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A country's government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles. The probability that an intruding object (e.g., a missile) will be detected on a flight track by SBIRS is 0.6. Consider a sample of 10 simulated tracks, each with an intruding object. Let x equal the number of these tracks where SBIRS detects the object. Complete parts a through d. a. Give the values of p andn for the binomial distribution. p = .6 (Round to one decimal place as needed.)

A country's government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles. The probability that an intruding object (e.g., a missile) will be detected on a flight track by SBIRS is 0.6. Consider a sample of 10 simulated tracks, each with an intruding object. Let x equal the number of these tracks where SBIRS detects the object. Complete parts a through d. a. Give the values of p andn for the binomial distribution. p = .6 (Round to one decimal place as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Part d pleasS

A country's government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles. The probability that an intruding object (e.g., a missile) will be detected on a flight track by SBIRS is 0.6. Consider a sample of 10 simulated tracks, each with an intruding object. Let x equal the number of these tracks where SBIRS detects the object. Complete parts a through d. a. Give the values of p and n for the binomial distribution. p = .6 (Round to one decimal place as needed.) n = 10 b. Find P(x = 3), the probability that SBIRS will detect the object on exactly 3 tracks. P(x = 3) = (Round to three decimal places as needed.) c. Find P(x2 3), the probability that SBIRS will detect the object on at least 3 tracks. P(x2 3) = (Round to three decimal places as needed.) d. Find E(x) and interpret the result. O A. E(x) = 3. For every 10 intruding objects, SBIRS will detect an average of 3. B. E(x) = 6. For every 10 intruding objects, SBIRS will detect an average of 6. C. E(x) = 5. For every 10 intruding objects, SBIRS will detect an average of 5. D. E(x) = 4. For every 10 intruding object, SBIRS will detect an average of 4. O E. E(x) = 2.4. For every 10 intruding objects, SBIRS will detect an average of 2.4.
Transcribed Image Text:A country's government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles. The probability that an intruding object (e.g., a missile) will be detected on a flight track by SBIRS is 0.6. Consider a sample of 10 simulated tracks, each with an intruding object. Let x equal the number of these tracks where SBIRS detects the object. Complete parts a through d. a. Give the values of p and n for the binomial distribution. p = .6 (Round to one decimal place as needed.) n = 10 b. Find P(x = 3), the probability that SBIRS will detect the object on exactly 3 tracks. P(x = 3) = (Round to three decimal places as needed.) c. Find P(x2 3), the probability that SBIRS will detect the object on at least 3 tracks. P(x2 3) = (Round to three decimal places as needed.) d. Find E(x) and interpret the result. O A. E(x) = 3. For every 10 intruding objects, SBIRS will detect an average of 3. B. E(x) = 6. For every 10 intruding objects, SBIRS will detect an average of 6. C. E(x) = 5. For every 10 intruding objects, SBIRS will detect an average of 5. D. E(x) = 4. For every 10 intruding object, SBIRS will detect an average of 4. O E. E(x) = 2.4. For every 10 intruding objects, SBIRS will detect an average of 2.4.
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