A random variable X is defined as the number of heads observed when a coin is tossed 4 times. The probability distribution for this random variable is shown below. x POO 1 16 16 260 16 1 16 Which of the following statements is not true? The probability of not tossing 2 heads is greater than the probability of tossing 2 heads. The expected value is 16 The probability of no heads is the same as the probability of 4 heads. The most likely outcome is 2 heads.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 distribution for this random variable is shown below.
X
P(X)
0
1
16
4
16
2
6
16
3
4
16
4
1
16
Which of the following statements is not true?
The probability of not tossing 2 heads is greater than the probability of tossing 2
heads,
The probability of no heads is the same as the probability of 4 heads.
The most likely outcome is 2 heads.
The expected value is 16
Transcribed Image Text:A random variable X is defined as the number of heads observed when a coin is tossed 4 times. The probability distribution for this random variable is shown below. X P(X) 0 1 16 4 16 2 6 16 3 4 16 4 1 16 Which of the following statements is not true? The probability of not tossing 2 heads is greater than the probability of tossing 2 heads, The probability of no heads is the same as the probability of 4 heads. The most likely outcome is 2 heads. The expected value is 16
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