Question

A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below. X=# of red 0 1 2 3 4 5 P(X=x) 0.04 0.25 0.36 0.14 0.15 0.06 (a) Compute the mean, or expected value, of the random variable X. (b) Compute the standard deviation of the random variable X.

Name: a commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red she estimates the probability model for the number of red lights she hits as sh 70062
Uploaded: 2022-03-21T09:20:57-08:00
Duration: 2 min 35 s
Channel: Ameer Said
Description: a commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red she estimates the probability model for the number of red lights she hits as sh 70062

          A commuter must pass through 5 traffic lights on her way to work
and will have to stop at each one that is red. She estimates the
probability model for the number of red lights she hits, as shown
below.
X=# of red
0
1
2
3
4
5
P(X=x)
0.04
0.25
0.36
0.14
0.15
0.06
(a) Compute the mean, or expected value, of the random variable
X.
(b) Compute the standard deviation of the random variable X.

Added by Scott M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ameer Said

03/21/2022

Step 1

E(X) = 0 * 0.04 + 1 * 0.25 + 2 * 0.36 + 3 * 0.14 + 4 * 0.15 + 5 * 0.06 E(X) = 0 + 0.25 + 0.72 + 0.42 + 0.6 + 0.3 E(X) = 2.3 Show more…

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A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below. X=# of red 0 1 2 3 4 5 P(X=x) 0.04 0.25 0.36 0.14 0.15 0.06 (a) Compute the mean, or expected value, of the random variable X. (b) Compute the standard deviation of the random variable X.