The distance traveled to the workplace, J km traveled by employees in a large company is normally distributed with J~ N(30,8²). a) Find the probability that a selected employee travels to work which exceeds 20 km. b) Find the third quartile Q of the travel distance J. c) Find the first quartile Q of the travel distance J.

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The distance traveled to the workplace, J km traveled by employees in a large company
is normally distributed with J ~ N(30,8²).
a) Find the probability that a selected employee travels to work which exceeds 20 km.
b) Find the third quartile Q of the travel distance J.
c) Find the first quartile Q of the travel distance J.
d) An outlier value is defined as any value of J for which J <h or J>k where
h =Q1-1.5(Q3 -Q1) from k = Q3+1.5(Q3 - Q1).
i) Get the values of h and k.
i) A worker is chosen at random, find the probability of his travel distance
to work is an outlier value.
e) State the characteristics of the Normal distribution and explain each one with an
example/diagram.
Transcribed Image Text:The distance traveled to the workplace, J km traveled by employees in a large company is normally distributed with J ~ N(30,8²). a) Find the probability that a selected employee travels to work which exceeds 20 km. b) Find the third quartile Q of the travel distance J. c) Find the first quartile Q of the travel distance J. d) An outlier value is defined as any value of J for which J <h or J>k where h =Q1-1.5(Q3 -Q1) from k = Q3+1.5(Q3 - Q1). i) Get the values of h and k. i) A worker is chosen at random, find the probability of his travel distance to work is an outlier value. e) State the characteristics of the Normal distribution and explain each one with an example/diagram.
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