Question 12 The z-scores of the test results of the population of 50 students follow the Z-distribution. Let X be the z- score of a randomly selected student. 1. Describe the distribution of X: - 2. Use the random variable notation to express symbolically each of the following: P(X<-1.1)=0.14 P(X<1.3) X<-1 P(X<-1.1)=0.14 P(X<1.3) X<-1 |- P(X<-1.1)-0.14 P(X<1.3) X<-1 ✓An event in which the z-score of a randomly selected student is less than -1. ii. more than 1.3: X-? ♥ v. less than 10.2: BNUNH ✓ The probability of an event in which the z-score of a randomly selected student is less than -1.1 is equal to 0.14. . Use technology to find the probability that the z-score of a randomly selected student is: i. less than -1: iii. between -0.7 and 0.2: iv. more than 8.5: The probability of an event in which the z-score of a randomly selected student is less than 1.3. -. Find the 25-th percentile: (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)

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Question 12
The z-scores of the test results of the population of 50 students follow the Z-distribution. Let X be the z-
score of a randomly selected student.
1. Describe the distribution of X:
P(X<-1.1)=0.14
P(X<1.3)
X<-1
2. Use the random variable notation to express symbolically each of the following:
P(X<-1.1)-0.14
P(X<1.3)
X<-1
P(X<-1.1)=0.14
P(X<1.3)
X<-1
✓ An event in which the z-score of a randomly selected student is less than -1.
ii. more than 1.3:
✓ The probability of an event in which the z-score of a randomly selected
student is less than -1.1 is equal to 0.14.
X-? ♥
?
3. Use technology to find the probability that the z-score of a randomly selected student is:
i. less than -1:
iii. between -0.7 and 0.2:
iv. more than 8.5:
v. less than 10.2:
BNDZT
The probability of an event in which the z-score of a randomly selected
student is less than 1.3.
4. Find the 25-th percentile:
X 25% =
(round the answer to 2 decimal places)
(round the answer to 2 decimal places)
(round the answer to 2 decimal places)
(round the answer to 2 decimal places)
(round the answer to 2 decimal places)
(round the answer to 2 decimal places)
Transcribed Image Text:Question 12 The z-scores of the test results of the population of 50 students follow the Z-distribution. Let X be the z- score of a randomly selected student. 1. Describe the distribution of X: P(X<-1.1)=0.14 P(X<1.3) X<-1 2. Use the random variable notation to express symbolically each of the following: P(X<-1.1)-0.14 P(X<1.3) X<-1 P(X<-1.1)=0.14 P(X<1.3) X<-1 ✓ An event in which the z-score of a randomly selected student is less than -1. ii. more than 1.3: ✓ The probability of an event in which the z-score of a randomly selected student is less than -1.1 is equal to 0.14. X-? ♥ ? 3. Use technology to find the probability that the z-score of a randomly selected student is: i. less than -1: iii. between -0.7 and 0.2: iv. more than 8.5: v. less than 10.2: BNDZT The probability of an event in which the z-score of a randomly selected student is less than 1.3. 4. Find the 25-th percentile: X 25% = (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)
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