QUESTION '5 The Kite of NYP students are normally distributed with variance 400 and unknown mean. Find the mean if it is known that 2.5% of the NYP students have IQ exceeding 150. QUESTION 1' A recent survey on a group of adults shows that the average daily calories intake of an adult is normally distributed with mean 1380 calories and standard deviation 320 calories. (a) Find the probability that an adult chosen at random from this group consumes less than 1000 calories per day. (b) What should be the recommended daily caloric intake if 90% of the group has average daily calories below this recommended daily intake? (c) If 12.000 adults participated in the survey. nd the expected number of people. to the nearest integer. to consume more than 1200 calories per day 2 Tutorial 4 Business Statistics ___ QUESTIDH E A company manufactures and distributes car wheels. The weights of the wheels are normally distributed such that 4.36% are under 30 kg and 6.3% are over 60 kg. Calculate the mean and standard deviation of the distribution