A new surgery is successful 80% of the time. If the results of 7 such surgeries are randomly sampled, what is the probability that more than 4 of them successful? Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.

Q: Thirty percent of a population of consumers is reputed to prefer a particular brand, say Brand A, of…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

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: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: Twenty percent of all telephones of a certain type are submitted for service while under warranty.…

A: Given : 20% of all telephones of a certain type are submitted for service Out of these 60% get…

Q: For a certain manufacturing process it is known that, on the average, 10% of the items are…

A: Probability of defective item= 10% Probability of non defective item= 90%  As 1st trial, 2nd trial…

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: 3. The defect rate for a laptop is 4%. Assuming the defects occur independently, what is the…

A:

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: In a population of wild flowers 53% are yellow and the remaining flowers are purple. If we took a…

A: Given p=0.53 n=263 Since np=139.39>10 and np(1-p)=65.51>10 Now, using normal approximation,…

Q: Sixty percent of a population of consumers is reputed to prefer a particular brand A, of vaccine. If…

A: Hai

Q: On a particular production line, the likelihood that a light bulb is defective is 5%. Ten light…

A: Given data Probability that light bulb is defective = 0.05 No of bulbs = 10  probability that none…

Q: On average, Connor has noticed that 20 trains pass by his house daily (24 hours) on nearby train…

A: Let X be the number of trains passing by his house

Q: At a pre-school 54% of children prefer the colour red over the colour green. From a sample of 80…

A:

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: An insurance company finds that .5% of the population die from a certain kind of accident each year.…

A: Note: Thank you for the question. It is taken that 0.005% of the population die from a certain kind…

Q: What is the probability that exactly two of these are larger than one ?

A:

Q: A group of realtors estimates that 23% of all homes purchased last year were considered investment…

A: It is given that 23% of all homes purchased last year were considered investment properties.

Q: On average, Connor has noticed that 7 trains pass by his house daily (24 hours) on nearby train…

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

A:

Q: 8. If 30 percent of the mice used in an experiment will become very aggressive within one minute…

A:

Q: hilitu of cuccers n035 and n=5 trials is conducted, What is the probability that the experiment…

A: It is given that n=5 and p=0.35.

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: A survey has shown that on average, 1 person in 1000 makes a mistake on leaving their belongings…

A:

Q: A new surgery is successful 70% of the time. If the results of 7 such surgeries are randomly…

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 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: 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: A recent nationwide study of myopia, nearsightedness, found that 38.1% of U.S. adults ages 18 to 24…

A: A recent nationwide study of myopia, nearsightedness, found that 38.1% of U.S. adults ages 18 to 24…

Q: A fair coin is tossed six times. What is the probability of obtaining at least five ​tails?

A: From the given information, the number of times tossing a coin is 6. The probability of getting a…

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 the main system and a backup system operating throughout…

Q: A new surgery is successful  75%  of the time. If the results of  6  such surgeries are randomly…

A:

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 fair die is rolled five times. What is the probability of obtaining at least four 3​'s?

A:

Q: A fair die is rolled four times. What is the probability of obtaining at least three 4​'s?

A: At least three means 3 or 4 Let X= number of times 4 comes n=total number of trials=4 p=probability…

Q: If a seed is planted, it has a 65% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given: P( chance a seed grows into a healthy plant) = 0.65 n = 10

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

A:

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: If a seed is planted, it has a 70% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Obtain the probability that exactly 1 doesn't grow.   The probability that exactly 1 doesn't grow is…

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: A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly…

A: Concept: Compliments are the mutually exclusive pair of events. The complementation rule states that…