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--- | ||
title: LA weather, Part I | ||
topic: Distributions of random variables | ||
author: Larry Gu | ||
source: original | ||
template_version: 1.4 | ||
attribution: openintro-stats | ||
partialCredit: true | ||
singleVariant: false | ||
showCorrectAnswer: false | ||
outcomes: | ||
- 4.1.1.0 | ||
- 4.1.1.1 | ||
difficulty: | ||
- undefined | ||
randomization: | ||
- undefined | ||
taxonomy: | ||
- undefined | ||
span: | ||
- undefined | ||
length: | ||
- undefined | ||
tags: | ||
- LG | ||
assets: null | ||
part1: | ||
type: number-input | ||
pl-customizations: | ||
atol: 0.0001 | ||
rtol: 1.0e-07 | ||
weight: 1 | ||
allow-blank: true | ||
label: $p= $ | ||
part2: | ||
type: number-input | ||
pl-customizations: | ||
atol: 0.1 | ||
rtol: 1.0e-07 | ||
weight: 1 | ||
allow-blank: true | ||
label: $Temperature \le $ | ||
suffix: $^{\circ} F$ | ||
myst: | ||
substitutions: | ||
params_vars_title: LA weather, Part I | ||
params_vars_units: $$^{\circ} F$$ | ||
params_mu: 75 | ||
params_sig: 6 | ||
params_temp: 78 | ||
params_percent: 16 | ||
params_z: 0.5 | ||
params_prob: 0.3085 | ||
params_x: -0.99 | ||
params_temp2: 69.1 | ||
--- | ||
# {{ params_vars_title }} | ||
The average daily high temperature in June in LA is ${{ params_mu }} ^{\circ} F$ with a standard deviation of ${{params_sig}} ^{\circ} F$. Suppose that the temperatures in June closely follow a normal distribution. | ||
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## Part 1 | ||
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What is the probability of observing an $${{params_temp}} ^{\circ} F$$ temperature or higher in LA during a randomly chosen day in June? | ||
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## Part 2 | ||
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How cool are the coldest {{params_percent}}% of the days (days with lowest high temperature) during June in LA? Round to 1 decimal place. | ||
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## Attribution | ||
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Problem is from the [OpenIntro Statistics](https://openintro.org/book/os/) textbook, licensed under the [CC-BY 4.0 license](https://creativecommons.org/licenses/by/4.0/).<br>![Image representing the Creative Commons 4.0 BY license.](https://raw.githubusercontent.com/firasm/bits/master/by.png) |