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MAT 202 Random Variables Checkpoint 1
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MAT 202 Random Variables Checkpoint 1/VMAT 202 Random Variables Checkpoint 1MAT 202 Random Variables Checkpoint 1MAT 202 Random Variables Checkpoint 1MAT 202 Random Variables Checkpoint 1MAT 202 Random Variables Checkpoint 1MAT 202 Random Variables Checkpoint 1MAT 202 Random Variables Checkpoint 1M...

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  • March 9, 2022
  • 6
  • 2021/2022
  • Exam (elaborations)
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  • mat 202 random variables checkpoint 1vmat 202 random variables checkpoint 1mat 202 random variables checkpoint 1mat 202 random variables checkpoint 1mat 202 random variables checkpoint 1mat 202 rando

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Module Random Variables


Random Variables Checkpoint 1
Step 1 of 1

The first three questions refer to the following information:

The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability
distribution:

x 0 1 2 3 4 5
P(X=x) 0.20 0.30 0.20 0.15 0.10 0.05

Question 1 of 4 Points: 10 out of 10
What is the probability that in a given week there will be at most 3 accidents?

0.70
0.85
0.35
0.15
1.00
Good job! P(X ≤ 3) = .20 + .30 + .20 + .15 = .85 or P(X ≤ 3) = 1 - P(X ≤ 4) = 1 - (.10 + .05) = 1 - .15 = .85

Question 2 of 4 Points: 10 out of 10
By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there will be
less than a total of 4 accidents during that week?

1.00

, 0.90
0.85
0.70
0.50
Good job! We are given that 2 accidents have already happened. In other words, we are given X≥2 and we need to find how likely X
is to be less than 4.




Question 3 of 4 Points: 10 out of 10
On average, how many accidents are there in the intersection in a week?

5.3
2.5
1.8
0.30
0.1667
Good job! We need to find the mean of X, µx. µx = 0 * .20 + 1 * .30 + 2 * .20 + 3 * .15 + 4 * .10 + 5 * .05 = 1.8

Question 4 of 4 Points: 10 out of 10
The following three histograms represent the probability distributions of the three random variables X, Y, and Z.

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