The distribution of the scores on a certain exam is N(40,10), which means that the exam scores are Normally distributed with a mean of 40 and standard deviation of 10. a. Sketch the curve and label, on the x-axis, the position of the mean, the mean plus or minus one standard deviation, the mean plus or minus two standard deviations, and the mean plus or minus three standard deviations b. Find the probability that a randomly selected score will be less than 30. Shade the region under the Normal curve whose area corresponds to this probability. a. Choose the correct graph below. O A. O B. OC. Q 10 30 35 40 45 50 70 -30 20 0 10 20 40 50 60 7a 10 20 50 60 30 30 40 +20 +30 P 10 +20 +30 -30 -20 +0 +20 +30 -30 -20 b. What is the probability that a randomly selected score will be less than 30? Using the Empirical Rule, the probability that a randomly selected score will be less than 30 is about %. (Type an integer or a decimal.) 허

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The distribution of the scores on a certain exam is N(40,10), which means that the exam scores are Normally distributed with a mean of 40 and standard deviation of 10.
a. Sketch the curve and label, on the x-axis, the position of the mean, the mean plus or minus one standard deviation, the mean plus or minus two standard deviations, and the mean plus or minus three standard deviations.
b. Find the probability that a randomly selected score will be less than 30. Shade the region under the Normal curve whose area corresponds to this probability.
a. Choose the correct graph below.
OA.
В.
Oc.
10 30
35
40 45
50 70
+20 +30
10 20
30
40
50
60 70
10 20
30
50
40
60
+20 +30
-30
-20
-0
+o
-3σ -2σ
+o
+20 +30
-30
-20
-0
+o
b. What is the probability that a randomly selected score will be less than 30?
Using the Empirical Rule, the probability that a randomly selected score will be less than 30 is about
%.
(Type an integer or a decimal.)
Transcribed Image Text:The distribution of the scores on a certain exam is N(40,10), which means that the exam scores are Normally distributed with a mean of 40 and standard deviation of 10. a. Sketch the curve and label, on the x-axis, the position of the mean, the mean plus or minus one standard deviation, the mean plus or minus two standard deviations, and the mean plus or minus three standard deviations. b. Find the probability that a randomly selected score will be less than 30. Shade the region under the Normal curve whose area corresponds to this probability. a. Choose the correct graph below. OA. В. Oc. 10 30 35 40 45 50 70 +20 +30 10 20 30 40 50 60 70 10 20 30 50 40 60 +20 +30 -30 -20 -0 +o -3σ -2σ +o +20 +30 -30 -20 -0 +o b. What is the probability that a randomly selected score will be less than 30? Using the Empirical Rule, the probability that a randomly selected score will be less than 30 is about %. (Type an integer or a decimal.)
Which graph shows the distribution with the region shaded under the Normal curve whose area corresponds to the probability that a randomly selected score is less than 30?
O A.
В.
С.
10
20 30 40 50
35
60 70
+20 +30
10 20
-30 -20
30 40 50
60 70
10 30
40 45 50 70
+0 +20 +30
-30
-20
+o
-0
+o
+20 +30
-За -20
Transcribed Image Text:Which graph shows the distribution with the region shaded under the Normal curve whose area corresponds to the probability that a randomly selected score is less than 30? O A. В. С. 10 20 30 40 50 35 60 70 +20 +30 10 20 -30 -20 30 40 50 60 70 10 30 40 45 50 70 +0 +20 +30 -30 -20 +o -0 +o +20 +30 -За -20
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