Question

There are three highways in the county. The number of daily accidents that occur on these highways are independent and follow Poisson distributions with parameters 0.2, 0.3, and 0.5, respectively. (a) Find the probability of 0 accidents that will happen on any of these highways today. (b) Find the probability of 1 accident that will happen on any of these highways today. (c) Find the expected number of accidents that will happen on any of these highways today.

Name: there are three highways in the county the number of daily accidents that occur on these highways are independent and follow poisson distributions with parameters 02 03 and 05 respectively a 48596
Uploaded: 2022-02-23T08:31:18-08:00
Duration: 2 min 24 s
Channel: Audrey Fong
Description: there are three highways in the county the number of daily accidents that occur on these highways are independent and follow poisson distributions with parameters 02 03 and 05 respectively a 48596

          There are three highways in the county. The number of daily
accidents that occur on these highways are independent and follow
Poisson distributions with parameters 0.2, 0.3, and 0.5,
respectively.
(a) Find the probability of 0 accidents that will happen on any
of these highways today.
(b) Find the probability of 1 accident that will happen on any
of these highways today. 
(c) Find the expected number of accidents that will happen on
any of these highways today.

Added by Philip W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Audrey Fong

02/23/2022

Step 1

2, 0.3, and 0.5, we can calculate the probabilities as follows: (a) Probability of 0 accidents on any highway: \[ P(X=0) = \frac{e^{-0.2} \cdot 0.2^0}{0!} \times \frac{e^{-0.3} \cdot 0.3^0}{0!} \times \frac{e^{-0.5} \cdot 0.5^0}{0!} \] ** Show more…

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There are three highways in the county. The number of daily accidents that occur on these highways are independent and follow Poisson distributions with parameters 0.2, 0.3, and 0.5, respectively. (a) Find the probability of 0 accidents that will happen on any of these highways today. (b) Find the probability of 1 accident that will happen on any of these highways today. (c) Find the expected number of accidents that will happen on any of these highways today.