1. The total area under the probability density curve of any continuous distribu
ID: 2934434 • Letter: 1
Question
1. The total area under the probability density curve of any continuous distribution is 1.0. A. TRUE B. FALSE
2. Variable ‘Weight of a randomly selected cat’ is a _________________
A. Continuous random variable
B. Discrete random variable
C. A fixed value
D. None of the above
3. P(Speed of a moving vehicle = 30 miles/hour) = _____________ A. 0.2 B. 0.15 C. 0. D. 1.00
4. X is a continuous random variable. It is _____ that P( -10 < X <20 ) = P( -10 X < 20) = P( -10 < X 20) = P(X 20) – P(X<10).
A. TRUE B. FALSE C. not determined
Explanation / Answer
1. The total area under the probability density curve of any continuous distribution is 1.0.
A. TRUE
2. Variable ‘Weight of a randomly selected cat’ is a _________________
A. Continuous random variable
Since weight can take any values, this is a continuous random variable.
3. P(Speed of a moving vehicle = 30 miles/hour) = 0
Note that speed cannot be an exact value.
4. X is a continuous random variable. It is _____ that P( -10 < X <20 ) = P( -10 X < 20) = P( -10 < X 20) = P(X 20) – P(X<10).
This statement is true and follows from the result of 3.
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