A commuter must pass through five traffic lights on her way to work and will have...
A commuter must pass through five 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 (xx), as shown below:
| xx | 0 | 1 | 2 | 3 | 4 | 5 |
| p(x)p(x) | 0.03 | 0.15 | pp | 0.11 | 0.1 | 0.07 |
Find the probability that she hits at most 3 red lights. Answer to 2 decimal places.
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Find the probability that she hits at least 3 red lights. Answer to 2 decimal places.
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How many red lights she expect to hit? Answer to 2 decimal places.
| Incorrect. | Tries 1/5 | Previous Tries |
What is the standard deviation of number of red lights she hits? Answer to 3 decimal places.
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Let us consider any two consecutive days. What is the chance that she hits exactly two red lights on both days? Answer to 4 decimal places.
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A commuter must pass through five traffic lights on her way to
work and will have...
A commuter must pass through 5 traffic lights on her way to work and will have...
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. The mean number of lights she will hit is 2.22 X =# of red 0 1 2 3 4 5 PIX=x) 0.06 0.25 0 .35 0.14 0.15 0.05 Compute the standard deviation of the random variable X 0-0 (Round to...
A commuter must pass through 5 traffic lights on her way to work and will have...
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) 0.03 0.24 0.36 0.15 0.14 0.08 (a) Compute the mean, or expected value, of the random variable X. muequals 2.4 (Round to one decimal place as needed.) (b) Compute the...
A commuter must pass through five traffic lights on her way to work, and she will...
A commuter must pass through five traffic lights on her way to work, and she will have to stop at each one that is red. After years of commuting she has developed the following probability distribution for the number of red lights she stops at each day on her way to work: No. of red lights x 0 1 2 3 4 5 Probability .05 .25 .30 .20 .15 .05 Note that the standard deviation of the above probability distribution...
A commuter must pass through five traffic lights on her way to work, and she will...
A commuter must pass through five traffic lights on her way to work, and she will have to stop at each one that is red. After years of commuting she has developed the following probability distribution for the number of red lights she stops at each day on her way to work No. of red lights Probability o 1 2 3 4 5 OS 25 30 30.5 TOS Note that the standard deviation of the above probability distribution is SDX)...
the histogram shows the distribution of stops for red traffic lights a commuter must pass through...
the histogram shows the distribution of stops for red traffic lights a commuter must pass through on her work use the histogram to find the mean variance and standard deviation and expected value of the probability distribution
0.36 The histogram shows the distribution of stops for red traffic lights a commuter must pass...
0.36 The histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. Use the histogram to find the mean, variance, standard deviation, and expected APOLL) value of the probability distribution. 0.40- 0.30+ 0.20- 0.26 0.15 0.15 0.107003 0.00 The mean is (Round to two decimal places as needed.) The variance is (Round to four decimal places as needed.) The standard deviation is (Round to four decimal places as needed.) The...
W-04 EIN-3235 Problem No.4.2 / 10 pes. A commuter passes through 3 traffic lights on the...
W-04 EIN-3235 Problem No.4.2 / 10 pes. A commuter passes through 3 traffic lights on the way to work Each light is either red (R), yellow (Y), or green (G). An experiment consists of observing the colors of the 3 traffic lights. 1) How many outcomes are there in the sample space? List all outcomes. 2) Let A be the event that all the colors are the same. List the outcomes in the event A. 3) Let B be the...
There are two traffic lights on a commuter's route to and from work. Let X1 be...
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n-2). = 0.9,02 = 0.69 x1 0 1...
There are two traffic lights on a commuter's route to and from work. Let X1 be...
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2). 0 1 2 u =...
The number of red lights you hit on your drive to work is a random variable...
The number of red lights you hit on your drive to work is a random variable that can take on values 0,1,2,3,4 with the following probabilities P(0) = 0.2 P(1) = 0.15 P(2)= 0.25 P(3) = 0.30 P(4) = 0.1 What is the probability that you hit less than 2 red lights on your commute?
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. The mean number of lights she will hit is 2.22 X =# of red 0 1 2 3 4 5 PIX=x) 0.06 0.25 0 .35 0.14 0.15 0.05 Compute the standard deviation of the random variable X 0-0 (Round to...
A commuter must pass through five traffic lights on her way to work, and she will have to stop at each one that is red. After years of commuting she has developed the following probability distribution for the number of red lights she stops at each day on her way to work No. of red lights Probability o 1 2 3 4 5 OS 25 30 30.5 TOS Note that the standard deviation of the above probability distribution is SDX)...
0.36 The histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. Use the histogram to find the mean, variance, standard deviation, and expected APOLL) value of the probability distribution. 0.40- 0.30+ 0.20- 0.26 0.15 0.15 0.107003 0.00 The mean is (Round to two decimal places as needed.) The variance is (Round to four decimal places as needed.) The standard deviation is (Round to four decimal places as needed.) The...
W-04 EIN-3235 Problem No.4.2 / 10 pes. A commuter passes through 3 traffic lights on the way to work Each light is either red (R), yellow (Y), or green (G). An experiment consists of observing the colors of the 3 traffic lights. 1) How many outcomes are there in the sample space? List all outcomes. 2) Let A be the event that all the colors are the same. List the outcomes in the event A. 3) Let B be the...
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n-2). = 0.9,02 = 0.69 x1 0 1...
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2). 0 1 2 u =...
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