A randomly selected car salesman's annual salary (in thousands) can be estimated by a random variable that follows x² -distribution with 53 degrees of freedom. Let X be the salary of a randomly selected car salesman. 1. Describe the distribution of X: X-Select an answer (df= 2. Use the random variable notation to express symbolically each of the following: 40.9. An event in which the salary of a randomly selected car salesman is less than The probability of an event in which the salary of a randomly selected car salesman is less than 40.9. The probability of an event in which the salary of a randomly selected car salesman is less than 60 is equal to 0.76. 3. Use technology to find the probability that the salary of a randomly selected car salesman is: i. less than 40.9: (round the answer to 2 decimal places) ii. more than 40.9: (round the answer to 2 decimal places) iii. between 49.9 and 57.5: (round the answer to 2 decimal places) iv. more than 153.9: (round the answer to 2 decimal places) v. less than 173.1: (round the answer to 2 decimal places) 4. Find the 29-th percentile: X29% ון (round the answer to 2 decimal places)

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A randomly selected car salesman's annual salary (in thousands) can be estimated by a random variable
that follows x² -distribution with 53 degrees of freedom. Let X be the salary of a randomly selected car
salesman.
1. Describe the distribution of X:
X-Select an answer (df=
2. Use the random variable notation to express symbolically each of the following:
40.9.
An event in which the salary of a randomly selected car salesman is less than
The probability of an event in which the salary of a randomly selected car
salesman is less than 40.9.
The probability of an event in which the salary of a randomly selected car
salesman is less than 60 is equal to 0.76.
3. Use technology to find the probability that the salary of a randomly selected car salesman is:
i. less than 40.9:
(round the answer to 2 decimal places)
ii. more than 40.9:
(round the answer to 2 decimal places)
iii. between 49.9 and 57.5:
(round the answer to 2 decimal places)
iv. more than 153.9:
(round the answer to 2 decimal places)
Transcribed Image Text:A randomly selected car salesman's annual salary (in thousands) can be estimated by a random variable that follows x² -distribution with 53 degrees of freedom. Let X be the salary of a randomly selected car salesman. 1. Describe the distribution of X: X-Select an answer (df= 2. Use the random variable notation to express symbolically each of the following: 40.9. An event in which the salary of a randomly selected car salesman is less than The probability of an event in which the salary of a randomly selected car salesman is less than 40.9. The probability of an event in which the salary of a randomly selected car salesman is less than 60 is equal to 0.76. 3. Use technology to find the probability that the salary of a randomly selected car salesman is: i. less than 40.9: (round the answer to 2 decimal places) ii. more than 40.9: (round the answer to 2 decimal places) iii. between 49.9 and 57.5: (round the answer to 2 decimal places) iv. more than 153.9: (round the answer to 2 decimal places)
v. less than 173.1:
(round the answer to 2 decimal places)
4. Find the 29-th percentile:
X29%
ון
(round the answer to 2 decimal places)
Transcribed Image Text:v. less than 173.1: (round the answer to 2 decimal places) 4. Find the 29-th percentile: X29% ון (round the answer to 2 decimal places)
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