(10 pes) The time required to assemble an electronic component is normally wwith

Question

(10 pes) The time required to assemble an electronic component is normally wwith a mean of 15 minutes and a standard deviation of 3 minutes. What is the prob a component is assembled in less than 10 minutes? 2 (10 pts) The number of shares traded per day on the New York Stock Exch called the daily trading volume. Past records show that the daily trading modeled by a normal distribution with a mean of 2.2 billion shares and a sta of 5 billion Trading on a particular day is reported as unusually low if it is a 10% of trading volumes. How small must the number of shares traded on day to be reported as having "unusually low" trading volume?

Explanation / Answer

1)

let x denote the time required to assemble the component

mean i.e = 15 minutes

standard deviation i.e = 3 minutes

z value =(x-)/

z value x =10 is (10-15)/3 = -5/3 = -1.667, corresponding p value using z table is 0.0478

so P(x<=10) = 0.0478

probability that the component is assembled in less than 10 minutes is 0.0478

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