An aptitude test for selecting officers in a bank was conducted on 1,000 candidates, the
average score being 42 and the standard deviation being 24. Assuming normal distribution
for the score, find :
a) The number of candidates whose scores exceed 58
b) The number of candidates whose scores lie between 30 and 66.
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Answer:
a)The number of candidates whose scores exceed 58 are 252
b)The number of candidates whose scores lie between 30 and 66 are 533
Step-by-step explanation:
Given that,
Number of candidates are n=1000
Average score is N=42
The standard deviation is σ=24
The test statistic is
(a)The probability of number of candidates whose scores are greater than 50 are
From normal distribution table we get the above value as
Therefore number of students with score greater than 50 are
(b)Probability of students whose scores are between 30 and 66 are
From normal distribution table the above value is calculated as
Therefore,the number of students with scores in between 30 and 66 are
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