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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Answer:
Option D
Step-by-step explanation:
32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).
Distance between two points and
is given by the expression,
Distance =
Distance between M(2, -3) and N(3, 1) will be,
MN =
=
=
Distance between M(2, -3) and O(-3, 1),
MO =
=
=
Distance between N(3, 1) and O(-3, 1),
NO =
= 6
Condition for right triangle,
c² = a² + b² [Here c is the longest side of the triangle]
By this property,
MO² = MN² + NO²
41 = 17 + 36
41 = 51
False.
Therefore, given triangle is not a right triangle.
Since, length of all sides are not equal, given triangle will be a scalene triangle.
Option D is the correct option.