Question

Find the indicated IQ score. The graph to the right depicts IQ scores of? adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... xx0.80.8 A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom, on the right side. The region left of the line is shaded and labeled 0.8. The x-axis below the line is labeled "x". The indicated IQ? score, x, is nothing. ?(Round to one decimal place as? needed.)

Answer 1

Let X denote the IQ score then we have to find x such that

--------------------------(1)

It is given That X has normal distribution with mean 100and standard deviation 15.

Define the standard random variable Z as .

Then using normal table we have from (1)