LeBron’s average bowling score for the season is 180 with a standard deviation of 28. Use technology to determine which of the following represents the probability that LeBron records a score higher than 200.(1 point)
Responses
76.2%
76.2%
1.1%
1.1%
17%
17%
23.8%
1.1%
Given μ=5 and σ=0.5 , find the probability that a random variable, x, is between 3.6 and 6.1.(1 point)
Responses
−98.4%
negative 98.4 percent
98.6%
98.6%
1.4%
1.4%
98.4%
98.6%
Use the image to answer the following question.
A normal curve is marked and labeled to show the values of a normal distribution. Three percentages are listed above the curve. The Mean and Standard Deviations are below the horizontal axis. Within the curve, 8 regions and percentages are defined. The graph is titled The Empirical Rule.
Given a dataset of 60 values with the normal model N(71, 5) , approximately how many values should fall between 61 and 71 for the normal model to apply?(1 point)
Responses
48
48
34
34
10
10
29
34
Marcus is examining a histogram based on a dataset. He notices that the data is roughly symmetrical around a single peak at 50. The mean of the data is at 50.5 and the +1σ
point is at 60.5. What is the normal model for the data distribution?(1 point)
Responses
(50,10.5)
open paren 50 comma 10 point 5 close paren
(50,60.5)
open paren 50 comma 60 point 5 close paren
(50.5,10)
open paren 50 point 5 comma 10 close paren
(50.5,60.5)
(50.5, 10)
Lydia collected samples to see how many cars passed by her house in a period of 5 minutes. This is the data that she collected:
17, 8, 17, 21, 16, 15, 13, 10, 18, 17, 23, 17, 18, 10, 18, 13, 16, 21, 17, 16.
The normal model that Lydia calculated for this model is N(16.05, 3.78).
Then, Lydia used the Empirical Rule to check whether this data fits the Empirical Rule. She checked the number of data that were to the left of the +1σ
point, which is 19.83. What is the correct conclusion?
A normal curve is marked and labeled to show the values of a normal distribution. Three percentages are listed above the curve. The Mean and Standard Deviations are below the horizontal axis. Within the curve, 8 regions and percentages are defined. The graph is titled The Empirical Rule.
(1 point)
Responses
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.
The normal model is a good fit because 85% of the data are less than the value at the +1σ
point, and the model predicts 68%.
The normal model is a good fit because 85% of the data are less than the value at the plus 1 sigma point, and the model predicts 68%.
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.
The normal model is a good fit because 85% of the data are less than the value at the +1σ
point, and the model predicts 84%.
The normal model is a good fit because 85% of the data are less than the value at the plus 1 sigma point, and the model predicts 84%.