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Refer to given Exercise. Now suppose you meet two new friends independently, and ask each of them on what day of the week they were born.a. What is the probability that the first friend was born on a Friday?
b. What is the probability that both friends were born on a Friday?
c. What is the probability that both friends were born on the same day of the week?
Exercise Suppose that people are equally likely to have been born on any day of the week. You meet a new friend, and ask her on what day of the week she was born.
a. List the simple events in the sample space.
b. What is the probability that she was born on a weekend (Saturday or Sunday)?
How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100°C for a balloon to be ..
a biologist wants to test the null hypothesis that the mean mean wingspan of a certain kind of insect is 12.3mm against
We desire that the phase margin be equal to 30°. For a ramp input r(t) = t, we want the steady-state error to be equal to 0.05. Design a lag compensator to satisfy the requirements. Verify the results.
If Subway wanted to have 90% confidence in being within 3 percentage points of the population percentage who are pleased, how many of the new franchisees would have to be included in the sample?
In a random sample of visitors to a famous tourist attraction, 84 of 250 men and 156 of 250 women bought souvenirs. Construct a 95% confidence interval for the difference between the true proportions of men and women who buy souvenirs at this tour..
a researcher conducted a study of the access speed of 45 hard drives and concluded that his maximum error of estimate
The two cars drove a combined total of 1450 miles, and the sum of their fuel efficiencies was 40 miles per gallon. What were the fuel efficiencies of each of the cars that week?
What is the estimated index of satisfaction for a person who first married at 18, has an annual income of $26,500, has three children living, has assets of $156,000.
The researcher polled 150 Canadians on this question to compare the two countries in attitudes toward capital punishment.
For the data given below, regress one variable on the other. Is there an implication of causality, or are both variables affected by a third?
Test against the null hypothesis of a one sided alternative that the difference is more than 10 minutes. Use a .1 level of significance (alpha).
Probability, which measures the likelihood that an event will occur, is an important part of statistics. It is the basis of inferential statistics In inferential statistics, we make decisions under conditions of uncertainty.
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