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Then compute the probability of B in each situation (these are the P(B|An)). Finally weigh each of these probabilities with the probabilities that you are in the An situation (these are the P(An)"s). Example: Cards are drawn one by one from a standard 52-card deck without replacement. What is the probability that the third spade is drawn on the 8th draw? Example: (Problem 4.27, page 144) Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those who fail on the first try, 54% pass on the second try; and, of those remaining, 48% pass on the third try. What percentage of students pass?
At the 5% level of significance, can we infer that the population mean weight of athletic men is lower than the population mean weight of non-athletic men by more than 2 pounds?
Healthcare issues are receiving much attention in both academic and political arenas. Compute the arithmetic mean age of the uninsured senior citizens to the nearest hundredth of a year.
I have 400 feet of lumber to frame a rectangular patio. I want to maximize the area of the patio. What should the dimensions of th patio be.
A prison official wants to estimate the proportion of cases of recidivism. In examining 250 convicts there are 65 cases. with 99% confidence interval what is the range? How do you figure this type of problem?
One day, you notice your 6' 2" roommate's size 12 shoes and comment, "I think height and foot size are correlated". You're somewhat surprised (and irked) by his response, "I think short people have big mouths."
You observe the gender of the next 950 babies born at a local hospital. The random variable represents tha number of girls. historically , 49.8% of the babies born are girls?
For the control group, the mean was 70.3 and the standard deviation was 8.3. (a) Do beta-blockers reduce the pulse rate? State the hypotheses and do a t test.
A discussion of extreme weather reports that: "In most states, hurricanes occur infrequently. Yet, when a hurricane hits, the losses can be catastrophic.
Determine the z values for 29 and 34 hours. What percent of the garages take between 32 hours and 34 hours to erect?
Test out an suitable hypothesis also state your conclusion. Make sure the suitable assumption as well as conditions are satisfied before you proceed.
The estimated salary range is $4,500, the margin of error should be $100 and the desired level of confidence is 95%.
Assume the probability that a person has the desease is 0.03 for all people, independently of each other. Compute the total expected number of tests necessary.
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