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firasm committed Aug 13, 2023
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54 changes: 0 additions & 54 deletions content/public/unsorted/q0405/q0405.md

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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.

## Part 1

What is the probability of observing an $${{params_temp}} ^{\circ} F$$ temperature or higher in LA during a randomly chosen day in June?

## Part 2

How cool are the coldest {{params_percent}}% of the days (days with lowest high temperature) during June in LA? Round to 1 decimal place.

## Attribution

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)

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