Page 64 - Math SL HB Sem 3
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)Finding p and o (Paper 1 Question cannot be solved using GDC):
\. Example:
The reaction times of a group of drivers are normally distributed with mean, p, and the standard
deviation, o. lt is known that 85% of those drivers have a reaction time greater than 0.70 seconds
and 3% have a reaction time less than 0.66 seconds.
Find the value of the mean, p, and the standard deviation, o.
) Normal and binomial probability distributions
Example:
The heights of a type of plant are norma y distributed with mean of5.3rm and standard
deviation 0.5cm. A pot of this plant is selected at random.
a) Find the probability that the selected plant has a height more tha n 4.6ctn and less than
5.6cm.
A gardener buys 15 iots of the ptants. Find
bi) the probability that all '15 pots of plant have heights more than 4.6cm and ress than
5.6on.
ii) the probability that more than 13 pots of plant have heights more than 4.6c1n and less
than 5.6cm.
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