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(Direction 28 - 40) Answer the following questions. Each question carries 5 marks.
Q. If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?
- a)0.4258.
- b)0.3968.
- c)0.5238.
- d)0.3611.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
(Direction 28 - 40)Answer the following questions. Each question carri...
Solution:
Probability of a missile hitting a target
Given that the probability of a missile hitting a target is 1/8.
Therefore, the probability of missing the target is (1-1/8) = 7/8.
Probability of at least 2 missiles hitting the target out of 10 missiles fired
We need to find the probability of at least 2 missiles hitting the target out of 10 missiles fired.
Let X be the number of missiles that hit the target out of 10 missiles fired.
Therefore, X follows a binomial distribution with n = 10 and p = 1/8.
Using the formula for the probability mass function of binomial distribution, we have:
P(X ≥ 2) = 1 - P(X < />
= 1 - P(X = 0) - P(X = 1)
= 1 - (10C0) (1/8)^0 (7/8)^10 - (10C1) (1/8)^1 (7/8)^9
= 1 - (1) (1) (0.4783) - (10) (0.125) (0.5369)
= 0.3611
Therefore, the probability that out of 10 missiles fired, at least 2 will hit the target is 0.3611.
Hence, option (d) is the correct answer.
Probability of a missile hitting a target
Given that the probability of a missile hitting a target is 1/8.
Therefore, the probability of missing the target is (1-1/8) = 7/8.
Probability of at least 2 missiles hitting the target out of 10 missiles fired
We need to find the probability of at least 2 missiles hitting the target out of 10 missiles fired.
Let X be the number of missiles that hit the target out of 10 missiles fired.
Therefore, X follows a binomial distribution with n = 10 and p = 1/8.
Using the formula for the probability mass function of binomial distribution, we have:
P(X ≥ 2) = 1 - P(X < />
= 1 - P(X = 0) - P(X = 1)
= 1 - (10C0) (1/8)^0 (7/8)^10 - (10C1) (1/8)^1 (7/8)^9
= 1 - (1) (1) (0.4783) - (10) (0.125) (0.5369)
= 0.3611
Therefore, the probability that out of 10 missiles fired, at least 2 will hit the target is 0.3611.
Hence, option (d) is the correct answer.
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Community Answer
(Direction 28 - 40)Answer the following questions. Each question carri...
N= 10
p= 1/8
q=7/8
the probability that at least 2 hit the target = 1-p(x<2)
therefore
p(x) = 1- [p(0) +p(1)]
p(x) = 1- [p(0) +p(1)]
1-[(10 C 0 x 1/8^0 x 7/8^10) + (10 C 1 x 1/8^1.7 x /8^9)]
1-[(1x1x7^10/8^10 )+ (10x7^9/8^10)]
1-[
7^9
/8^10 ( 7+10)1-[0.6388978]
=0.3611022
=0.3611 = option D
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(Direction 28 - 40)Answer the following questions. Each question carries 5 marks.Q.If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?a)0.4258.b)0.3968.c)0.5238.d)0.3611.Correct answer is option 'D'. Can you explain this answer?
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(Direction 28 - 40)Answer the following questions. Each question carries 5 marks.Q.If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?a)0.4258.b)0.3968.c)0.5238.d)0.3611.Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about (Direction 28 - 40)Answer the following questions. Each question carries 5 marks.Q.If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?a)0.4258.b)0.3968.c)0.5238.d)0.3611.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (Direction 28 - 40)Answer the following questions. Each question carries 5 marks.Q.If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?a)0.4258.b)0.3968.c)0.5238.d)0.3611.Correct answer is option 'D'. Can you explain this answer?.
Solutions for (Direction 28 - 40)Answer the following questions. Each question carries 5 marks.Q.If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?a)0.4258.b)0.3968.c)0.5238.d)0.3611.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
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