Please help me with the process to find the answer for #15, #16, #17 and #18
1 answer:
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Answer: 3/10
Step-by-step explanation:
Take the derivative of to get
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
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