domly selectec ollows F-distri

MATLAB: An Introduction with Applications
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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:
P(X<13.1)=0.99
X<7.1
P(X<7.9)
P(X<13.1)=0.99
2. Use the random variable notation to express symbolically each of the following:
X<7.1
P(X<7.9)
P(X<13.1)=0.99
X<7.1
P(X<7.9)
i. less than 7.1:
X- Select an answer ✓ (dfn=
Select an answer
X²
ii. more than 7.9:
✓An event in which the monthly commission (in thousands) of a randomly
selected realtor is less than 7.1.
iv. more than 72.4:
F
3. Use technology to find the probability that the monthly commission (in thousands) of a randomly
selected realtor is:
v. less than 98.3:
The probability of an event in which the monthly commission (in thousands)
of a randomly selected realtor is less than 7.9.
iii. between 0.4 and 8:
,dfd=
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.
4. Find the 11-th percentile:
€11%
(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 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: P(X<13.1)=0.99 X<7.1 P(X<7.9) P(X<13.1)=0.99 2. Use the random variable notation to express symbolically each of the following: X<7.1 P(X<7.9) P(X<13.1)=0.99 X<7.1 P(X<7.9) i. less than 7.1: X- Select an answer ✓ (dfn= Select an answer X² ii. more than 7.9: ✓An event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.1. iv. more than 72.4: F 3. Use technology to find the probability that the monthly commission (in thousands) of a randomly selected realtor is: v. less than 98.3: The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.9. iii. between 0.4 and 8: ,dfd= 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. 4. Find the 11-th percentile: €11% (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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