1. The height in meters that a pole vaulter can clear in his final attempt is an example of C. Discrete Random Variable A. Probability Distribution B. Continuous Random Variable D. Probability Mass Function 2. Which of the following is a probability distribution? A. x |5 10 15 20 P(x) 0.5 0.3 0.4 -0.2 C. x| 1 2 3 P(x) 2/5 1/5 6/5 3/5 4 B. x 10 100 1000 10000 P(x)|0.21 0.13 0.56 0.01 D. x|0 2 4 6 P(x)|1/2 1/8 1/4 1/8 3. Five balls numbered 0, 2, 4, 6, and 8 are placed in a bag. After the balls are mixed, one is selected, its number is noted, and then it is replaced. If this experiment is repeated many times, what is the variance? The probability distribution is provided below. number on ball, X| 0 2 4 6 S P(x) |1/5 1/5 1/5 1/5 1/5 А. 2 В. 4 C.6 D. 8 4. Find the mean of the number of spots that appear when a die is tossed A. 2 В. 2.5 C. 3 D. 3.5 For numbers 5 to 7, At a convenience store, the number of visitors per hour is distributed as shown. x | 8 9 10 11 12 P(x) 0.15 0.25 0.29 0.19 0.12 5. Find the mean. A. 9.88 В. 10.82 C. 8.24 D. 10.56 6. Determine the variance. A. 2.35 В. 1.51 C. 3.08 D. 2.91
1. The height in meters that a pole vaulter can clear in his final attempt is an example of C. Discrete Random Variable A. Probability Distribution B. Continuous Random Variable D. Probability Mass Function 2. Which of the following is a probability distribution? A. x |5 10 15 20 P(x) 0.5 0.3 0.4 -0.2 C. x| 1 2 3 P(x) 2/5 1/5 6/5 3/5 4 B. x 10 100 1000 10000 P(x)|0.21 0.13 0.56 0.01 D. x|0 2 4 6 P(x)|1/2 1/8 1/4 1/8 3. Five balls numbered 0, 2, 4, 6, and 8 are placed in a bag. After the balls are mixed, one is selected, its number is noted, and then it is replaced. If this experiment is repeated many times, what is the variance? The probability distribution is provided below. number on ball, X| 0 2 4 6 S P(x) |1/5 1/5 1/5 1/5 1/5 А. 2 В. 4 C.6 D. 8 4. Find the mean of the number of spots that appear when a die is tossed A. 2 В. 2.5 C. 3 D. 3.5 For numbers 5 to 7, At a convenience store, the number of visitors per hour is distributed as shown. x | 8 9 10 11 12 P(x) 0.15 0.25 0.29 0.19 0.12 5. Find the mean. A. 9.88 В. 10.82 C. 8.24 D. 10.56 6. Determine the variance. A. 2.35 В. 1.51 C. 3.08 D. 2.91
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
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The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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answer numbers 1,2,3,4,5,6,7,8,9 write the correct letter for each number answer it all
Transcribed Image Text:1. The height in meters that a pole vaulter can clear in his final attempt is an example of
C. Discrete Random Variable
A. Probability Distribution
B. Continuous Random Variable
D. Probability Mass Function
2. Which of the following is a probability distribution?
A. x |5 10 15 20
P(x) 0.5 0.3 0.4 -0.2
C. x| 1 2 3
P(x) 2/5 1/5 6/5 3/5
4
B. x 10 100 1000 10000
P(x)|0.21 0.13 0.56 0.01
D. x|0 2 4 6
P(x)|1/2 1/8 1/4 1/8
3. Five balls numbered 0, 2, 4, 6, and 8 are placed in a bag. After the balls are mixed, one is selected, its
number is noted, and then it is replaced. If this experiment is repeated many times, what is the
variance? The probability distribution is provided below.
number on ball, X| 0 2 4 6 S
P(x)
|1/5 1/5 1/5 1/5 1/5
А. 2
В. 4
C.6
D. 8
4. Find the mean of the number of spots that appear when a die is tossed
A. 2
В. 2.5
C. 3
D. 3.5
For numbers 5 to 7,
At a convenience store, the number of visitors per hour is distributed as shown.
x | 8 9 10 11 12
P(x) 0.15 0.25 0.29 0.19 0.12
5. Find the mean.
A. 9.88
В. 10.82
C. 8.24
D. 10.56
6. Determine the variance.
A. 2.35
В. 1.51
C. 3.08
D. 2.91
Transcribed Image Text:7. Solve for the standard deviation.
A. 1.53
B. 1.23
C. 1.75
D. 1.71
For numbers 8-9,
The IQ scores of a large group of students are approximately normally distributed with a mean of 100
and a standard deviation of 15.
8. When a random chosen student from this group will have an IQ score whose corresponding z-score is
negative; what is expected with IQ score of the chosen student?
C. It is equal to the mean of 100.
D. It is not equal to the mean of 100.
A. It is higher than the mean of 100.
B. It is lower than the mean of 100.
9. The z-score of a random variable of a given distribution that is assumed to be normally distributed is
1.38. Which of the following is true?
I. The random variable corresponding to the given z-score is greater than the mean.
II. The random variable corresponding to the given z-score is 1.38 units away from the mean.
III. The probability of the random variable is 41.62%.
A. I only
B. II only
C.I and II
D. I, II, and III
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