The number of accidents that occur at a busy intersection is...

The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 3.1 per week. Find the probability of the following events. A. No accidents occur in one week. Probability = B. 9 or more accidents occur in a week. Probability = C. One accident occurs today. Probability =

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00:01 Okay, we are told the mean number of accidents in a week is 3 .1 and this follows a poisson distribution.

00:08 So this requires a calculator, the ti -84 plus is a good one to use.

00:14 And i want to work out, first of all, the chance of zero accidents in a week.

00:21 So to do that, i use the function called poisson pdf and that you will find on the ti -i -a -sid.

00:32 84 plus calculator.

00:34 If you press second, followed by vars, v -a -r -s, on the right, just below the arrow keys.

00:41 That brings up the menu for distributions.

00:44 The arrow key go down past number nine at the bottom until you reach plus on pdf.

00:53 It is the d item, so press on pdf.

00:56 Press enter, and it will say mu first that's the mean so it's 3 .1 and then x is none so 0 goes here so two number input the mean followed by 0 in this case so do that 3 .1 and 0 paste and enter and get the answer we need 0 .045 .049.

01:31 But i think about enough.

01:33 045.

01:37 That's the first one.

01:39 Now, p of nine or more in a week.

01:43 Plus 9, 10, 11, 12, and so on.

01:45 In theory, you're forever.

01:47 And to do that, it's always done, going backwards.

01:50 1 minus p of, i want to get 9 or more.

01:57 I don't want 8 or less...

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