Question 4a) For a large group of sale prospects, it has been observed that 22 percent of those contactedpersonally by a sales representative will make a purchase. If a sales representative contacts35 prospects:i) Determine the probability that 10 or more will make a purchase (include alsocorrection of continuity).ii) Determine the probability that not more than 3 will make a purchase (include alsocorrection of continuity).iii) In what condition does binomial distribution approximate to normal distribution?

The objective of this question is to calculate the probabilities of certain outcomes in a binomial…

Answered: Question 4 a) For a large group of sale…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Exercise 7 In a large corporation, people over age thirty have an annual income whose distribution can be approximated by a normal distribution with mean $60,000 and standard deviation $10,000. The incomes of those under age thirty are also approximately normal, but with mean $40,000 and standard deviation $10,000. a) Two people are selected at random from those over age thirty. The chance that the average of their two incomes is over $65, 000 is equal to. 0.1587 b) One person is selected at random from those over thirty, and independently, one person is selected at random from those under thirty. The chance that the younger's income exceeds the older's is equal to 0.1587. c) The chance that the smaller of the two incomes in b) exceeds $50,000 is equal to 0.1335 (rounded).
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 5 inches. What is the probability that an 18-year-old man selected at random is between 65 and 67 inches tall? If a random sample of ten 18-year-old men is selected, what is the probability that the mean height x is between 65 and 67 inches?
ww-awn.connectmath.com/alekscgl/X/ISi.exe/ 1o_u-igNsikr/jorjn-IbS_XZVCaplet Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 43, with a standard deviation of 23. A pollster draws a sample of 91 people to interview. Part 1 of 5 (a) What is the probability that the sample mean income is less than 40? Round the answer to at least four decimal places. The probability that the sample mean income is less than 40 is alo Part 2 of 5 (b) What is the probability that the sample mean income is between 41 and 44? Round the answer to at least four decimal places. The probability that the sample mean income is between 41 and 44 is Submit Assignment O 2020 McGrw-Hi Education. All Rights Reserved. Terms of Use I Privacy Type here to search S K G
If the mean of the random variable with Poisson distribution is 4, which of the following is its standard deviation?
9.An automobile insurer has found that repair claims are Normally distributed with a mean of $530 and a standard deviation of $480. (a) Find the probability that a single claim, chosen at random, will be less than $490. (b) Now suppose that the next 60 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average X¯ of the 60 claims is smaller than $490. (c) If a sample larger than 60 claims is considered, there would be __________ chance of getting a sample with an average smaller then $490. (NOTE: Write ''LESS'', ''MORE'' or ''AN EQUAL''.)
The amount that households pay service providers for access to the Internet varies depending on the speed the household is looking for. It is determined the distribution is slightly skewed right with a mean monthly fee is $38 and a standard deviation of $10. Many households pay about $20 for limited broadband speed or about $40 for faster broadband speed, but some pay much more for lighting fast broadband speeds. a) Can you find the probability of a randomly selected household paying more than $40 for internet? Explain. b) AT&T has just released a new coverage area. AT&T hopes the new coverage area will help them increase their monthly profit by a minimum of $2000. What is the probability that the total amount of profit for 50 randomly selected households exceeds $2000?
3. Replacements times of TV sets are reported to follow a normal distribution having a mean of 8.5 years with standard deviation of 1.2 years. If 25 TV sets are selected, what is the probability that the replacement time is between 8.4 years and 9 years.
Suppose that the distribution of the grades of students in MAPEH performance 1 is roughly normally distributed with a mean of 85 and a standard deviation of 5 a. Between what values do we expect the grades of the middle 68% of the MAPEH students in performance 1 lie? b. Suppose you randomly select 16 MAPEH students, find the probability that the average grades of these students is at least 86. c. A MAPEH student whose grades lies in the upper 1% of the distribution (inclusive of the 1% cutoff) is considered extremely performing in Performance 1. Can you say that Jazzer, a randomly selected student who obtained a grade of 95, is one of those who performed extremely in Performance 1?
Question 4 a) For a large group of sale prospects, it has been observed that 22 percent of those contacted personally by a sales representative will make a purchase. If a sales representative contacts 35 prospects: i) Determine the probability that 10 or more will make a purchase (include also correction of continuity). ii) Determine the probability that not more than 3 will make a purchase (include also correction of continuity). iii) In what condition does binomial distribution approximate to normal distribution?
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 526. What is the probability that a sample of 35 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places: Round your answer to at least three decimal places. Submit Assignment 2021 McGraw Hil LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility US Continue V O 8:19 hp esc 2# 8. 3 4. t 00
The number of goals scored at state college hockey games follows as poisson distribution with a mean of five goals per game. Find the probability that a randomly selected state college hockey game would have more than three goals
Suppose the returns of a particular group of mutual funds are normally distributed with a mean of 9.9% and a standard deviation of 3.7%. If the manager of a particular fund wants his fund to be in the top 10% of funds with the highest return, what return must his fund have?

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