MDM4U Grade 12 Data Management: Probability Distributions

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8 Questions

What is the range of movie lengths in the scenario described in question 1?

80 minutes to 125 minutes

What is the probability that a randomly selected movie will run for less than 95 minutes?

$rac{15}{45} = rac{1}{3}$

What is the notation used to describe a normal distribution with a mean of 25 and a standard deviation of 2.5?

X ~ N(25, 2.5)

What is the condition for approximating a binomial distribution with a normal distribution?

n × p ≥ 5 and n × (1 - p) ≥ 5

Determine the probability that a student randomly selected from the class will have a test score between 69% and 81%.

Approximately 0.6827 (using the standard normal distribution table)

What is the probability that a student randomly selected from the class will have a test score greater than 88%?

Approximately 0.1587 (using the standard normal distribution table)

What is the shape of the graph for a continuous uniform distribution?

A rectangle

What is the mean of a normal distribution described as X ~ N(25, 2.5)?

25

A formative quiz on continuous probability distributions for Grade 12 Data Management students, covering topics such as graph sketching and probability calculation.

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