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Draw a Venn diagram. Draw a Venn diagram that shows the relation between the events A and B in given Exercise. Indicate each of the following events on your diagram and use the information in given Exercise to calculate the probability of each event. Finally, describe in words what each event is.
(a) {A and B}
(b) {Ac and B}
(c) {A and Bc}
(d) {Ac and Bc}
Exercise Education and income. Call a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Select an American household at random, and let A be the event that the selected household is prosperous and B the event that it is educated.
Suppose P(A) = 0.138, P(B) = 0.261, and the probability that a household is both prosperous and educated is P(A and B) = 0.082. What is the probability P(A or B) that the household selected is either prosperous or educated?
b. Find the least squares line, and plot it on your scattergram.
Describe the relationship between the number of days from the optimal planting date and the wheat yield. Calculate the correlation coefficient between days from optimal planting and yield.
Suppose in the general population, 51% are males and 49% are females. It is known 9.5% of males smoke cigars and only 1.7% of females smoke cigars. One adult is selected at random for a survey, and this adult smokes cigars. Given this, find the pr..
She contends that the theory is incorrect because over the past two years she has raised the price of her catered meals and yet has seen a brisk increase in sales. How would you respond to Haslina?
A certain company relies heavily on phone orders. Suppose past records show that R% of all incoming phone calls to this company are orders from customers.
A truck driver is waiting to join the traffic on the service road of a highway. The truck driver blocks the service road for four seconds when he joins the traffic.
Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.
when an instant replay system for tennis was introduced for a tournament men challenged 460 reference calls and 184 of
An insurance company insures a large number of homes. The insured value, X, of a randomly selected home is assumed to follow a distribution with density function f(x)=4x-5 , for x>1. Given that a randomly selected home is insured for at least 2, what..
What is the probability that at least one inspector will find a defective widget?
Do these results suggest that mammograms may be an effective screening tool to reduce breast cancer deaths?- If your conclusion is incorrect, what type of error have you committed?
A researcher studies the average distance that 130 people who are living in U.S. urban areas walk each week: What is the size of the sample? Identify the population.
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