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A bag contains four different cards, labeled green, red, blue and yellow. Two cards are selected at random from the bag "replacement," meaning that after the first selection is made, the selected card is returned to the bag before the second selection is made. "At random" means that all cards in the box have an equal chance of being selected.
a. Define the sample space for this experiment.Hint: how many combinations you can select two cards from four cards with four different colors. You need to clearly write down.
b. Is the event of choosing card green or blue on the first selection independent of choosing card green or red on the second selection? Why or why not?Hint: how many times green could come first if two cards (let us say that four times) are selected or the same for blue. Think of that and then divide it by probability for entire set given in a section. You know how to find independence?
If you select a random sample of 100 sessions, what is the probability that the sample mean is between 7.8 and 8.2 minutes?
An auditor for a Health Maintenance service of Georgia reports 40% of policyholder 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records.
A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that
A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table.
Do the thinner cans appear to be strong enough so that they are not crushed when the top lids are pressed onto the sides?
Using the p-value approach, test the hypotheses at the 1% level of significance.
their average cost was 340.00 with standard deviation of 80.00. Dean of students thinks that costs are greater this semester. Determine the test value for this hypothesis.
For the period from 1918 to the present, in a random sample of 13 wolves spotted in the region, what is the probability that 10 or more were male? What is the probability that 10 or more were female?
What is the 'Equally-likely Outcomes Model of Probability?" What is the formula for this model of probability?
Of 146 adults selected randomly from one town, 31 of them smoke. Construct a 99% confidence interval for the true percentage of all adults in the town that smoke.
For each of the following three scenarios, state which hypothesis test you would use from among the four introduced so far: the z test, the single-sample t test, the paired-samples t test, and the independent-samples t test.
Playbill magazine reported that the mean annual household income of it's readers is $219,155. Assume this estimate of the mean annual household is based on a sample of 91 house-holds and based on past studies,
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