If We Plot a Continuous Probability Distribution F(x),the Total Probability

question 16

Multiple Choice

If we plot a continuous probability distribution f(x) ,the total probability under the curve is

• A) -1
• B) 0
• C) 1
• D) 100
• Suppose that the number of customers arriving each hour at the only checkout counter at a local convenience store is approximately Poisson distributed with an expected arrival rate of 30 customers per hour.Let X represent the number of customers arriving per hour.The probabilities associated with X are shown below.
• P(X < 5)= 0.0000,P(X < 10)= 0.0000,P(X < 15)= 0.0009,
• P(X < 20)= 0.0219,P(X < 25)= 0.1572,P(X < 30)= 0.4757
• P(X = 30)= 0.0726,P(X = 31)= 0.0703,P(X = 32)= 0.0659,
• P(X = 33)= 0.0599,P(X = 34)= 0.0529,P(X = 35)= 0.0453

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