Cor10 Stats

Question 1

1. Suppose you toss a fair coin two times; how many possible outcomes
   are there?
   - 4
2. A die is rolled. What is the probability of rolling a number that is greater
   than 6?
   - 0/ 6
3. In a family of three children, what is the probability that the middle
   child is a girl?
   -1/ 2
4. A coin is tossed thrice. What is the probability of having two heads and
   a tail?
   - 3/ 8
5. It is a table showing all the possible value of a discrete random variable
   together with their corresponding probabilities.
   - Discrete Probability Distribution
6. It is a variable that cannot be represented by a whole number.
   -Continuous random variable
7. Y = dropout rate (%) in a certain high school. What are the possible
   values of each random variable?
   Y = {x│0 ≤ x ≤ 100}
8. X = number of heads in tossing a coin thrice. What are the possible
   values of each random variable?
   X = {0, 1, 2, 3}
9. A glass of jar contains 40 red, green, blue, and yellow marbles. The
   probability of drawing a single green marble at random is 1/5. What
   does this mean?
   - There are 8 green marbles in the glass jar.
10. Apple got coins from his pocket which accidentally rolled on the floor.
    If there were 16 probable outcomes, how many coins fell on the floor?
    -4

Answer 1

Mod 1.

Question 2

1. The numerical quantity that is assigned to the outcome of an
   experiment is called ______.
   - random Variable
2. The one that can assume only a countable number of values is known
   as ______.
   -discrete random variable
3. The random variable that can assume an infinite number of values in
   one or more intervals is called ______.
   -continuous random variable
4. The discrete random variable is generated from an experiment in which
   things are counted but not measured.

-False

5. The following statements are examples of discrete random variable,
   except,

-the length of wire ropes
6. The following statements are examples of continuous random variable,
except,

• the number of learners who joined the online class
  7. The correspondence that assigns probabilities to the values of a random
  variable.
• Probability Distribution
  8. It is a graph that displays the possible values of discrete random
  variable on the horizontal axis and the probabilities of those values on
  the vertical axis.
• Probability histogram
  9. It associates to any given number the probability that the random
  variable will be equal to that number.
• Probability Mass Function

10. The set of all possible outcomes of an experiment.
    -Sample space

Answer 2

Mod 2

Question 3

1. What is the shape of a normal curve distribution?
   Bell-shaped
2. What is the total area under the normal curve?
   1
3. What is the area that falls within 2 standard deviations from the mean?
   0.95
4. Which of the following is TRUE about the characteristics of a normal
   curve distribution?
   The total area under the normal curve is 100%.
5. Suppose that the mean is 40 and the standard deviation is 3. Which of
   the following statement is correct?

About 95% of the area under the normal curve is within 34 and
46.

Answer 3

M.3

Question 4

1. Which of the following is TRUE about standard normal distribution?
   𝜇 = 0 𝑎𝑛𝑑 𝜎 = 1
2. It is a procedure when a raw score is converted to a z-score.
   Standardizing a raw score
3. How will you find the area if both z-scores are in the right side of the
   mean?
   Subtract the two areas
4. What is the equivalent z-score of x = 13 if 𝜇 = 10 𝑎𝑛𝑑 𝜎 = 2?
   1.5
5. Suppose that the score in Mathematics exam is normally distributed
   with a mean of 20 and a standard deviation of 4. What percentage
   of the scores fall between 18 and 26?
   62.47%

Answer 4

M.4

Question 5

1. Which of the following refers to a chance sampling method?
   Random sampling
2. What do you call a numerical value calculated by using all the data in a
   population?
   Parameter
3. What refers to a numerical value calculated by using only the data from a sample?
   Statistic
4. What is commonly known as average and could be calculated by adding all values
   in a data and dividing the sum with the number of values?
   Mean
5. What refers to the degree of spread or variability of a data?
   Variance

Answer 5

M.5

Question 6

1. Central Limit Theorem states that as the sample size gets larger, the mean
   of the sampling distribution approaches the __________________.
2. If the problem deals with an individual data from the population, then the
   appropriate formula to find the z-score is _____________________.
3. If the problem deals with the data of the sample means, then the
   appropriate formula to find the z-score is _____________________.
4. If we want to find the probability of 𝑋̅ in a sampling distribution, then we
   will apply the concept of _________________________.
5. In an infinite population, in order to apply the Central Limit Theorem, we
   have to assure that the variable is _____________________.

Answer 6

1. normal
   distribution
2. Z= 𝑋 - M / 𝜎
3. Z= 𝑋 - M /𝜎/ 𝑛√
   4.area under the
   normal curve
   5.normally
   distributed