1. A random variable X is defined as the number of heads observed when a coin is tossed 3 times. The probability distribution for this random variable is shown below. X P(X) 0 Which of the following statements is not true? 1 38 3 2 33 8 a. The probability of no heads is the same as the probability of 3 heads b. The most likely outcome is 2 heads c. The expected value is 1.5 d. The probability of not tossing 2 heads is greater than the probability of tossing 2 heads 2. The following table is a valid probability distribution for a random variable X. What must be the value for P(2) to complete the table? a. 0.15 b. 0.2 c. 0.25 d. 0.3 X P(X) 0 0.15 1 0.25 2 3 0.4 3. In the following expression, which value represents the number of trials: (3) (0.8)³ (0.2)² a. 2 c. 3 b. 5 d. 0.8 1
1. A random variable X is defined as the number of heads observed when a coin is tossed 3 times. The probability distribution for this random variable is shown below. X P(X) 0 Which of the following statements is not true? 1 38 3 2 33 8 a. The probability of no heads is the same as the probability of 3 heads b. The most likely outcome is 2 heads c. The expected value is 1.5 d. The probability of not tossing 2 heads is greater than the probability of tossing 2 heads 2. The following table is a valid probability distribution for a random variable X. What must be the value for P(2) to complete the table? a. 0.15 b. 0.2 c. 0.25 d. 0.3 X P(X) 0 0.15 1 0.25 2 3 0.4 3. In the following expression, which value represents the number of trials: (3) (0.8)³ (0.2)² a. 2 c. 3 b. 5 d. 0.8 1
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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Transcribed Image Text:1. A random variable X is defined as the number of heads observed when a coin is tossed 3 times. The
probability distribution for this random variable is shown below.
X
P(X)
0
Which of the following statements is not true?
1
38
3
2
33
8
a. The probability of no heads is the same as the probability of 3 heads
b. The most likely outcome is 2 heads
c. The expected value is 1.5
d. The probability of not tossing 2 heads is greater than the probability of tossing 2 heads
2. The following table is a valid probability distribution for a random variable X. What must be the value for
P(2) to complete the table?
a. 0.15
b. 0.2
c. 0.25
d. 0.3
X
P(X)
0
0.15
1
0.25
2
3
0.4
3. In the following expression, which value represents the number of trials: (3) (0.8)³ (0.2)²
a. 2
c. 3
b. 5
d. 0.8
1
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