2. The intelligence quotient (I.Q) of a large number of students is normally distributed with mean 100 and standard deviation 10. Suppose that students having an L.Q of 116.4 or higher are considered "gifted". Let Y be the number of "gifted" students out of a random sample of 100 independent students, and M be the scholarship money that a prestigious school will spend on the "gifted" students, where: M-10+Y Find the expected value of M.
2. The intelligence quotient (I.Q) of a large number of students is normally distributed with mean 100 and standard deviation 10. Suppose that students having an L.Q of 116.4 or higher are considered "gifted". Let Y be the number of "gifted" students out of a random sample of 100 independent students, and M be the scholarship money that a prestigious school will spend on the "gifted" students, where: M-10+Y Find the expected value of M.
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![Section II. Numerical answer (detailed process is required to receive credit)
2. The intelligence quotient (I.Q) of a large number of students is normally distributed with mean
100 and standard deviation 10.
Suppose that students having an I.Q of 116.4 or higher are considered "gifted".
Let Y be the mumber of "gifted" students out of a random sample of 100 independent students,
and M be the scholarship money that a prestigious school will spend on the "gifted" students,
where:
M-10+Y
Find the expected value of M.
(Use integers and two decimals in your final computations. Do not round)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc279abf2-e938-425f-9593-f62a09d6ab7f%2F42f61163-4a2c-4deb-9a4b-c86b474a9a06%2Fq06t4nd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Section II. Numerical answer (detailed process is required to receive credit)
2. The intelligence quotient (I.Q) of a large number of students is normally distributed with mean
100 and standard deviation 10.
Suppose that students having an I.Q of 116.4 or higher are considered "gifted".
Let Y be the mumber of "gifted" students out of a random sample of 100 independent students,
and M be the scholarship money that a prestigious school will spend on the "gifted" students,
where:
M-10+Y
Find the expected value of M.
(Use integers and two decimals in your final computations. Do not round)
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