Determine which of the following are characteristics of a normal curve. 1. The mode and median occur at u. II. The curve is symmetric about the vertical axis through the mean µ. III. The normal curve is asymptotic to the vertical axis on both sides. IV. The total area under the curve and above the vertical axis is equal to 1. V. The probability that the normal random variable is equal to a specific discrete value is always zero, since the normal random variable is continuous. VI. The probability that the normal random variable is between two values is given by the area under the curve between the two given values and the vertical axis. O I, II, IV O III, IV, VI O I, II, V II, III, IV

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Determine which of the following are characteristics of a normal curve.
Determine which of the following are characteristics of a normal curve.
1. The mode and median occur at u.
II. The curve is symmetric about the vertical axis through the mean u.
III. The normal curve is asymptotic to the vertical axis on both sides.
IV. The total area under the curve and above the vertical axis is equal to 1.
V.
The probability that the normal random variable is equal to a specific discrete
value is always zero, since the normal random variable is continuous.
VI.
The probability that the normal random variable is between two values is given by
the area under the curve between the two given values and the vertical axis.
O I, II, IV
O III, IV, VI
I, II, V
O II, III, IV
Transcribed Image Text:Determine which of the following are characteristics of a normal curve. 1. The mode and median occur at u. II. The curve is symmetric about the vertical axis through the mean u. III. The normal curve is asymptotic to the vertical axis on both sides. IV. The total area under the curve and above the vertical axis is equal to 1. V. The probability that the normal random variable is equal to a specific discrete value is always zero, since the normal random variable is continuous. VI. The probability that the normal random variable is between two values is given by the area under the curve between the two given values and the vertical axis. O I, II, IV O III, IV, VI I, II, V O II, III, IV
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