6) The lifetime of LED bulbs manufactured by RC Electric is an example of A) Dis
ID: 3065915 • Letter: 6
Question
6) The lifetime of LED bulbs manufactured by RC Electric is an example of
A) Discrete Random variable
B)Continuous Random Variable
7)Suppose that you are playing a certain game where your chance of winning is 1/100. If you win, you will $100,000. However, to play the game , you must pay $1000.00. Your expected net gain then is:
A)$0
B)$990.00
C)-$900.00
D)$900.00
8)Suppose that X is a normal random variable with mean=20 and standard deviation =3. Then P(X>20)is given by:
A) 0
B)0.5
C)1.0
D)20
9)Which of the follwoing is not a property of the continuous random variable:
A) it can take on any value on the real line or an interval thereof.
B)Probabilities for the continuous random variable are described by a density function
C) Probabilities assigned to individual values are positive
10) Suppose that X is a normal variable with mean=20 and standard deviation=3. Then P(X=20) is given by:
A)0
B)0.5
C)1.0
D)20
Explanation / Answer
6) Option-B)Continuous Random Variable
7) expected net gain = (100000 - 1000) * (1/100) - 1000 * (1 - 1/100) = 0
Option-A) 0
8) = 20
= 3
P(X > 20) = P(X < 20) = 0.5. Because, P(X < mean) is always 0.5
Option-B) 0.5
9) Option-C)
10) P(X = 20) = 0. Because probability at a specific point for xontinous distribution is always zero
Option-A) 0
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