The probability that the Air Conditioning of a brand new car is defective is 10%. Let X be the number of cars with defective AC in a sample of size 100.(a). Find P(X < 6) exactly.(b). ) Find P(X < 6) approximately, using a Poisson approximation(c). Find P(X < 6) approximately, using a normal approximation.Note: For parts (a) and (b), you only need to provide a formal expression each. For part (c), you need to compute the numerical values using the Q-function table (Table 4.2) from the textbook. TABLE 4.2ComparisonQ(x)'ApproximationApproximation5.00E-01Q(x)5.00E-013.46E-033.47E-032.80.14.60E-012.74.58E-012.55E-032.56E-032.90.24.21E-014.17E-011.86E-031,87E-033.00.33.82E-013.78E-011.35E-031.35E-033.10.43.45E-013.41E-019.66E-040.59.68E-043.09E-010.63.05E-016.86E-04*3.26.87E-043.32.74E-012.71E-014.83E-044.83E-043.43.37E-043.52.33E-043.61.59E-043.71.08E-043.87.24E-053.9 4.81E-050.72.42E-012.39E-013.36E-040.82.12E-012.09E-012.32E-040.91.84E-011.82E-011.59E-041.01.59E-011.57E-011.08E-041.11.36E-011.34E-017.23E-051.21.15E-011.14E-014.81E-051.39.68E-029.60E-024.03.16E-053.17E-054.5 3.40E-061.48.08E-028.01E-023.40E-061.56.68E-026.63E-025.02.87E-072.87E-071.65.48E-025.44E-025.51.90E-081.90E-081.74.46E-024.43E-026.09.86E-109.87E-106.51.83.59E-023.57E-024.02E-114.02E-117.01.92.87E-022.86E-021.28E-121.28E-122.02.28E-022.26E-027.53.19E-143.19E-14.6.22E-168.52.11.79E-021.78E-028.06.22E-162.21.39E-021.39E-029.48E-189.48E-182.31.07E-021.07E-029.01.13E-191.13E-192.48.20E-038.17E-039.51.05E-211.05E-212.56.21E-036.19E-0310.07.62E-247.62E-242.64.66E-034.65E-03

Given information Probability that the brand new car is defective(p) = 0.1 Sample size n 100

The probability that the Air Conditioning of a brand new car is defective is 10%. Let X be the number of cars with defective AC in a sample of size 100. (a). Find P(X < 6) exactly. (b). ) Find P(X < 6) approximately, using a Poisson approximation (c). Find P(X < 6) approximately, using a normal approximation. Note: For parts (a) and (b), you only need to provide a formal expression each. For part (c), you need to compute the numerical values using the Q-function table (Table 4.2) from the textbook.

The probability that the Air Conditioning of a brand new car is defective is 10%. Let X be the number of cars with defective AC in a sample of size 100. (a). Find P(X < 6) exactly. (b). ) Find P(X < 6) approximately, using a Poisson approximation (c). Find P(X < 6) approximately, using a normal approximation. Note: For parts (a) and (b), you only need to provide a formal expression each. For part (c), you need to compute the numerical values using the Q-function table (Table 4.2) from the textbook.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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