A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variable that follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomly selected realtor. 1. Describe the distribution of X: X-F ✓✓(dfn=14dfd-4 2. Use the random variable notation to express symbolically each of the following: P(X<7.9) The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.9. X<7.1 An event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.1. P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 13.1 is equal to 0.99. 3. Use technology to find the probability that the monthly commission (in thousands) of a randomly selected realtor is:
A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variable that follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomly selected realtor. 1. Describe the distribution of X: X-F ✓✓(dfn=14dfd-4 2. Use the random variable notation to express symbolically each of the following: P(X<7.9) The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.9. X<7.1 An event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.1. P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 13.1 is equal to 0.99. 3. Use technology to find the probability that the monthly commission (in thousands) of a randomly selected realtor is:
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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![Question 30
A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variable
that follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomly
selected realtor.
1. Describe the distribution of X:
(dfn= 14
2. Use the random variable notation to express symbolically each of the following:
The probability of an event in which the monthly commission (in thousands)
of a randomly selected realtor is less than 7.9.
P(X<7.9)
X-F
X<7.1
✓An event in which the monthly commission (in thousands) of a randomly
selected realtor is less than 7.1.
P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands)
of a randomly selected realtor is less than 13.1 is equal to 0.99.
ii. more than 7.9:
3. Use technology to find the probability that the monthly commission (in thousands) of a randomly
selected realtor is:
i. less than 7.1:
iii. between 0.4 and 8:
,dfd-4
iv. more than 72.4:
v. less than 98.3:
4. Find the 11-th percentile:
0.04 x (round the answer to 2 decimal places)
0.97 x (round the answer to 2 decimal places)
0.88 ✓(round the answer to 2 decimal places)
0.00 ✓(round the answer to 2 decimal places)
1.00 ✓(round the answer to 2 decimal places)
11% 3.65
x (round the answer to 2 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4021aba2-e48a-4b96-a3f0-bfe69ed25216%2F3011ce27-08d9-4ebf-88f7-17bd47cb5f32%2Fgs21mgg_processed.png&w=3840&q=75)
Transcribed Image Text:Question 30
A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variable
that follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomly
selected realtor.
1. Describe the distribution of X:
(dfn= 14
2. Use the random variable notation to express symbolically each of the following:
The probability of an event in which the monthly commission (in thousands)
of a randomly selected realtor is less than 7.9.
P(X<7.9)
X-F
X<7.1
✓An event in which the monthly commission (in thousands) of a randomly
selected realtor is less than 7.1.
P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands)
of a randomly selected realtor is less than 13.1 is equal to 0.99.
ii. more than 7.9:
3. Use technology to find the probability that the monthly commission (in thousands) of a randomly
selected realtor is:
i. less than 7.1:
iii. between 0.4 and 8:
,dfd-4
iv. more than 72.4:
v. less than 98.3:
4. Find the 11-th percentile:
0.04 x (round the answer to 2 decimal places)
0.97 x (round the answer to 2 decimal places)
0.88 ✓(round the answer to 2 decimal places)
0.00 ✓(round the answer to 2 decimal places)
1.00 ✓(round the answer to 2 decimal places)
11% 3.65
x (round the answer to 2 decimal places)
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