A random variable X is defined as the number of heads observed when a coin is tossed 4 times. The probability dis- tribution for this random variable is shownbelow. X 1 33 4 P(X) 1 4 6. 4 1 16 16 16 16 16 Which of the following statements is not true? a) The probability of no heads is the same as the probability of 4 heads b) The most likely outcome is 2 heads c) The expected value is 6/16 d) The probability of not tossing 2 heads is greater than the probability of tossing 2 heads

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ISBN:9780470458365
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2. A random variable X is defined as the number of heads observed when a coin is tossed 4 times. The probability dis-
tribution for this random variable is shown below.
1
2
33
4
P(X)
1
4
6
4
1
16
16
16
16
16
Which of the following statements is not true?
a) The probability of no heads is the same as the probability of 4 heads
b) The most likely outcome is 2 heads
c) The expected value is 6/16
d) The probability of not tossing 2 heads is greater than the probability of tossing 2 heads
Transcribed Image Text:2. A random variable X is defined as the number of heads observed when a coin is tossed 4 times. The probability dis- tribution for this random variable is shown below. 1 2 33 4 P(X) 1 4 6 4 1 16 16 16 16 16 Which of the following statements is not true? a) The probability of no heads is the same as the probability of 4 heads b) The most likely outcome is 2 heads c) The expected value is 6/16 d) The probability of not tossing 2 heads is greater than the probability of tossing 2 heads
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