Find probability that inter-arrival time is in range

Assignment Help Basic Statistics

Reference no: EM13122929

The number of calls for service utilizing the 911 system received by the Cape Coral Police Department on a Saturday night is 20 calls per hour and follows a Poisson distribution.

a. Find the mean and standard deviation for the number of calls between midnight and 3 am.

If the number of calls exceeds 30 per hour, then lower priority calls may not receive police follow-up in a timely manner.

b. Find the probability that no more than 30 calls are received during any given hour on Saturday night.

c. What is the probability over the course of a twelve hour shift that there will be at least one hour in which follow-up is not timely?

The inter-arrival time between calls is the length of time between the receipt of one call and the next.

d. Find the probability that the inter-arrival time between two consecutive calls is between 1 and 2 minutes.

Reference no: EM13122929

Questions Cloud

Slope of a line-building parks in city : The number of parks, y, being built in a city over a period of time, x, is graphed on a rectangular coordinate system. Write a paragraph describing your interpretation when the slope is positive

What is the concentration of the acid solution : 460. mL of hydrochloric acid (HCl) acid is exactly neutralized with 485 mL 0.660 M NaOH solution. What is the concentration of the acid solution.

Financial statement cycles : When the auditor has the same level of willingness to risk that material misstatements will exist after the audit is finished for all financial statement cycles:

Functions and equations - printing press : A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any number of metal printing plates from 1 to 20 on his press.

Find probability that inter-arrival time is in range : What is the probability over the course of a twelve hour shift that there will be at least one hour in which follow-up is not timely?

To what temperature must the gas be heated : A sample of nitrogen gas is contained in a piston with a freely moving cylinder. At0?C, the volume of the gas is 248 mL. To what temperature must the gas be heated to occupy a volume of 479mL.

Cost of goods manufactured : Kushman Combines, Inc. has $20,000 of ending finished goods inventory as of December 31, 2010. If beginning finished goods inventory was $10,000 and cost of goods sold was $40,000, how much would Kushman report for cost of goods manufactured?

How tickets in the box show positive numbers : Five hundred draws are made at random with replacement from a box of numbered tickets; 276 are positive. someone tells you that 50% of the tickets in the box show positive numbers.

Quadratic function - firing a bullet : Suppose a bullet is fired on a distant planet so that its height (in feet) after t seconds is given by h=-4t2 + 16t +5. The 2 in 4t2 is a small 2, but I don't know how to do that with my keyboard.

User Account

All Pages