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Fire Alarms A fire-detection device uses three temperature-sensitive cells acting independently of one another in such a manner that any one or more can activate the alarm. Each cell has a probability p = .8 of activating the alarm when the temperature reaches 100F or higher. Let x equal the number of cells activating the alarm when the temperature reaches 100F.
a) Find the probability distribution of x.b) Find the probability that the alarm will function when the temperature reaches 100F.c) Find the expected value and the variance for the random variable x.
A sociologist is studying the prevalence of crime in one major city. In a sample of 225 randomly selected residents, 60 say that they have been victimized by a criminal.
A survey of 51 randomly selected students finds that on average students study 138 minutes per night with a standard deviation of 32 minutes. What conclusion can be made from this data?
The systolic blood pressure of a group of 18-year-old women is basically distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg.
If, 20 patients improved, 7 declined, and 3 remained the same, assess whether or not patients undergoing this treatment are showing significant change from baseline to 3 months afterward. Report a p-value.
A) Describe the term population. B) Describe the term random sample. C) What is the difference between a population and a random sample?
An advertising agency that serves a major radio station wants to estimate the mean amount of time that the station's audience spends listening to the radio daily. From past studies, the standard deviation is estimated as 45 minutes.
On weekdays there is an average of four customers waiting in line. What is the probability that you visit Safeway today during this period and find: No customers are waiting?
A counseling psychologist is interested in determining whether the perception of a counselor's expertise is affected by the approach the counselor utilizes.
Jointsoft is a great over-the-counter arthritis medication, but who will ever know about it? Unfortunately, many people with arthritis tend to be elderly and rather immobile, so advertisers of arthritis medications face limitations in ways to get ..
The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older.
Assume the least squares equation is Y' = 10 + 20X. What does the value of 10 in the equation indicate?
Federal administration stated that unemployment level in US is 8.6% (population proportion = 0.086). A hypothesis test is to be performed to decide whether unemployment level in NY State differs from national level.
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