Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students 0 1 P(x) 0.45 0.02 0.06 X A. -0.93 OB. 0.54 OC. 0.46 OD. 0.53 2 3 4 0.01 2
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students 0 1 P(x) 0.45 0.02 0.06 X A. -0.93 OB. 0.54 OC. 0.46 OD. 0.53 2 3 4 0.01 2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Probability Distribution Problem**
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students is given in the table below.
| x | 0 | 1 | 2 | 3 | 4 |
|-----|------|------|------|------|-----|
| P(x)| 0.45 | 0.02 | 0.06 | 0.01 | ? |
To find the missing probability value for x = 4, ensure that the sum of all probabilities equals 1, since the sum of probabilities in a distribution must always equal 1.
\[ P(0) + P(1) + P(2) + P(3) + P(4) = 1 \]
\[ 0.45 + 0.02 + 0.06 + 0.01 + ? = 1 \]
Solve \[ ? = 1 - (0.45 + 0.02 + 0.06 + 0.01) \]
**Answer Choices:**
A. 0.93
B. 0.54
C. 0.46
D. 0.53
To calculate the missing value, subtract the sum of the given probabilities from 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8da5c625-81d8-4db3-9f61-2b28dd7af5ea%2Faffe78f3-c64b-4aae-b7dc-51737246bd60%2Fh94lys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Problem**
Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students is given in the table below.
| x | 0 | 1 | 2 | 3 | 4 |
|-----|------|------|------|------|-----|
| P(x)| 0.45 | 0.02 | 0.06 | 0.01 | ? |
To find the missing probability value for x = 4, ensure that the sum of all probabilities equals 1, since the sum of probabilities in a distribution must always equal 1.
\[ P(0) + P(1) + P(2) + P(3) + P(4) = 1 \]
\[ 0.45 + 0.02 + 0.06 + 0.01 + ? = 1 \]
Solve \[ ? = 1 - (0.45 + 0.02 + 0.06 + 0.01) \]
**Answer Choices:**
A. 0.93
B. 0.54
C. 0.46
D. 0.53
To calculate the missing value, subtract the sum of the given probabilities from 1.
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