Understanding Independent Events

Adam investigates whether his mom's mood is affected by rainy days. Over a year, he collects data and finds that her mood and the weather are independent events. The video explains how to calculate probabilities and fill in a frequency table, demonstrating that the probability of his mom being grouchy is consistent regardless of the weather.

What prompted Adam to start his investigation?

• His mom's constant complaints about the weather.

• His brother's comment about their mom's mood.

• A school project on weather patterns.

• His own curiosity about rainy days.

What did Adam discover about his mom's mood and rainy days?

• They are independent events.

• They are directly related.

• They are inversely related.

• They occur simultaneously.

How many days did Adam record data for when it rained?

• 73 days

• 365 days

• 35 days

• 330 days

What is the probability of Adam's mom being grouchy in general?

• 30%

• 20%

• 40%

• 10%

How many times was Adam's mom grouchy on rainy days according to the data?

• 7 times

• 10 times

• 5 times

• 12 times

What is the significance of independent events in this context?

• They occur at the same time.

• They are mutually exclusive.

• One event affects the probability of the other.

• They have no effect on each other's probability.

What is the probability of Adam's mom being grouchy on a non-rainy day?

• 25%

• 10%

• 15%

• 20%

How many days was Adam's mom not grouchy when it didn't rain?

• 330 days

• 292 days

• 264 days

• 365 days

What does the filled table demonstrate about the events?

• They are dependent.

• They are unrelated.

• They are correlated.

• They are independent.

What is the total number of days Adam recorded his mom being grouchy?

• 35 days

• 66 days

• 73 days

• 292 days