received
23. a) Students of a class were given an aptitude test. Their marks
were found to be normally distributed with mean 60 and
standard deviation 5. What percent of student scored:
(i) More than 60 marks? (ii) Less than 56 marks?
(iii) Between 45 and 65 marks?
b) The incidence of sea sickness for passengers travelling by
ships is such that every passenger has 20% chance of
suffering from it. What is the probability that out of a team
of 6 passengers 4 or more will suffer from the sickness?
Answers
Answer:
Students of a class were given an aptitude test. Their marks were formed to be normally distribution with mean 60 and standard deviation 5. What percent of student scored between 45 and 65 marks.
A) 48%
B) 52%
C) 84%
D) 16%
Correct Answer:
C) 84%
Description for Correct answer:
μ=60,σ=5,z=X−μσ
X=45,z=45−605=−155=−3
X=65,z=65−605=1
P(−3<x<1) is to be formed
P(−3<x)=0.4986 (by symemetric)
P(X<1)=0.3413
P(−3<X<1)=0.4986+0.3413=0.84=84%
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