I have a Probability question from about a year ago, involving the normal distribution, which I answered but I lost the paper my answer was on, until now. I have finally found it, but now that I'm looking over my answer from a year ago, I see that there are no formulas and certainly no normal distribution table to support my answer. Would someone please be able to help me with this? I need to know what the normal distribution table will look like to support my working and where to put the formulas into my equations.
The normal distribution
Give clear explanations and show all working. You must provide a diagram and correct probability statements for the question.
The weights of newborn babies in Battland are normally distributed with a mean of 3.43 kg and standard deviation of 0.36 kg.
1% of newborn babies are classed as low birthweight babies and often in need of special care. What weight is defined as low birthweight in Battland?
Working:
3.43 - (0.36 x 3)
= 2.35
2.35 - 3.43 divided by 0.6 = 0.4987
0.5 - 0.4987 = 0.0026
0.5 - 0.0026 = 0.4974
z = 2.79
0.36 x 2.79 = 1.0044
3.43 - 1.0044 = 2.4256
= 2.43
So, 2.43 kg is defined as low birthweight in Battland
The normal distribution
Give clear explanations and show all working. You must provide a diagram and correct probability statements for the question.
The weights of newborn babies in Battland are normally distributed with a mean of 3.43 kg and standard deviation of 0.36 kg.
1% of newborn babies are classed as low birthweight babies and often in need of special care. What weight is defined as low birthweight in Battland?
Working:
3.43 - (0.36 x 3)
= 2.35
2.35 - 3.43 divided by 0.6 = 0.4987
0.5 - 0.4987 = 0.0026
0.5 - 0.0026 = 0.4974
z = 2.79
0.36 x 2.79 = 1.0044
3.43 - 1.0044 = 2.4256
= 2.43
So, 2.43 kg is defined as low birthweight in Battland