6. A sample of 100 customers of Montana Gas and Electric resulted in the followingfrequency distribution of monthly charges.Amount ($)0-4950-99100-149150-199200-249Number124241334265a.Let A be the event that monthly charges are $150 or more. Find P(A).b. Let B be the event that monthly charges are less than $150. Find P(B).

a. The frequency distribution of monthly charges of a sample of 100 customers is given.

Answered: A sample of 100 customers of Montana…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The following table shows the results of a survey of 500 authors by a publishing company. Established Authors New Authors Total 160 340 Total 500 Compute the relative frequency of the given event if an author as specified is chosen at random. A successful author is established. Successful Unsuccessful 35 70 105 125 270 395
8.The data show the daily high temperature in a town every day for a week. Mon Tue Wed Thu Fri Sat Sun 76∘F 78∘F 81∘F 74∘F 69∘F 69∘F 70∘F How can you find the experimental probability that the high temperature on a given day was warmer than 75∘F? Count the number of days with temperatures above 75∘F and divide that number by the number of days in the week. Count the number of days with temperatures below 75∘F and divide that number by .75∘F. Count the number of days with temperatures above 75∘F75∘F and divide that number by 75∘F. Count the number of days with temperatures above 75∘F and divide that number by the number of days with temperatures below 75∘F.
1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
The following table represents the numbers of students in a section of Math 120 with declared or undeclared majors along with their class. What is the probability that a student who is a sophomore has a declared major? Enter your answer in decimal form and round to four decimal places if rounding is necessary.Probability that a student who is a sophomore has a declared major = Freshman (F) Sophomore (H) Junior (J) Total Declared (D) 114 28 4 146 Undeclared (U) 9 7 1 17 Total 123 35 5 163
12. A survey conducted discovered that 63% of all Americans are overweight. Suppose that a number of randomly selected Americans are weighed. The following table may (or may not) be useful: k 0 1 2 3 4 1 4 6 4 1 4Ck (a) Find the probability that the 4th person weighed is the first person to be overweight. (b) Find the probability that it takes less than 4 people to observe the first overweight person. (c) Find the expected value and variance of the number of Americans that would have to be weighed in order to find the first person that was overweight.
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Given P(A) = 0.10, P(B) = 0.63, P(C) = 0.53 and that events A, B, and C are independent, what is P(A, B, and C). Answer in decimal form. Round to 3 decimal places as needed.
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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