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An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.4, 0.2, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.5 and 0.5. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.
(a) P (B)
(b) P (F | B)
(c) P (B∩F)
(d) P (F)
(e) Does P (B∩F) = P (B) · P (F)?
(f) Are B and F independent events?
A fair coin was flipped three times and landed heads three times. What is the probability of a head on the next toss?
Write up your results by using scientifically recognized form.
Plan the scatter diagram
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On randomly selected day, let X and Y, respectively, be proportions of time that the drive-in and walk-in facilities are in use. Determine the marginal density of X.
Write the regression equation approximately. Computed the coefficient of determination(r 2 ).
To find out whether the course is effective in increasing sales, the appropriate set of hypothesis for testing is:
What is the approximate permutation test P-value and What is the permutation test P-value for testing the equality of the means versus the hypothesis that the mean change for the treatment group is larger than the mean treatment for the control gro..
If only one bolt is chosen, determine the probability that it will be found defective for only 1 reason (that is. it is either too large or has poor workmanship, but not both.)
Suppose among 312 large city residents sampled, 65 refused to cooperate. What is the margin of error at the 95% confidence level.
Compare the two forecasts computed in (a) and (b), using MAD. Which one should the dealer use for January of the next year?
Construct a 98% prediction interval for the selling price of a 4l- year old house having 4500 square feet, 13 rooms, and an attached garage.
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