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1. Draw a Venn diagram. Draw a Venn diagram that shows the relation between the events A and Bin Exercise 4.106. Indicate each of the following events on your diagram and use the information in Exercise 4.106 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}
2. Sales of cars and light trucks. Motor vehicles sold to individuals are classi?ed as either cars or light trucks (including SUVs) and as either domestic or imported. In a recent year, 69% of vehicles sold were light trucks, 78% were domestic, and 55% were domestic light trucks. Let A be the event that a vehicle is a car and B the event that it is imported.
Write each of the following events in set notation and give its probability.
(a) The vehicle is a light truck.
(b) The vehicle is an imported car.
The average price of a sample of 12 bottles of diet salad dressing taken from different stores is $1.43. The standard deviation is $0.09. The average price of a sample of 16 low-calorie frozen desserts is $1.03.
we select a sample of 56 oakton studens and ask if they have taken a mathe course at oakton. we find that 26 answer
The samples a group of 100 new fathers and finds that their mean is 64.5. What is the shape of the comparison distribution?
Students in the capstone business policy class are assigned to teams of three. In how many different ways could a team contain exactly one student from each concentration?
a clinical trial is run comparing a new drug for high cholesterol to a placebo. a total of 40 participants are
How are the degrees of freedom computed for the goodness-of-fit test? How are the expected values computed for the goodness-of-fit test?
If the correlation coefficient expresses the degree of a linear relationship, why is it appropriate to use the same formula with nonlinear relationships?
1. for a two-factor study with 2 levels of factor a 2 levels of factor b and a separate sample of n 10 participants in
A deck of cards contains 52 cards, 13 in each of four suits (hearts, diamonds, clubs and spades). Suppose you have been dealt five cards without replacement from a randomly shuffled deck of cards. Find the probability that al five cards are hearts..
For the most recent year available, the mean annual cost to attend a private university in the United States was $20,182. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,400.
\Write down the general formula for the discrete uniform probability distribution function. Now write down the probability distribution function for the random drawing of tile numbers. Is this a discrete uniform distribution?
What are the critical assumptions (not the stated constraints) for your answers in parts a and b? In other words, how good, qualitatively, are you answers?
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