Q3 STATISTICS & PROBABILITY

It refers to a mapping or listing of all values of a random variable to their corresponding probabilities for a given sample space.

• A. Random Distribution

• B. Random Variability

• C. Random Variance

• D. Random Variable

The following are the properties of probability distribution, EXCEPT:

• A. The probability of each value of the random variable must be between or equal to 0 and 1. In symbol, we write it as 0≤P(X)≤1. e

• B. The sum of the probabilities of all values of the random variable must be equal to 1. In symbol, we write it as ΣP(X)=1.

• C. The probability of each value of the random variable must be exactly 0 or 1.

• D. None of the abov

Which of the following value of X will satisfy a discrete probability distribution?

• A. X = 0.81

• B. X = 0.82

• C. X = 0.83

• D. X = 0.84

Which of the following value of X will satisfy a discrete probability distribution?

• A. X = 1/5

• B. X = 1/4

• C. X = 1/3

• D. X = ½

What is the probability of getting no tails when three coins are tossed?

• A. 1/8

• B. 1/16

• C. 1/4

• D. 1/64

When two dice are tossed asynchronously, what is the probability of getting the sum of 6?

• A. 1/9

• B. 1/18

• C. 1/36

• D. 1/72

Find the possible value of random variable of tossing a coin once having a tail.

• A. {0, 1, 2, 3}

• B. {1, 2}

• C. {0, 1, 2}

• D. {0, 1}

A basketball player makes 80 percent of his free throws during the season. What is the probability that he will make exactly 6 of his next 8 free throws?

• A. 0.1468

• B. 0.1678

• C. 0.3355

• D. 0.2936

Which of the following is not a property of the standard normal distribution?

• A. It is symmetric.

• B. It has a mean of 1.

• C. It has a standard deviation of 1.

• D. 95% of the data falls within 2 standard deviations

What does it mean to have a negative z-score?

• A. The score is above the mean.

• B. The score is below the mean.

• C. The score is more than one standard deviation below the mean.

• D. The score is more than one standard deviation above the mean.