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Answer:
Step-by-step explanation:
Given that customers arrat a service window according to a poisson process with an average of 0.2 per minute
= 12 per hour.
a) the probability that the time between two successive arrivals is less than 6 minutes
= For one hour more than 60/6 =10 customers arrive.
P(X>10) = 0.6528
b) Prob that there will be exactly three arrivals during a given 10-minute period
P(x=3) for average 2
= 0.1804
Answer: It would take 9 hours for 4 painters to paint 720 feet of fence.
Step-by-step explanation:
1.) Calculate the time needed to paint the 720 ft fence with 2 painters.
a.) Divide 720 by 280 to get how many times greater 720 is than 280.
720 / 280 ≈ 2.57
b.) Multiply the time needed to paint the 280 ft fence with 2 painters by 2.57.
7 * 2.57 ≈ 18
2.) Calculate the time needed to paint the 720 ft fence with 4 painters.
a.) Assuming that each painter paints the same amount of fence, divide the time in half, as 4 painters is double the original amount, so it would take half of the time.
18 / 2 = 9