the mile run were
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