A person must score in the upper 2%% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. There are 110,000 Mensa members in 100 countries throughout the world (Mensa International website, January 8, 2013). If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa (to whole number)?Given that z is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. P(0 0.46) d. P(z 2 -0.50) e. P(z