please need help with d and e 260 IER is constructed to have normally dis- 0 and

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please need help with d and e

260 IER is constructed to have normally dis- 0 and a standard deviation of 16. 24. A well Known test of intelligence i tributed scores with a mean of 10 a. What is the probability that someone picked at random will have an ribhuted acores with a meami of 1 10 of 122 or higher? h. There are 10s so high that the probability is .05 that they will occur in a random sample of people. Such IQs are beyond what value? e What is the probabiliy that someone picked at random will have an IO between 90 and 110 d. What is the probability of selecting two people at random i with both having 10s of 122 or greater? ii. with both having 1Qs between 90 and 110? 1O between 90 and 110? gifted students. Part of the entry requirement for the curriculum is to ili, with one having an 10 of 122 or greater and the other having an e. An elementary school creates a special curriculum for talented and be in the 90th percentile for 10. What IO score will a child require to be considered for this curiculum? 25. A rlllnoun

Explanation / Answer

D)MEAN = 100

STANDARD DEV = 16

1)P(X>122) =

For x = 122, z = (122 - 100) / 16 = 1.37

Hence P(x > 122) = P(z > 1.37) = [total area] - [area to the left of 1.37]

= 1 - 0.9147 = 0.0853

2)

For x = 90 , z = (90 - 100) / 16 = -0.625 and for x = 110, z = (110 - 100) / 16 = 0.625

Hence P(90 < x < 110) = P(-0.625 < z < 0.625) = [area to the left of z = 0.625] - [area to the left of -0.625]

= 0.7324 - 0.2676 = 0.4648

3) IN THIS ONE IS GREATER THEN 122 AND OTHER IS BETWEEN 90 AND 110

THEN THE PROBABILITY = 0.4648*0.0853 = 0.0396

E) FOR THE 90TH PERCENTILE = 0.90

Z SCORE = 1.29

Z = MEAN+Z*STANDARD DEV = 100+1.29*16 = 120.64

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