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.)
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70af5715-1a48-4000-83cd-86e7eb8eb57b%2F9d8cc09c-0808-4f4f-ae65-9595cf7c610a%2Ft0urccj_processed.png&w=3840&q=75)
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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