6. The time between calls to a plumbing supply business is exponentially distributed with a meantime between calls of 15 minutes.(a) What is the probability that there are no calls within a 30-minute interval?(b) What is the probability that at least one call arrives within a 10-minute interval?(c) What is the probability that the first call arrives within 5 and 10 minutes after opening?(d) Determine the length of an interval of time such that the probability of at least one call in theinterval is 0.90.

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Answered: 6. The time between calls to a plumbing…

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 time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 10 minutes. (a) Find the probability that the time interval between two successive barges is more than 15 minutes. (b) Find a time interval t such that we can be 75% sure that the time interval between two successive barges will be greater than t. Show word count Next
The following are the probability distributions for the cost of textbooks in the fall semester for two different majors. Each probability represents the chance that the total cost of a student's books will be the given amount. Calculate the absolute difference in the expected cost of textbooks for the fall semester for these two majors. Express your answer rounded to two decimal places. Cost of Textbooks (in dollars) for Business Majors X 431.00 510.00 625.00 X Cost of Textbooks (in dollars) for Chemistry Majors 500.00 601.00 P(X = x) 649.00 0.23 0.56 0.21 P(X = x) 0.18 0.52 0.30
Suppose the you have to take a bus to work. The amount of time until the next bus arrives follows an Exponential distribution with mean 7 minutes. (a) What is the probability that the next bus will arrive within 5 minutes? (b) 90% of all buses arrive within how many minutes of the previous bus? (c) Suppose the bus still has not arrived within 9 minutes of the last bus. Knowing that, what is the probability that the next bus will take at least 15 minutes to arrive? (d) Suppose that the amount of time the next bus arrives is independent of each next bus with the same distribution (Exponential with mean 7). What is the probability that the next bus arrives in less time than the next next bus (i.e. a second bus)?
A group of botanists is studying the distribution of carnations in a field. The field is divided into a number of equal sized squares. The mean number of carnations per square is assumed to be 3. The carnations are distributed randomly throughout the field. Find the probability that: (b) (i) there will be more than two carnations. (ii) either five or six carnations.
. The probability that a newborn life (age 0) survives x years is given by: 110 - x xPo 0
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 10 seconds. What is the probability that the arrival time between vehicles is 10 seconds or less? (Round your answer to four decimal places.) (c) What is the probability that the arrival time between vehicles is 4 seconds or less? (Round your answer to four decimal places.) (d) What is the probability of 32 or more seconds between vehicle arrivals? (Round your answer to four decimal places.)
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes. (a) Find the probability that a customer has to wait more than five minutes. (Round your answer to three decimal places.) (b) Find the probability that a customer is served within the first one minutes. (Round your answer to three decimal places.) X (c) The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 2% of her customers. What should the advertisement say? (Give your answer to the nearest integer that satisfies the conditions.) "If you aren't served within minutes, you get a free hamburger."
(first part of question is attached) (e) What is the probability that the sample proportion of students of adults living with parents or other relatives is higher than 0.3? (f) What is the probability that the sample proportion of adults living alone is between 0.1 and 0.15?
The annual rainfall (in inches) in a certain region is normally distributed with mean = 40 and o=4. What is the probability that starting with this year, it will take more than 10 years before a year occurs having a rainfall of more than 50 inches? What assumption are you making?
The graph of the discrete probability to the right represents the number of live births by a mother 49 to 53 years old who had a live birth in 2015. Complete parts (a) through (d) below. 0 1 (a) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? (Type an integer or a decimal.) (b) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? (Type an integer or a decimal.) (c) What is the probability that a randomly selected 49- to 53-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? (Type an integer or a decimal.) Statcrunch no JL @ 1 # с $ % JI JU & 0.30 0.25 0.20 0.15 0.10 0.05- 0.00 U 165 0.112 0.094 Number of Live Births 7 R # 8 A G
Help me with this problem please
Please solve (b) only!

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