Please help. I'm dumb and can't understand this.
2 answers:
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The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
Answer:
a) P(x>8) = 0.3937
b) P(x = 2) =0.04661
Step-by-step explanation:
a) From to find the probabilty that in this specific time period, more than 8 cars arrive at the intesection, we use the probability function thus
P(x>8) = 1 - P(x≤8), Cause you can use the complement for calculate this probability , then:
P(x≤8) = , until x= 8, then you obtain:
P(x≤8)=0.6063 and
P(x>8) = 1 - P(x≤8)= 1-0.6063 = 0.3937
b) P(x=2)=
P(x = 2) =0.04661