Sergio makes belts in his garage.He makes a certain number of belts for every hour he works.what is the missing value in the tab
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1 answer:
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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>
Answer:
18 cm²
Step-by-step explanation:
The area labelled A is a triangle.
The area (A) of a triangle is calculated using the formula
A = bh ( b is the base and h the height )
here b = 9 and h = 4 ( the same height as the rectangle ), thus
A = × 9 × 4 =
× 36 = 18 cm²