Answer:
a) The value of a= 0.59
b) The probability that there are at-least 3 cars passing through the stop sign
P(x>3) = 0.03
c)
The Expected value of X = 0.62
d)
The variance of X is σ² = 0.9556
e)
The standard deviation of X
σ = 0.9775
Step-by-step explanation:
<u><em></em></u>
Given data
X : 0 1 2 3 4 5
P(x) : a 0.30 0.05 0.03 0.02 0.01
a)
∑ 
= 1
a + 0.30+ 0.05+ 0.03+ 0.02+0.01 = 1
a + 0.41 = 1
a = 1 - 0.41
<em> a = 0.59</em>
b)
<em> The probability that there are at-least 3 cars passing through the stop sign</em>
<em>P(x >3) = P( x=4) + P( x=5)</em>
= 0.02 +0.01
= 0.03
c)
X : 0 1 2 3 4 5
P(x) : 0.59 0.30 0.05 0.03 0.02 0.01
The Expected value of X
E(X) = ∑ x P(X= x)
= 0 + 1 ×0.30 + 2×0.05 + 3×0.03 + 4×0.02 + 5×0.01
= 0.30 + 0.1 + 0.09 +0.08 +0.05
= 0.62
<em>The Expected value of X </em>
<em> E(X) = 0.62</em>
<em>d) </em>
The variance of the discrete distribution
σ² = ∑ x²p(x) -μ²
σ² = 0 + 1² ×0.30 + 2² ×0.05 + 3² ×0.03 + 4² ×0.02 + 5²× 0.01 - (0.62)²
= 1.34 - 0.3844
= 0.9556
σ² = √0.9556
<em>e) The standard deviation of the discrete distribution</em>
<em> σ = 0.9775</em>
<em></em>
Both are solid lines so its neither B or D
It is C because The first inequality in A would shade down when the graph shades up
Answer:
The answer is B. Because of 305 minus 151 is easily 154
Step-by-step explanation:
The selected statistical questions are as follows:
<em>A what is the typical amount of rainfall for the month of June in the Galapagos islands</em>
<em />
<em>D how many songs does the class usually listen to each day</em>
<em />
<em>G how long does it typically take for 2nd graders to walk a lap around the track</em>
Statistical questions are known by these two main characteristics:
- they are answered by the collection of data
- there is always variability in the data collected
This means that the data vary. They are not the same data. For example, "How old is Monday?" is not a statistical question because it has one answer.
Thus, statistical questions are not answered by a single number or answer, especially when the correct answer is just one.
Learn more examples of statistical questions here: brainly.com/question/15729334
Answer:
c
Step-by-step explanation:
Since the angles add up to 180, they are supplementary.
That means that they are equal and parallel.
