The Department of Labor and Employment (DOLE) found that 83% of Filipinos think that having a college education is important to succeed in life. If random sample of seven Filipinos is selected, find the probabilities that least five people will agree with that statement.

Q: Based upon patterns of previous years, it is anticipated that among the entering class of students…

A: Consider the given data, PArts=35%=0.35PBusiness=40%=0.40PScience=25%=0.25 Consider taking the sum…

Q: When packaging a product, a manufacturer finds that one packet in twenty is underweight. Determine…

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Q: A leading large college recently reported that 40.5% of its student body had concerns about the…

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Q: Use technology (calculator, Microsoft Excel, or Google Sheets) to find the following binomial…

A: Given : Let X : No. of US adult having chronic kidney disease Proportion (p) = 0.35 Sample size (n)…

Q: If two fair dice are rolled, find the probabilities of the following results A double, given that…

A: Consider the given information as If two fair dice are rolled, find the probabilities of the…

Q: The punctuality of trains has been investigated by considering a number of train journeys. In the…

A: Let,  Manchester=A Birmingham=B Edinburgh=C The event of a train arriving late= D Given that:…

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 686 plants with white…

A: Given, Total number of flowers =686  Plants with white flowers  plants with purple flowers =1076…

Q: A study reports that 56% of residents of New Jersey support increased funding for public schools. If…

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Q: Sports science researchers determined that, for those people who skateboard, 22% have never had an…

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Q: A cell phone company found that 75% of all customers want text messaging on their phones, 80% want…

A: Given: Let's say that the total population is 100. Number of people want messaging is 75 Number of…

Q: If the probabilities that a cell phone technician will repair 5, 6, 7, 8, 9, or 10 or more cell…

A: Given info: # of cell phone Probability 5 0.12 6 0.15 7 0.15 8 0.26 9 0.13 10 0.17…

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

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

Q: A sample of automobile dealerships found that 19 % of automobiles sold are silver. If two cars are…

A: Given Information: 0.19% of the automobiles sold are silver. Two cars are selected randomly.

Q: A jury of 12 people is selected randomly from the population. If it is known that approximately half…

A: Solution

Q: If a single fair die is rolled, find the probabilities of the follow- ing results A 4, given that…

A: When a single dice rolled: Possibilities outcomes are: 1, 2, 3, 4, 5, 6.

Q: In a past presidential election, it was estimated that the probability that the Republican candidate…

A: Given information: The probability that the republican candidate would be elected in past election…

Q: Prior to a municipal election, a public-opinion poll determined that the probability of each of the…

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Q: Pegasus Inc. surveyed 700 potential customers and asked whether they like to shop in a store or…

A: Given: The number of people like to shop in store n(A)=325 The number of people like to shop online…

Q: It is known that 20 percent of all persons given a certain medication get drowsy within two minutes.…

A: We want to find the following probability

Q: If a single fair die is rolled, find the probabilities of the follow- ing results. A 2, given that…

A: When a single fair die is rolled then the possible outcomes are 1, 2, 3, 4, 5 and 6. Hence, total…

Q: If the probabilities that an automobile machine will service 3,4,5,6,7, or 8, or more cars on any…

A: Given Information: The following table represents the number of cars that automobile mechanic will…

Q: The latest nationwide political poll indicates that for Americans who are randomly selected, the…

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Q: Use technology (calculator, Microsoft Excel, or Google Sheets) to find the following binomial…

A: Given: n = 175 p = 0.35 q = 1-p     = 1-0.35 q = 0.65 Formula used: Binomial distribution: P(X = x)…

Q: An analyst estimates that the probability of default on a seven year AA-rated bond is 0.49, while…

A: Let; AA = Default on a seven year AA-rated bond A = Default on a seven year A-rated bond Given;…

Q: accounting professor claims that no more than one quarter of undergraduate business students will…

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Q: It is known that 10% of the calculators shipped from a particular factory are defective. What is the…

A: Givenp=0.10n=5x~Binomial(n=5,p=0.10)P(X=x)=(nx)×px×(1-p)n-x    ; x=0,1...,n

Q: The probability that the first control device is defective. The probability that the first three…

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Q: An average student is known to have a chance of 50% in answering a TRUE or FALSE question correctly.…

A: Obtain the probability that an average student will have at least 1 correct answer.   The…

Q: Suppose that 15 lightbulbs are in a cabinet and that 4 are defective. If three bulbs are chosen at…

A: It is given that, 15 lightbulbs are in a cabinet and that 4 are defective.Then, 15 - 4 = 11…

Q: If two fair dice are rolled, find the probabilities of the following results A sum of 6, given that…

A: Given: Two fair dice are rolled. Possible outcomes from a roll of dice are: {1, 2, 3, 4, 5, 6}.…

Q: In a large IT company, 70% of programmers are male while 25% know Python. Eighteen percent of the…

A: Given that P(male) = 0.70 P(know python) = 0.25 P(male and know python) = 0.18

Q: In a certain community, 36 percent of families own a dog, and 30 percent of families own a cat. What…

A: A = families own a dog B= families own a cat  P(A)=36%=0.36 P(B)=30%=0.30

Q: If the probabilities are 0.10, 0.14, 0.23, and 0.25, respectively, that a student buying a new…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively,…

A: Given: P(Hisk risk client filed a claim) = 0.04  P(Medium risk client filed a claim) = 0.02…

Q: A firm offers routine physical examinations as part of a health service program for its employees.…

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Q: According to a theory in​ genetics, if tall and colorful plants are crossed with short and…

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Q: Given that 58% of all gold dealers believe next year will be a good one to speculate in South…

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Q: The National Association of Realtors estimates that 23% of all homes purchased in 2004 were…

A: Given: p=0.23 n=800 x=200 The sample proportion is, p^=xn=200800=0.25

Q: Choose an American household at random and ask how many televisions that household owns. Here are…

A: Given: x P(X) x.P(X) 0 0.1 0 1 0.44 0.44 2 0.28 0.56 3 0.18 0.54 Total   1.54

Q: According to the American Automobile Association (AAA), 5.3% of Americans plan to travel by car over…

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Q: According to a theory in​ genetics, if tall and colorful plants are crossed with short and…

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Q: According to Mendel’s theory, if tall and colorful plants are crossed with short and colorless…

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Q: Statistics released by a reputable traffic safety organization show that on an average weekend…

A: Answers: a) The probability is 0.0011 b) The probability is 0.0222 c) The probability is 0.3693

Q: In a company that makes sports bikes, 90% of the bikes pass final inspection and 10% fail and need…

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Q: What is the probability that the next card dealt will be a face card if the 12 cards dealt so far…

A: In this problem, the probability that the next card dealt will be a face card after drawing 12 cards…

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.