MAT 031-Week #5 (10 Week) Bridge Problems - Unit 2 Lessons 6 & 7
1.
in
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Students
a school district are given an IQ test. If a student is randomly selected (round all probabilities
to 4 decimal places):
a. Find and interpret the probability that they are gifted (IQ of at least 130). Is this unusual?
b. Find and interpret the probability that they have a mental disability (1Q of at most 69). Is this
unusual?
c. Find and interpret the probability that they have a borderline mental disability (IQ of between
70 & 84).
d. Students with the highest 5% of 10's are eligible for the Gifted and Talented program. What is
the cutoff (minimum) score (to the nearest IQ) for eligibility for this program? Interpret
e. Students with the lowest 25% of 10's are eligible for a special intervention program. What is
the maximum score (to the nearest 10) for eligibility for this program? Interpret
f. Students with the middle 30% of 10's will be given a special assessment for potential career
aptitudes. Between what two IQ's (to the nearest IQ) must students have to be given the
assessment? Interpret

Question

18-06-2024
Mathematics

Answered

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MAT 031-Week #5 (10 Week) Bridge Problems - Unit 2 Lessons 6 & 7
1.
in
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Students
a school district are given an IQ test. If a student is randomly selected (round all probabilities
to 4 decimal places):
a. Find and interpret the probability that they are gifted (IQ of at least 130). Is this unusual?
b. Find and interpret the probability that they have a mental disability (1Q of at most 69). Is this
unusual?
c. Find and interpret the probability that they have a borderline mental disability (IQ of between
70 & 84).
d. Students with the highest 5% of 10's are eligible for the Gifted and Talented program. What is
the cutoff (minimum) score (to the nearest IQ) for eligibility for this program? Interpret
e. Students with the lowest 25% of 10's are eligible for a special intervention program. What is
the maximum score (to the nearest 10) for eligibility for this program? Interpret
f. Students with the middle 30% of 10's will be given a special assessment for potential career
aptitudes. Between what two IQ's (to the nearest IQ) must students have to be given the
assessment? Interpret

Sagot :

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