A school teacher runs a test with their class to try to identify any children who may show signs of dyslexia. This test has previously been ran on lots of children, where scores show a normal distribution with a population mean score of 40 points, with a standard deviation of 4.6 points. The school has decided it will provide further investigation for any children who score less than 32 points. Those who are in the top 5% of scores are to be considered gifted and drafted into advanced programmes. Based on the previously observed distribution, what proportion of children will score less than 32 points on this test?

Select one:

a.0.0409

b.0.9591

c.0.7580

d.0.9236

no expanation needed