A department store receives an average of 5 returned items per day. The probability that a returned item has anavailable replacement is 0.65. [Hint: there are two separate distributions here.]a. Calculate the probability that there are more than 5 returned items in a certain day.b. Calculate the probability that there are 4 returned items in a certain day.c. Calculate the probability that there are 4 returned items and at least three have available replacementsin a certain day.d. Calculate the probability that there are 4 returned items and none has available replacements in acertain day.e. Calculate the variance and the mean of the returned items.1. Calculate the variance and the mean of the replaced items.

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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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Find the mean of the given probability distribution. A police department reports that the probabilities that 0,1,2 and 3 burglaries will be reported in a given day are 0.48,0.41,0.10,and 0.01 respectively.
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A survey conducted on students of XYZ University reported the number of male and female students and their majors. The data obtained are given in the following table. Science Politics Total Men 109 13 122 Women 10 23 33 Total 119 36 155 a. What is the probability that a student majors in Science?b. What is the probability that a student majoring in Science of or being a male?c. What is the probability that a student majoring in Sciences and is given that he is a man?
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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.…
Suppose that a screening test diagnoses 97% of sick people positive and 95% of healthy people negative. Assume that 7% of those screened are sick. If a screened person is chosen at random, then the probability of having a positive diagnosis is: O a. 0.0184 O b. 0.886 Oc. 0.406 O d. 0.594 O e. 0.114 Next p vity Jump to.. 2021
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Pet owners often have more than one type of pet. A recent survey shows that 70% own a dog, 44% own a cat, and 30% own both a dog and cat. Suppose a person is randomly selected. Determine the probability this person 1. has a dog or a cat or both. 2. does not have a dog nor a cat. 3. only has a dog. 4. Given the person has a dog, what is the probability that this person has a cat?
A laptop producer has been getting complaints on the batteries they install. Particularly, the customers complain about an overheating problem. A quality control specialist is investigating the issue and unknown to her, there are 10 overheating batteries in the batch of 30 that she is sampling from. If she randomly samples 6 batteries, what is the standard deviation of the number of overheating batteries she can encounter? O A. 1.155 O B. 1.333 O C. 1.050 O D. 1.103
small hotel in a popular resort area has 20 rooms. The hotel manager estimates that 17% of all confirmed reservations are "no-shows." Consequently, the hotel accepts confirmed reservations for as many as 25 rooms. If more confirmed reservations arrive than there arerooms, the overbooked guests are sent to another hotel and given a complementary dinner. Complete parts a through c below assuming that the hotel currently has 25 confirmed reservations. a. Find the probability that no customers will be sent to another hotel. b. Find the probability that exactly 1 guest will be sent to another hotel. c.Find the probability that 2 or more guests will be sent to another hotel.

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