Question

a. If the probability that you will pass the next exam in statistics is accurately assessed at 0.75 what is the probability that you will not pass the next statistics exam? b. The weather forecaster predicts that there is $\mathrm{a}^{*} 70$ percent" chance of less than 1 inch of rain during the next 30 -day period. What is the probability of at least 1 inch of rain in the next 30 days?

Name: Problem 60, Chapter 4: Elementary Statistics
Uploaded: 2020-05-23T12:29:27-08:00
Duration: 1 min 56 s
Channel: Sophie Knight
Description: a. If the probability that you will pass the next exam in statistics is accurately assessed at 0.75 what is the probability that you will not pass the next statistics exam? b. The weather forecaster predicts that there is a^* 70 percent" chance of less than 1 inch of rain during the next 30 -day period. What is the probability of at least 1 inch of rain in the next 30 days?

   a. If the probability that you will pass the next exam in statistics is accurately assessed at 0.75 what is the probability that you will not pass the next statistics exam?
b. The weather forecaster predicts that there is $\mathrm{a}^{*} 70$ percent" chance of less than 1 inch of rain during the next 30 -day period. What is the probability of at least 1 inch of rain in the next 30 days?

Elementary Statistics

Robert Johnson,… 11th Edition

Chapter 4, Problem 60

Instant Answer

Solved by Expert Sophie Knight

05/23/2020

Step 1

This means that the sum of the probabilities of these two events is equal to 1. Mathematically, this can be represented as: \[P(A) + P(A') = 1\] where $P(A)$ is the probability of event A happening and $P(A')$ is the probability of event A not happening. Show more…

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a. If the probability that you will pass the next exam in statistics is accurately assessed at 0.75 what is the probability that you will not pass the next statistics exam? b. The weather forecaster predicts that there is $\mathrm{a}^{*} 70$ percent" chance of less than 1 inch of rain during the next 30 -day period. What is the probability of at least 1 inch of rain in the next 30 days?

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Key Concepts

Complement Rule

The complement rule in probability states that the probability of an event not occurring is equal to one minus the probability of the event occurring. This concept is essential when calculating the likelihood of the opposite of a given outcome, especially when the probability of the desired event is known.

Basic Probability

Basic probability involves understanding how to quantify uncertainty by assigning numbers between 0 and 1 to different outcomes. This concept forms the foundation for solving various problems in probability, including those that require determining the likelihood of complementary events.

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