3. (Independent Trials). A rifleman hits (H) his target with probability 16/23, and hence misses (M) with probability 7/23. He fires four times. (i) Write down all the elements of the event A that the man hits the target exactly twice (e.g. the samples MMHH and MHMH belong to A, but the samples HHHM and MMMH don’t) and find P(A). (ii) Assuming independence of shots, find the probability that the man hits the target at least once.

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Q: . (a) If for two events, A and B 1 1 and P(A/B) Then find P(B- A). 4. P(B) %3D -

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

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A: Given,  P(m1) = 0.45 So, P(m0) = 1-0.45 = 0.55 P(B0|m0) = 0.40, So, P(B1|m0) = 1-0.4 =0.60 P(B0|m1)…

Q: (ii) The desks in a certain classroom are produced by three different carpenters A, B and C. A…

A: 8) ii) Given: P(A)=0.3 P(B)=0.45 P(C)=1-0.3-0.45 =0.25 P(D|A)=0.03 P(D|B)=0.06 P(D|C)=0.04 a) The…

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A: Given,P(A)=13P(B)=12P(A∪B)=34

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A:

Q: If P(A) = 0.1, P(B) = 0.6 where A,B are 2 disjoint events find P(AN B) Select one: a. 0.18 b. 0.12…

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A:

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A: Note: Please repost remaining questions as i can author only 1 question as per my policy.   2) Given…

Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

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A: From the provided information, P (A) = 3/8 P (B) = 3/8 P (A ∩ B) = 1/8

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A: There are five equally likely simple events,  so each event has probability .

Q: 4. P4 = P(A | Bº). (P1, P2, P3, P4) =(

A: From the given information we have P(B) = 47/210 P(Bc) = 1 - P(B) = 1 - 47/210 = 163/210

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Q: Suppose that A and B are independent events such that P (A) = 0.10 and P(B) = 0.50. Find P(An B) and…

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A: Given data P(A) = 1/4 P(B) = 1/3 PA∪B = 1/2 PB|A = PA and B/P(A) P(A U B) = P(A) + P(B) - P(A and B)…

Q: 3. (Independent Trials). A rifleman hits (H) his target with probability 2/5, and hence misses (M)…

A: Given  PH=25 PM=35

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose A and B are independent events with P(A) = .6 and P(B) .8. Find (a) P(AU B), (b) P(AU B“),…

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Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: Milan state

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Q: Find the probability that exactly 18 teenagers in the sample are not habitual smokers.

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Q: (a) For two events A and B, suppose that P(A) = 0.3, P(B) = 0.5, and P(AUB) = 0.6. Calculate P(ANB).…

A: As per our guidelines we are suppose to answer only one question kindly post the remaining question…