/*! 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. 7. Get on the boat! Refer to Exerci... [FREE SOLUTION] | 91影视

91影视

Get on the boat! Refer to Exercise 3. Find the mean of Y. Interpret this value.

Short Answer

Expert verified

=19.35

Step by step solution

01

Step 1. Given information.

Money collected0510152025
Probability 0.020.050.080.160.270.42
02

Step 2. The mean of Y. 

The expected value (or mean) is calculated by multiplying each possibility y by its probability P(Y = y):

=yP(Y=y)=0x0.02+5x0.05+10x0.08+15x0.16+20x0.27+25x0.42=19.35

The average amount of money collected on a random ferry trip is $19.35.

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

10%condition To use a binomial distribution to approximate the count of successes in an SRS, why do we require that the sample size n be less than 10%of the population size N?

Electronic circuit The design of an electronic circuit for a toaster calls for a 100ohm resistor and a 250-ohm resistor connected in series so that their resistances add. The components used are not perfectly uniform, so that the actual resistances vary independently according to Normal distributions. The resistance of 100-ohm resistors has mean 100ohms and standard deviation 2.5ohms, while that of 250-ohm resistors has mean 250 ohms and standard deviation 2.8ohms.

(a) What is the distribution of the total resistance of the two components in series?

(b) What is the probability that the total resistance

Ed and Adelaide attend the same high school but are in different math classes. The time E that it takes Ed to do his math homework follows a Normal distribution with mean 25 minutes and standard deviation 5 minutes. Adelaide's math homework time A follows a Normal distribution with mean 50 minutes and standard deviation 10 minutes. Assume that E and A are independent random variables.

a. Randomly select one math assignment of Ed's and one math assignment of Adelaide's. Let the random variable D be the difference in the amount of time each student spent on their assignments: D=A-E. Find the mean and the standard deviation of D.

b. Find the probability that Ed spent longer on his assignment than Adelaide did on hers.

XA glass act In a process for manufacturing glassware, glass stems are sealed by heating them in a flame. Let X be the temperature (in degrees Celsius) for a randomly chosen glass. The mean and standard deviation of X are X=550Cand X=5.7C.

a. Is tempe谐ature a discrete 芯谐 continuous 谐andom variable? Explain 褍芯u谐 answer.

b. The target temperature is 550C. What are the mean and standard deviation of the number of degrees off target, D=X-550?

c. A manager asks for results in degrees Fahrenheit. The conversion of X into degrees Fahrenheit is given by Y=95X+32Y=95X+32. What are the mean Yand the standard deviation Yof the temperature of the flame in the Fahrenheit scale?

.Essay errors Typographical and spelling errors can be either 鈥渘onword errors鈥 or 鈥渨ord errors.鈥 A nonword error is not a real word, as when 鈥渢he鈥 is typed as 鈥渢eh.鈥 A word error is a real word, but not the right word, as when 鈥渓ose鈥 is typed as 鈥渓oose.鈥 When students are asked to write a 250-word essay (without spell-checking), the number of nonword errors X has the following probability distribution:

Value of X01234
Probability0.10.20.30.30.1

X=2.1X=1.136

Value of Y0123
Probability0.40.30.20.1

Y=1.0Y=1.0

a) Find the mean and standard deviation of the difference Y-Xin the number of errors made by a randomly selected student. Interpret each value in context.

(b) Challenge: Find the probability that a randomly selected student makes more word errors than nonword errors .

See all solutions

Recommended explanations on Math Textbooks

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.