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Q1) Probability is 1 in 4,000,000 that single auto trip in United States will result in fatality. Over a lifetime, the average U.S. driver takes 50,000 trips.
(a) Determine the probability of fatal accident over a lifetime? Describe your reasoning carefully. Hint: Suppose independent events. Why might the supposition of independence be violated?
(b) Why might driver is tempted not to use a seat belt "just on this trip"?
Q2) Certain airplane has 2 independent alternators to give electrical power. Probability that a given alternator will fail on 1-hour flight is .02. Determine the probability that
(a) Both will fail?
(b) Neither will fail?
(c) One or the other will fail? Illustrate all steps carefully.
Find the probability using the Poisson distribution.
When we carry out a goodness of fit chi-square test, the expected frequencies are based on the alternative hypothesis
The significance level of a statistical test is equal to the probability that the null hypothesis is true.
Suppose that past data are not available for developing a planning value for p; therefore, you will use p = 0.050 for the planning average.
The average number of days absent per student per year at West Valley School is 17 days with a standard deviation of 4 days. How many standard deviations from the mean is 6 absent days?
Banner Mattress and Furniture Company wishes to study the number of credit applications received per day for the last 300 days.
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank.
A state-wide sample survey is to be made. First, the state is subdivided into counties. Seven counties are selected at random and further sampling is concentrated on these seven counties.
Which is the estimated or dear proportion of defective cups in the population?
What is the probability that a randomly chosen eight-week old baby smiles between 2 and 18 seconds?
Also use the regression model to predict a student's average if he/she misses 4 classes.
Estimate the values using multiple regression models. An air conditioning as well as heating repair firm conducted a study to determine if the outside temperature, Illustrate the forecasted monthly electric bill.
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