Find z such that 4.8% of the standard normal curve lies to the left of z. z = Fi

Question

Find z such that 4.8% of the standard normal curve lies to the left of z. z = Find 2 such that 4.8% of the standard normal curve lies to the right of z. z = Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8 8 minutes and a standard deviation of 1.8 minutes. For a randomly received emergency call, find the following probabilities. a) the response time is between 5 and 10 minutes. b) the response time is less than 5 minutes c) the response time is more than 10 minutes Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 34 months before certain electronic components deteriorate, causing the watch to become unreliable The standard deviation of watch lifetimes is 5 months, and the distribution of lifetimes is normal (a)If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? % (b) If Accrotime does not want to make refunds on more than 10% of the watches it makes how long should the guarantee period be (to the nearest month)? months

Explanation / Answer

1) Left tail area = 0.048

So z score = - 1.66 (using z table)

2) Rignt tail area = 0.048

So z score = 1.66 ( Using z table)

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