Probability Distribution

Which one of the following is a discrete random variable?

• Sam's height

• Sam weight

• Time Sam's runs the 110 m hurdles

• Amount of Sam's brothers and sisters

Explain the concept of probability mass function (PMF) in probability distribution.

• The PMF gives the probability that a continuous random variable is equal to a specific value.

• The PMF gives the probability that an event will occur in a continuous distribution.

• The PMF gives the probability that a random variable will take on a value within a specific range.

• The PMF gives the probability that a discrete random variable is equal to a specific value.

Define the term 'expected value' in the context of probability distribution.

• The expected value is the highest possible outcome of the variable

• The expected value is the long-term average value of the variable after many repetitions of the experiment.

• The expected value is the most common outcome of the variable

• The expected value is the lowest possible outcome of the variable

What is the difference between discrete and continuous probability distributions?

• Discrete probability distributions are used for continuous outcomes, while continuous probability distributions are used for countable outcomes.

• Discrete probability distributions are used for uncountable outcomes, while continuous probability distributions are used for countable outcomes.

• Discrete probability distributions are used for uncountable outcomes, while continuous probability distributions are used for continuous outcomes.

• Discrete probability distributions are used for countable outcomes, while continuous probability distributions are used for uncountable outcomes.

What is the main difference between a probability distribution function and a cumulative distribution function?

• The cumulative distribution function gives the probability of the random variable being greater than or equal to a specific value

• The probability distribution function gives the probability of a random variable being greater than a specific value

• The probability distribution function gives the probability of a random variable taking on a specific value, while the cumulative distribution function gives the probability of the random variable being less than or equal to a specific value.

• The probability distribution function gives the probability of a random variable being less than or equal to a specific value

What is the formula for calculating the mean of a probability distribution?

• Value multiplied by probability

• Sum of (value * probability)

• Sum of (value + probability)

• Sum of (value / probability)

What is the role of standard deviation in probability distribution?

• It determines the mean of the values

• It measures the median of the values

• It has no role in probability distribution

• It measures the amount of variation or dispersion of a set of values.

The table shows the probability distribution for the number of pets in a household. Find the mean.

• 1.50

• 1.75

• 1.80

• 2.00