Answer:
the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)
Step-by-step explanation:
Since the random variable X= length of component chosen at random , is normally distributed, we can define the following standardized normal variable Z:
Z= (X- μ)/σ
where μ= mean of X , σ= standard deviation of X
for a length between 4.98 cm and 5.02 cm , then
Z₁= (X₁- μ)/σ = (4.98 cm - 5 cm)/0.02 cm = -1
Z₂= (X₂- μ)/σ = (5.02 cm - 5 cm)/0.02 cm = 1
therefore the probability that the length is between 4.98 cm and 5.02 cm is
P( 4.98 cm ≤X≤5.02 cm)=P( -1 ≤Z≤ 1) = P(Z≤1) - P(Z≤-1)
from standard normal distribution tables we find that
P( 4.98 cm ≤X≤5.02 cm) = P(Z≤1) - P(Z≤-1) = 0.841 - 0.159 = 0.682 (68.2%)
therefore the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)
Answer:
25/324
Step-by-step explanation:
Make a table of possible products:
Of the 36 results, 10 are greater than 15.
The probability the product is greater than 15 on a single roll is 10/36 = 5/18.
The probability the product is greater than 15 on two rolls is (5/18)² = 25/324.
1: yes it is a polygon because it has more than 3 straight sides
2:it is called a hexagon because it has six sides
3:they are all equal
4:concave because all angles are less than 180°
5: regular because all angles are escualos
Answer:
d. it depends on the research hypothesis
Step-by-step explanation:
Given
Required
Mode of variable conceptualization
In all cases, the research hypothesis serve a guide to determine the variable and what to test in the variable.
It is also through the research hypothesis that the researcher will know the expected output and prediction of the experiment
What does this means?
It means that the researcher have to depend on the research hypothesis before they conceptualize the variable.