According to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter
1 answer:
Answer:
0.0635,0.1093
Step-by-step explanation:
Given that according to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter.
Suppose such an adult male is randomly chosen.
Let X be height of that person.
X is N*(171,7.3)
a) The probability that the person is between 160 and 170 centimeters is
=
Take any std normal table where prob are given from 0 to 3
Since symmetrical we take the prob for 1.51 and 2.88 and find the difference
= 0.4980-0.4345
=0.0635
b) The probability that the person is higher than 190 centimeter is
=
= 0.5-value corresponding to 1.23
= 0.5-0.3907
=0.1093
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