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Normal \& Z distribution The height of 400 students are normally distributed with a mean of 158 cm and a standard deviat
Posted: Wed Jul 13, 2022 5:07 am
by answerhappygod
- Normal Z Distribution The Height Of 400 Students Are Normally Distributed With A Mean Of 158 Cm And A Standard Deviat 1 (34.92 KiB) Viewed 42 times
Normal \& Z distribution The height of 400 students are normally distributed with a mean of 158 cm and a standard deviation of 24 cm. a) What is the probability of selecting a student who is taller than 170 cm ? ( 3 marks) b) Estimate how many students (to the nearest whole number) from the total group of 400 would be taller than 170 cm (1 mark) c) What is the probability of selecting a student who is shorter than 140 cm ? ( 3 marks) d) Estimate how many students (to the nearest whole number) from the total group of 400 would be shorter than 140 cm (1 marks) e) What is the probability of selecting a student who is between 145 and 160 cm in height? (3 marks) f) 42.07% of students are taller than x cm. Calculate the value of x (2 marks) g) Applying the knowledge from the above graph, approximately how many percent of students will be between 134 and 182 cm ? Explain how you know this. (2 marks)