Accept you are going across the street in Belfast one evening, and you are hit by a taxi. An

spectator thinks the taxi was blue. There are only two taxi associations in Belfast:

? Blue Taxi Company, who have 15% of the cabs (which are for the most part blue)

? Green Taxi Company, who have 85% of the taxis (which are largely green)

The spectator is 80% reliable at recognizing the correct shade of taxis around evening time (for instance under

tantamount conditions).

Considering this verification, what is the probability that it was a blue taxi that hit you?

Fill in missing characteristics in the going with decrees.

The scattering of the lengths of since a long time back stemmed roses is slope - formed and symmetric with the mean stem length of 16 inches and standard deviation of 3 inches.

Agreeing Empirical rule

_______ percent of the since quite a while past stemmed roses have the lengths between 10 inches and 22 inches.

_______ percent of since a long time back stemmed roses have the lengths greater than 19 inches.

_______ percent of since a long time prior stemmed roses have the lengths between 10 inches and 19 inches.

PRACTICE ANOTHER

Let S = {5, 9, 13} be a model space related with an investigation.

(a) List all events of this preliminary.

{5, 9}, {5, 13}, {9, 13}, {5, 9, 13}{5}, {9}, {13}, {5, 9}, {5, 13}, {9, 13} ?, {5, 9}, {5, 13}, {9, 13}, {5, 9, 13}{5}, {9}, {13}, {5, 9}, {5, 13}, {9, 13}, {5, 9, 13}?, {5}, {9}, {13}, {5, 9}, {5, 13}, {9, 13}?, {5}, {9}, {13}, {5, 9}, {5, 13}, {9, 13}, {5, 9, 13}

(b) what number subsets of S contain the number 13?

subsets

(c) what number subsets of S contain either the number 9 or the number 13?

subsets

''16''

Sergio, Derrick, and Armando lllare making a maze for there pet gerbil, Miguel. Sergio bets that Miguel will go straight when first entering the maze. Derrick bets that Miguel will turn right and Armando bets that Miguel will turn left.

If there is an identical chance of Miguel taking one of the given ways, by then what is the probability that Sergio or Armando will be correct?

The probability that Sergio or Armando will be correct is_______?

8. (15 points) Find the Hermite Interpolation Polynomial H3 (x) using the Newton's Divided-Difference table for the following data and the information of f '(x). The desired interpolation approximation is at x = 1.1 (do not calculate H3 (1.1)). f'(x) = 1/x 1 1. Consider the following data points: (1, 0), (1.5, 0.17609), and (2, 0.30103). a. Using the Lagrange form, construct the interpolation polynomial of degree one through the first two points. b. Then, construct the interpolation polynomial of degree two through all three points. C. Use the answers in part (a) and (b), find the value of the interpolating polynomials at x = 1.35. d. The points were generated using the function y = log x. Calculate the relative error for each polynomial as an approximation of f(1.35).5. A thermodynamics student needs the temperature of saturated steam under a pressure of 6.3 mega-Pascals (MPa). (a) Estimate the temperature using linear interpolation from the data Pressure (MPA) Temperature (C) 6.0 275.64 7.0 285.88 (b) Estimate the temperature using polynomial interpolation from the data Pressure (MPA) 4.0 5.0 6.0 7.0 8.0 9.0 Temperature (C) 250.40 263.99 275.64 285.88 295.06 303.40 (c) Which approximation do you think is more accurate and why