/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q T2.5. The average yearly snowfall in C... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q T2.5. (page 149)

The average yearly snowfall in Chilly Ville is approximately Normally distributed with a mean of 55 inches. If the snowfall in Chilly Ville exceeds 60 inches in 15% of the years, what is the standard deviation?

a. 4.83 inches

b. 5.18 inches

c. 6.04 inches

d. 8.93 inches

e. The standard deviation cannot be computed from the given information.

Short Answer

Expert verified

The correct option is (a) 4.83inches

Step by step solution

01

Given information

渭=55蟽=60

02

Concept

The formula used:

z=x鈭�渭蟽

03

Calculation

The probability of the snowfall X exceeding 60 inches is 15%

P(X>60)=15%=0.15

So the probability that X does not exceed 60 is

P(X鈮�60)=1鈭�P(X>60)=1鈭�0.15=0.85

The column contains the corresponding 100th of thez-score (0.05) and the raw contains the proper integer 10th of thez-score (0.80), therefore the z-score is

Z=1.04

z=x鈭�渭蟽z蟽=x鈭�渭蟽=x鈭�渭z蟽=60鈭�551.04=4.8077

As a result, the standard deviation is 4.8077 inches, which is quite near to 4.83 inches.

Hence, the correct option is (a)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Shoes How many pairs of shoes does a typical teenage boy own? To find out,

two AP庐 Statistics students surveyed a random sample of 20 male students from their large high school. Then they recorded the number of pairs of shoes that each boy owned. Here is a dot-plot of the data:

a. Find the percentile for Jackson, who reported owning 22 pairs of shoes.

b. Raul鈥檚 reported number of pairs of shoes is at the 45th percentile of the distribution. Interpret this value. How many pairs of shoes does Raul own?

IQ test scores Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20to 34age group are approximately Normally distributed with 渭=110and 蟽=25. For each part, follow the fourstep process.

(a) At what percentile is an IQ score of 150?

(b) What percent of people aged 20to 34have IQs between 125and 150?

(c) MENSA is an elite organization that admits as members people who score in the top 2%on IQ tests. What score on the Wechsler Adult Intelligence Scale would an individual have to earn to qualify for MENSA membership?

Potato chips Refer to Exercise 47 Use the 68鈥�95鈥�99.7 rule to answer the

following questions.

a. About what percent of bags weigh less than 9.02 ounces? Show your method clearly.

b. A bag that weighs9.07 ounces is at about what percentile in this distribution? Justify your answer.

Household incomes The cumulative relative frequency graph describes the distribution of median household incomes in the 50 states in a recent year.

a. The median household income in North Dakota that year was $55,766Is North Dakota an unusually wealthy state?

b. Estimate and interpret the 90th percentile of the distribution.

I think I can! An important measure of the performance of a locomotive is its 鈥渁dhesion,鈥� which is the locomotive鈥檚 pulling force as a multiple of its weight. The adhesion of one 4400-horsepower diesel locomotive varies in actual use according to a Normal distribution with mean 渭=0.37and standard deviation .蟽=0.04For each part that follows, sketch and shade an appropriate Normal distribution. Then show your work.

(a) For a certain small train鈥檚 daily route, the locomotive needs to have an adhesion of at least 0.30for the train to arrive at its destination on time. On what proportion of days will this happen? Show your method.

(b) An adhesion greater than 0.50for the locomotive will result in a problem because the train will arrive too early at a switch point along the route. On what proportion of days will this happen? Show your method.

(c) Compare your answers to (a) and (b). Does it make sense to try to make one of these values larger than the other? Why or why not?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.