Your manufacturing plant produces air bags, and it is known that 90% of them are defective. Five air bags are tested. Compute the probability distribution of the binomial variable described above, and use it to compute the probability that if five air bags are tested, at least one will be defective and at least one will not.

Q: The binomial probability distribution requires that there be only two possible outcomes 'success'…

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Q: From experience, an airline knows that only 73% of the passengers booked on a flight from New York…

A: There is only two possibilities either ticket booked(success) or not booked ( failure) If r.v is X ,…

Q: On a certain day, a cheese packaging facility packaged 560 units of mozzarella cheese. Some  these…

A: Solution:   Minor flaw No minor flaw   Major flaw 15 37 52 No major flaw 67 441 508 Total…

Q: The local nursery is waiting for its spring annuals to be delivered, and 20% of the plants ordered…

A: Here, p is 20% and n is 120.

Q: The approach, to develop the binomial probability distribution, begins with the:

A: For binomial distribution, each trial has to be independent of each other and each trial must have…

Q: Suppose you manage the demand for a towing company in Little Rock, Arkansas. On a usual day your…

A: Here Given Company gets five request Per day So Here we can Use Poisson distribution

Q: A certain group of women has a 0.37 ​% rate of​ red/green color blindness. If a woman is randomly​…

A: The probability of compliment of an event A, is defined as P(A’) = 1 – P(A).

Q: In a recent study, 29% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A:

Q: According to the U.S. Coast Guard, sixty-five percent of boating accidents occur in light wind…

A: From the provided information, Sample size (n) = 20 Sixty five percent of boating accidents occur in…

Q: Seventy percent of rivets from vendor A meet a certain strength specification, and 80% of rivets…

A: Let T denotes with the addition of two random variables(X+Y)

Q: In a football school, 25 matches per month are played. 15 of the 25 matches played in the past years…

A: Given ,no.of matches (n) =25and P=1525=35X=no.of matches won

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 recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If…

A:

Q: To avid detection at customs, a traveler places 6 narcotic tablets in bottle containing 9 vitamin…

A:

Q: Past records of a factory show that 4% of the candles produced are defective. What is the…

A:

Q: In a manufacturing plant producing LED light bulbs, 80% of the light bulbs produced are…

A: Given that, the 80% of the produced light bulbs are non, defective. Thus, 20 % of the light bulbs…

Q: In a certain country, 47 percent of the population are on a strict diet. In a sample of 20…

A: Let p be the probability that an individual is on a strict diet. Given that p = 47% = 0.47 Let X…

Q: A major appliance retailer claims that 18% of its sales are dishwashers. If 112 appliances are sold…

A: Given info: Here, n=112, p=0.18.

Q: In what cases would you use the binomial distribution? Give two examples of what would be considered…

A: Given that We have to find the case when we use binomial distribution and it's example

Q: A DVD rental store wants to know what proportion of its customers are under age 21. A simple random…

A: Given, p = 0.60 n = 600 Let p^ be the sample proportion

Q: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces.…

A:

Q: On any given work day, Lillian notices that as she’s driving to school, she is first stopped by a…

A: Let T denote Train and R denote Red light. Given: PR=0.70PT=0.40 Stopped by red light and train are…

Q: Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If…

A: SOLUTION-

Q: In a recent​ survey, it was found that the median income of families in country A was ​$58,000. What…

A: In a recent​ survey, it was found that the median income of families in country A was ​$58,000.

Q: It has been found that 2 out of every 10 people who visit a local store purchase milk. If we…

A: Given: n=13 p=210=0.2

Q: In a certain science degree program, 25 percent of the students failed their mathematics exam, 15…

A:

Q: A grocery store manager notes that 35% of the customers who buy a product make use of a store coupon…

A: Given: Probability of customers who buy a product is, p=35%=0.35. Number of people purchase the…

Q: In a factory that produces blocks of ready- made concrete, if the percentage of production of…

A: Given data,Sample size n=5Percentage of production of defective blocks is p=0.6Let X be event that…

Q: A certain group of women has a 0.63% rate of red/green color blindness. If a woman is randomly…

A:

Q: What is the probability that all three have operated heavy machinery while under the influence of…

A: Let , X be the number of persons say that they have operated heavy machinery while under the…

Q: The Crestview Printing Company prints a particularly popular Christmas card oncea year and…

A: Given: The Crestview Printing Company prints a particularly popular Christmas card once a year and…

Q: what would happen to a probability function if 4-sided dice were used.

A: Explanation:If it is possible to have a 4-sided dice, then rolling the die would give one of the…

Q: In a random survey of 20 students, find the probability that exactly 17 of them will say that they…

A: Given: Total number of students in survey n=20 Number of students say that they do not get enough…

Q: A politician running for Senate in California claims that only 34% of Californians approve of the…

A: Obtain the probability that more than 40% of those surveyed approve of the competitor. The…

Q: A marketing research survey shows that approximately 80 percent of the car owner surveyed indicated…

A: Probability of an event is chances of occurrence of the event. Probability of an event is computed…

Q: You toss a biased coin with a probability p of heads, while your friend tosses at the same time a…

A: Let us define the event A as both coins simultaneously show the same outcome. That is either both…

Q: It has been found that 2 out of every 10 people who visit a local store purchase milk. If we…

A: The probability that more than three of the visitors will purchase milk is obtained below: From the…

Q: In a business statistics class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys…

A: Given: The business statistics contains the 30 students that is present in the class. It mostly…

Q: A geological study indicates that an exploratory oil well drilled in a particular region should…

A: If the third oil strike comes on the fifth well drilled. This means the first two oil strikes came…

Q: A manufacturer of aluminum sheets, finds that on the average, 12.5% of his sheets are rejected…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: Ashley conducted an experiment to see which one of her friends has the best sense of smell. She…

A:

Q: If you know that it rains during ten days out of every thirty days in a particular city. Using the…

A: In statistics theory, the Binomial distribution is the discrete probability distribution and it is a…

Q: ) What is the probability that a randomly selected adult regularly consumes both coffee and soda? )…

A:

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

A:

Q: In a city of 180,000 people there are 20,000 legal immigrants from Latin America. What is the…

A: Given: The total number of people in a city are N=1,80,000. The number of legal immigrants from…

Q: It is found that a certain pharmaceutical cures symptoms in 35% adults. If 500 people take the…

A: Givenp=0.35n=500x~Binomial(n=500,p=0.35)P(X=x)=(nx)(p)x(1-p)n-x   ; x=0,1,..,n