The heights of boys at a particular age follow a normal distribution with mean 150.3 and standard deviation 5cm. Find the probability that the height of a boy picked at random from the age group is i.more than 10 cm from the mean height.
2 answers
95.4% of a normally distributed population lies within two s.d. of the mean
Z = (score-mean)/SD = (score-105.3)/5
Since you don't indicate the direction of deviation, the score could be 140.3 or 160.3. If you don't want to use the equation, the scores are ± 2Z.
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability for the Z scores.
Since you don't indicate the direction of deviation, the score could be 140.3 or 160.3. If you don't want to use the equation, the scores are ± 2Z.
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability for the Z scores.
1 answer