Answer Questions 24-29 using the following additional information: A raft in the TRRR has six allocated seats. In case of an accident to a raft, the severity the accident could depend on the total weights of the occupants in the raft. Suppose X the weight (in kg) of an occupant in the raft. In the case of a raft with six occupants, l X₁, X2,..., Xs be their weights. Assume that X₁, X₂,..., Xe is a simple random sample wit the same distribution as that of X, and X N(u, o2). Let 2 6(X₁ 6 V P1²

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Answer Questions 24-29 using the following additional information:
A raft in the TRRR has six allocated seats. In case of an accident to a raft, the severity of
the accident could depend on the total weights of the occupants in the raft. Suppose X is
the weight (in kg) of an occupant in the raft. In the case of a raft with six occupants, let
X₁, X2,..., Xe be their weights. Assume that X₁, X2, Xe is a simple random sample with
the same distribution as that of X, and X N(u, o). Let
---1
2
X =
ΣΧ. ΣΧ.-x)
6
5
24. What is the distribution of X?
A. N(μ,0²)
B. N(μ/6, 02/6)
C. N(μ/6, 02/36)
D. N(μ, o2/6)
E. None of the above
S²
DIMEN
25. If = 50 and o= 4.2, what is value of c such that P(X> c) = 0.05? (3dp)
A. 1.960
B. -1.960
C. 56.909
D. 58.232
E. None of the above
Transcribed Image Text:Answer Questions 24-29 using the following additional information: A raft in the TRRR has six allocated seats. In case of an accident to a raft, the severity of the accident could depend on the total weights of the occupants in the raft. Suppose X is the weight (in kg) of an occupant in the raft. In the case of a raft with six occupants, let X₁, X2,..., Xe be their weights. Assume that X₁, X2, Xe is a simple random sample with the same distribution as that of X, and X N(u, o). Let ---1 2 X = ΣΧ. ΣΧ.-x) 6 5 24. What is the distribution of X? A. N(μ,0²) B. N(μ/6, 02/6) C. N(μ/6, 02/36) D. N(μ, o2/6) E. None of the above S² DIMEN 25. If = 50 and o= 4.2, what is value of c such that P(X> c) = 0.05? (3dp) A. 1.960 B. -1.960 C. 56.909 D. 58.232 E. None of the above
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