ich of the following random variable would you expect to be discrete? A. The weights of mechanically produced items B. The number of children at a Christmas party C. The times, in seconds, for a 100m sprint D. The lifetimes of resistors
ich of the following random variable would you expect to be discrete? A. The weights of mechanically produced items B. The number of children at a Christmas party C. The times, in seconds, for a 100m sprint D. The lifetimes of resistors
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![Which of the following random variable would you expect to be discrete?
A. The weights of mechanically produced items
B. The number of children at a Christmas party
C. The times, in seconds, for a 100m sprint
D. The lifetimes of resistors
2. X is a random variable, with mean u and standard deviation D.
(X – µ)/o. What are the mean and standard deviation, respectively of z?
A. 0, 1
The standardized form of X is z =
В. 1, 0
С. 2, 0
3. A distribution of data has a mean of 15 and a standard deviation of 2. How many standard deviations away
D. 2, 1
from the mean is a value of 13?
A. One standard deviation above the mean
B. Two standard deviation above the mean
C. One standard deviation beloww the mean
D. Two standard deviation below the mean
4. The average waist size for teenage males is 29 inches with the standard deviation of 2 inches. What is the z-
score of a teenage male with a 33 inches' waist size?
A. -2
В. -1
C. 1
D. 2
5. If 99.7% of the teenage males in #4 will be considered, what are the limits of their waist size?
A. 23 - 33 in
В. 23 — 35 in
C. 24 - 34 in
D. 25 – 35 in
6. What is the area that corresponds to z-value, = 1.21?
A. 0.34375
B. 0.36650
C. 0.38686
D. 0.40320
7. What is the area that corresponds to z-value, =- 0.91?
A. 0.31859
B. 0.34375
C. 0.36650
D. 0.40320
8. If the area under the normal distribution is 0.44179 what z-value correspond to it?
В. -1.47
A. -1.57
С. 1.56
D. 1.58
9. What is the area under the standard normal curve to the right of =- 2.67?
Α. 0.0038
B. 0.0869
C. 0.1234
D. 0.9962
10.For the standard normal distribution, what is the area between =-0.94 and = 0.94?
D. 0.8264
B. 0.3264
C. 0.6528
A. 0.1736
11.What value of z has an area of 0.20 to the left of z?
В. -0.84
C. 0.84
D. 2.05
A. -2.05
12.The distribution of heights of SHS male students is approximately normal with mean 65 inches and
deviation 2 inches. What percentage of male students are taller than 69 inches?
C. 5%
D. 16%
А. 1%
В. 2.3%
13. The shelf life of a particular dairy products is normally distributed with a mean of 12 days and a s
deviation of 3 days. About what percent of the products will last between 12 and 15 days?
A. 2.5%
C. 34%
D. 68%
В. 16%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11173528-2e1d-48aa-a617-bc61e7599beb%2F81a16f14-0d87-4681-a837-d89d4cfe3a66%2F5mx9dxe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following random variable would you expect to be discrete?
A. The weights of mechanically produced items
B. The number of children at a Christmas party
C. The times, in seconds, for a 100m sprint
D. The lifetimes of resistors
2. X is a random variable, with mean u and standard deviation D.
(X – µ)/o. What are the mean and standard deviation, respectively of z?
A. 0, 1
The standardized form of X is z =
В. 1, 0
С. 2, 0
3. A distribution of data has a mean of 15 and a standard deviation of 2. How many standard deviations away
D. 2, 1
from the mean is a value of 13?
A. One standard deviation above the mean
B. Two standard deviation above the mean
C. One standard deviation beloww the mean
D. Two standard deviation below the mean
4. The average waist size for teenage males is 29 inches with the standard deviation of 2 inches. What is the z-
score of a teenage male with a 33 inches' waist size?
A. -2
В. -1
C. 1
D. 2
5. If 99.7% of the teenage males in #4 will be considered, what are the limits of their waist size?
A. 23 - 33 in
В. 23 — 35 in
C. 24 - 34 in
D. 25 – 35 in
6. What is the area that corresponds to z-value, = 1.21?
A. 0.34375
B. 0.36650
C. 0.38686
D. 0.40320
7. What is the area that corresponds to z-value, =- 0.91?
A. 0.31859
B. 0.34375
C. 0.36650
D. 0.40320
8. If the area under the normal distribution is 0.44179 what z-value correspond to it?
В. -1.47
A. -1.57
С. 1.56
D. 1.58
9. What is the area under the standard normal curve to the right of =- 2.67?
Α. 0.0038
B. 0.0869
C. 0.1234
D. 0.9962
10.For the standard normal distribution, what is the area between =-0.94 and = 0.94?
D. 0.8264
B. 0.3264
C. 0.6528
A. 0.1736
11.What value of z has an area of 0.20 to the left of z?
В. -0.84
C. 0.84
D. 2.05
A. -2.05
12.The distribution of heights of SHS male students is approximately normal with mean 65 inches and
deviation 2 inches. What percentage of male students are taller than 69 inches?
C. 5%
D. 16%
А. 1%
В. 2.3%
13. The shelf life of a particular dairy products is normally distributed with a mean of 12 days and a s
deviation of 3 days. About what percent of the products will last between 12 and 15 days?
A. 2.5%
C. 34%
D. 68%
В. 16%
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