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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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