A new surgery is successfully 85% of the time . If the results of 7 such surgeries are randomly sampled, what is the probability that at least 5 of them are successful. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.

Q: A random sample of 100 blue-collar employees at a large corporation are surveyed to assess their…

A: Given: Sample size (n) = 100 Probability of success (p) = 0.60 Let X ~ Bin (100, 0.60)

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: In this question we will be using Poisson distribution.  It is given that the restaurant can expect…

Q: Suppose a newly opened fast food restaurant invested a lot in marketing and have finally…

A: Given : Average of 4 customer in every 5 minutes.

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: On average, 1 out of every 10 radiation caps leaks right out of the box. What is the probability…

A: Given Information:  Probability of a leaked radiation cap = 1/10 = 0.1  Number of newly manufactured…

Q: A new surgery is successful 80 percent of the time. If the results of 9 such surgeries are randomly…

A: P =Probability of successful surgery and x=no of successful surgerys.  given, P=0.08              n…

Q: Two regular 6-sided dice are tossed, one at a time. Compute the probability that the pips on both…

A: For each die, there are 6 possible outcomes.  So for 2 six-sided dice, there are 62=36 outcomes.…

Q: A population of women has 40% with dark eyes. If a sample of 20 women are selected from this…

A: Given: p=0.4 n=20 Let X~B(n,p)

Q: From a well-shuffled deck of ordinary playing cards, four cards are turnedover one at a time without…

A: A well shuffled deck of card contains 52 cards of which 26 cards are red and  13 card are spades.…

Q: A new surgery is successful 70%of the time. If the results of 9 such surgeries are randomly sampled,…

A: Given that a new surgery is successful 70%of the time.  Probability, p = 70% = 0.70 Sample size, n =…

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: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Let X be the number of cars needs to have oil added. Given: n=84 and p=1/5=0.2 Hence, X ~ B (n=84,…

Q: In any given sampling, there is a 54% chance that a new invasive fish to be sampled along with other…

A: Probability: Probability is a chance factor that can occurs at every outcome of a random experiment.…

Q: On average, an IRS auditor discovers 4.7 fraudulent income tax returns per day. On a randomly chosen…

A: It is given that; the auditor discovers 4.7 fraudulent income tax returns per day.Thus, the random…

Q: 4) According to a recent study, 1 in every 8 women has been a victim of domestic abuse at some point…

A: Given, no of women= 25 1 in every 8 women is abused, therefore p=1/8 = 0.125 Let X be the random…

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

A: Solution

Q: A recent survey shows that 60% of families regularly schedule family vacations for the month of…

A: Given, 60% of families regularly schedule family vacations for the month of April. Let X = number of…

Q: Two regular six sided dice are tossed, one at a time. compute the probability that the pips on both…

A: For each die, there are 6 possible outcomes.  So for 2 six-sided dice, there are 62=36 outcomes.…

Q: When one is randomly sampling four items from a population, what is the probability that all four…

A: (a). Compute the probability that all four elements will come from the top quartile of the…

Q: If an average of 40 calls is required in a typical eight hour shift, what is the probability that at…

A: Given: Average number of calls made in eight-hour shift is 40. The average calls made in an 2 hour…

Q: You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it…

A:

Q: Suppose we toss a biased coin for which a heads is twice as likely as a tails. If the coin is tossed…

A: Let us assume the probability of getting a tail=x So the probability of getting a head=2x Total…

Q: A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1,…

A: Given: A die in which 2,4,6 is likely to come twice as each of 1,3,5. The objective is to find the…

Q: In a batch of 2000 calculators , there are, on average, 8 defective ones. If a random sample of 150…

A:

Q: A company receives 65% of its orders over the Internet. Within a collection of 18 independently…

A: Given data, n=18 p=65%=0.65 P(X≤4)=?

Q: A sample preparation for a chemical measurement is completed correctly by 25% of the lab…

A:

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Let, P(growing)=60% = 0.60 P( not growing)=1-0.60 = 0.40 n = 11 The probability that exactly 4 don't…

Q: Suppose 48 % of the registered voters in a country are Republican. If a sample of 597 voters is…

A: The mean of sampling distribution of proportion is obtained below: From the given information, the…

Q: A component of a spacecraft has both a main system and a backup system operating throughout a…

A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a…

Q: On average 1 out of every 10 radiator caps leaks right out of the box. What is the probability that,…

A:

Q: On average, under standard inspection, one in every 100 slaughtered chickens passes state inspection…

A: It is given that an average, one in every 100 slaughter chickens passes state inspection, even…

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

A:

Q: If a seed is planted, it has a 70 %chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given data, p=0.70 (grows healthy plant) If n=10 then P(X=1) doesnot grow=?

Q: If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up…

A: Given: A fair 6 sided dice which is rolled 9 times. Probability=Number of favourable outcomesTotal…

Q: If a "fair" coin is tossed 1,000,000 times, one would expect the probability (not the number of…

A: here given, The Law of large numbers states that as the number of repetitions of an experiment n…

Q: new surgery is successful 80% of the time. If the results of 8 such surgeries are randomly sampled,…

A: Formula : Binomial distribution is given by

Q: In a hybrid corn research​ project, 250 seeds were​ planted, and 165 of them germinated. Find the…

A: Given that, the number of seeds planted is 250 and the number of seeds germinated is 165. Note that,…

Q: When a scientist conducted a genetics experiment with peas, one sample of offspring consisted of 911…

A: Given n=911, probability of pea will have a red flower is p=3/4. Let X be the number of peas with…

Q: Based on a Bellows survey of adults, there is a 0.48 probability that a randomly selected adult uses…

A:

Q: The CDC knows from past studies that 23 out of every 100 children from a local community have not…

A: We have to find given probability.

Q: A certain group of women has a 0.210.21​% rate of​ red/green color blindness. If a woman is…

A: Given DataPercentage of women having red/green color blindness = 21%Probability of women having…

Q: A certain group of women has a 0.29​% rate of​ red/green color blindness. If a woman is randomly​…

A: Given, A certain group of women has a 0.29​% rate of​ red/green color blindness. Let P(A) = 0.29% =…

Q: According to police sources, a car with a certain protection will be recovered 90% of the time. If…

A: Introduction:Consider the event of recovering a stolen car with the protection as a “success”.For a…

Q: In a recent poll of voters, 20% were displeased with both candidates. If 3 people were picked at…

A: Let x is random variable where people like candidates, and n is total number of trial.Given:20%…

Q: A statistics of a machine factory indicates that for every 1000 it produces there is one reject…

A:

Q: Suppose you have a shipment of 100 drills, and four of them are defective. If you randomly select…

A: Define the random variable x as the number of defective drills. Here, the number of adults chosen…

Q: Previous surveys indicate 33% of households in Barrie regularly recycle household waste through a…

A: Given that  n=10 , p=33%=0.33 , q=1-p=1-0.33=0.67 X~Binomial(n=10,p=0.33) X= Number of blue box

Q: On one large campus, 18% of students surveyed said that they spend less than an hour a night…

A: Let X denotes the number of students spend less than hour a night studying. Here, n= 3 and p = 18%…

Q: In a new fiber-optic communication system, trans- mission errors occur at the rate of 1.5 per twenty…

A: Given,The average no.of errors occur per twenty seconds is 1.5so, the average no.of errors occur per…

Q: Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida…

A: The probability of more than one driver is uninsured can be calculated using Binomial distribution:

Q: A safety engineer claims that only 30% of all workers wear safety helmets when they eat lunch at the…

A: The Probability mass function for Binomial distribution is given by                     P(X=x)=ncx…

Q: Of the last 6 trains to arrive at Westminster Station, 3 were on time. What is the experimental…

A: There are totally 6 trains to arrive at Westminster Station in which 3 were on time.

Q: Within the general population in the 21st century, the chances of having twins are about 3 in 100…

A: Given Information: Let A be the event of getting a couple with twin baby. Let B be the event getting…

Q: A manufacturer of metal pistons finds that on the average, 18% of his pistons are rejected because…

A: Givensample size(n)=15p=18%=0.18Let "x" be the no.of pistions…

Q: For a box containing 25 matches dropped into water, what is the probability that fewer than three of…

A: Let p be the probability that a match will light. Given that p = 0.17 Let X denote the number of…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.