The average rate of job submissions in a busy computer center is 4 per minute. If it can be assumed that the number of submissions per minute interval is Poisson distributed, calculate the probability that at least 22 seconds will elapse between any two jobs. Only the final answer should be rounded off to TWO decimal places.

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1. The average rate of job submissions in a busy computer center is 4 per minute. If it can be assumed that the number of submissions per minute interval is Poisson distributed, calculate the probability that at least 22 seconds will elapse between any two jobs. Only the final answer should be rounded off to TWO decimal places.

2. A new customer enters a shop every 1.22 minutes, on average. After a customer arrives, find the probability that a new customer arrives in less than 1.92 minute. Only the final answer should be rounded off to TWO decimal places.

3. The average age of Amtrak passenger train cars is 19.4 years. If the distribution of ages is normal and 20% of the cars are older than 22.8 years, then the standard deviation is 

 
 
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