IQ is normally distributed with a mean of 100 and a standard deviation of 15. Su

Question

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let

X = IQ of an individual.

The middle 20% of IQs fall between what two values?

Write the probability statement.

P(x1 < X < x2) =

State the two values:

X1=

X2=

Sketch the graph.

www webassignnet/web/Student/Assignment-Responses/submit?dep: 17635559 IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Lex-g or an individual, Part (a) Part (b) Part (c) Part (d) The middle 20% of IQs fall between what two values? Write the probability statement State the two values. (Round your answers to the nearest whole number) x1 x2 - Sketch the graph. 140 o 60 8100 120 140 100 120 O 6080

Explanation / Answer

Correct graph is C

mean is 100 and s is 15

z will be calculated for (1-0.2)/2+0.2=0.6 . from normal distribution table we get z=0.25

thus lower bound is mean-z*s=100-15*0.25=96.25

upper bound is mean+z*s=100+15*0.25=103.75

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