Problem 1. A certain disease has a prevalence of one in every 100 individuals in th population. A test for this disease has a false positive rate of 10% and a false negativ rate of 3%. The rate of false positives and false negatives depends only on whether or no the tested individual has the disease. What is the probability that an individual who test positive twice for the disease has the disease? What is the probability that an individu: who tests negative twice for the disease has the disease?

Q: Problem 2: Twenty percent of women in a community is diabetic. Of these, 75% have low bone mineral…

A: To find: What is the probability that a randomly selected low BMD woman who has diabetes?

Q: Problem#5: A 911 operator receives, on average, 4 calls in every 3 hours. (a) Find the probability…

A: Solution-: We find, (a) P[Receiving no calls in  the next hour]=?               (b) P[At most 2…

Q: Problem 1.8 Lord Vile drinks his whisky randomly, and the probability that, on a given day, he has n…

A: As given let us consider           P(dead/strangle)=3r          P(dead/poison)=r and…

Q: Problem#4: A maintenance firm has gathered the following information regarding the failure…

A: Introduction: The row and column totals are obtained first in order to proceed with the…

Q: PROBLEM 3 Patients arriving at an outpatient clinic are routinely screened for high blood pressure.…

A: Let there is a sequence of trials, each having two outcomes, say Success and Failure, trials being…

Q: Problem 1 A particular language certificate is earned after taking three annual exams (type I, II,…

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Q: Problem B1. You toss a fair six sided die until you toss a 2. What is the probability that you toss…

A: As per given by the question, find the probability that you toss the die exactly 3 times given that…

Q: Problem B5. How many times must you toss a coin so that you are at least 99% certain to have…

A: Given Data: ME=0.02 p=0.5   z-value corresponding to 99% Confidence level=2.576

Q: Problem 8. Suppose that you have a revolver that holds up to five bullets. Suppose that exactly one…

A: Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get…

Q: Problem 7 A food company divides its delivery territory in three categories: local, neighboring and…

A: Let L be the event representing the delivery to Local territory. Let N be the event representing the…

Q: Problem 5. A radioactive substance has a half life of 20 hours. One atom of this substanc is held in…

A: NNo=12tT=12420=0.87055 b) The probability that none of the 100 atoms will decay within 1 hour=…

Q: Problem 1.4 Mary tosses n+1 coins and John tosses n coins. What is the probability that Mary gets…

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Q: Problem#2: Suppose a car is licensed in a state that issues license plates that consist of three…

A: Available digits = 10   (0 to 9) Available letters = 26  (A to Z) The 6 digit plate:  10 digits…

Q: Problem 1 In late September 2021, there are about two thousand new (reported) covid cases daily in…

A: Solution

Q: Problem 6 The general manager, marketing director, and 3 other employees of Company A are hosting a…

A: We have, Total number of people = 8 people Thus, these 8 people can be arranged in 8! Ways = 40320…

Q: Problem No.9 A class in Engineering Data Analysis for CE is composed of 10 juniors, 30 seniors, and…

A: Solution

Q: Problem 2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but…

A: The percentage of shaft produced is 10%. Number of samples of shaft is 200.

Q: Problem 19: A manufacturer of airplane parts knows from past experience that the probability is 0.80…

A: GIVEN: P(order will be ready for shipment on time)=0.80 P(order will be ready for shipment on time…

Q: Problem 10. If you throw a die three times, what is the probability that you throw an odd number all…

A: Given data :  Total number of throws of a die = 3  Total number in a die = 6  Number of odd number…

Q: Problem 8. Suppose that you have a revolver that holds up to five bullets. Suppose that exactly one…

A: GivenThe number of bullets a revolver can hold =5The number of bullets loaded in revolver =1 The…

Q: Problem 3. Suppose that you toss a fair coin 10,000 times. Estimate the probability that the coin…

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Q: Problem 2. Suppose a disease, Kermyfrogulosis, occurs in 1 out of every 100 people. If you have this…

A: A disease, Kermyfrogulosis, occurs in 1 out of every 100 people. If you have this disease and it…

Q: Question 5 47% of the mouse population in a laboratory has a tumor. Among those without a tumor, 30%…

A: For the given data Find P ( tumor/signs of nervous ) = ?

Q: Problem# 4: Concentric circles of radius 1 and 3 inches are drawn on a circular target of radius 5…

A: In this problem probability is given as = 4  We know that it can't be 4  Maximum probability can be…

Q: A national chain of hotels has established the policy to allow more bookings than they have rooms as…

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Q: In a population Ω, two diseases D1 and D2 are present in 10% and 20% respectively. It is assumed…

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Q: Could you do Problem 11, questions d and e?

A: Note:Thank you for the question. As your question has more than 3 parts, according to our policy, we…

Q: Problem A4. To say that a 5 sided die fairly lands on 1 means that the probability that it lands on…

A: GivenThe number of times dice land on 1 The total number of tosses The proportion of toss which…

Q: Problem 6) One percent of all individuals in a certain population are carriers of a particular…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: QUESTION 1 Weather records indicate that the probability a particular day is wet is . Kedah FC is a…

A: We have to determine if winning and wet days are independent.

Q: A newly developed medical procedure to prevent death in women who give birth and experience…

A: The total number of women is 6. The success rate is 0.975. The random variable X denote number of…

Q: A biased coin has a probability of 1/4 of landing on heads when tossed. What is the expected number…

A: Given data: Probability of the event=1/4

Q: Problem 2: Urn A contains 10 balls numbered 1-10. Urn B contains 1000 balls numbered 1-1000. Your…

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Q: Problem 1. Suppose that an employee will make a transition to one of three possible next states,…

A: Given the transition rates as  Quit rate=0.5 per year Promoted rate=0.8 per year Laid off rate=0.2…

Q: Mendelev Company is a small producer of several coffee products. One of the products is Kapeng…

A: Given, The probability that the demand will be six boxes is 0.1, for seven boxes is 0.3, for 8 boxes…

Q: Problem 1) A series of 20 jobs arrive at a computing center with 50 processors. Assume that each of…

A: Given, A series of 20 jobs arrive at a computing center with 50 processors. Assume that each of the…

Q: Problem 1l. It 20% of the items taken from the end of a production run are defective, and if the…

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Q: find the probability that among six random babies born in California, there are at least three…

A: There are totally 509,973 babies born in California, in which 248,878 girls born. The probability of…

Q: Problem #23: Suppose that exactly half the households in a city whose population is 5 million prefer…

A: we have to find given probability...

Q: Problem 2. Imagine that 60 passengers on a cruise ship might be carrying a rare virus, and…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Problem 3. A 10-sided die is rolled until a five turns up. Given that neither of the first two rolls…

A: Probability is an event that deals with the occurrence of random events. The probability of an event…

Q: Problem #3: A high-risk group of 732 male volunteers was included in a major clinical trial for…

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Q: Problem No. 2 Statement of the Problem: Julia has a bag with 10 pink hankies and 8 white hankies.…

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Q: Problem 1 Suppose Mike is playing a game. He first rolls a fair four-sided die. Then, he picks balls…

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Q: Problem 5. Suppose that you toss a coin 20,000 times. The coin lands on heads 5,000 times. How small…

A: 5. It was stated that I toss a coin 20,000 times.  The coins lands on head 5,000 times. The level…

Q: Problem 5 A box contains 8 coins, 2 of which are counterfeit. Coins are removed from the box, one at…

A: a)GivenThe number of coins in box =8The number of counterfeit coins in box =2The number of fair…

Q: Question 3: Let assume that Covid-19 Virus has infected 15 Percent of people and assume that 20…

A: given;P(covid 19 virus has infected people)=15%=0.15P(infected people are young)=20%=0.20P(society…

Q: Problem 5 In my town, it's rainy one third of the days. Given that it is rainy, there will be heavy…

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.