A large population of the fruit fly Drosophila melanogaster is maintained in the lab. In the population, 30% of the individuals are black because of a mutation, while 70% of the individuals have the normal gray body color. Suppose that 10 such flies are randomly chosen. Find the probability that at least 5 of them are gray.

Q: In a certain community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

Q: In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: In a large population, 54 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given data: 54% of the people have been vaccinated.

Q: A college claims that 70% of students receive financial aid. Suppose that 4 students at the college…

A: Let X denote the number of students receive financial aid and it follows binomial distribution with…

Q: In a certain community, 8% of all adults over 50 have diabetes. If a doctor in this community…

A: Introduction - Probability - Probability defines the likelihood of occurrences of an event . There…

Q: In a large population 59% of the people hace been vaccinated.  If 5 people are randomly selected…

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

Q: In a large population, 51% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: In a large population, 59 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Binomial distribution:It is a discrete probability distribution that has exactly two outcomes for…

Q: A store owner complains that, on the average, 2 bottles per case of a certain brand of  softdrink…

A:

Q: In a large hospital, suppose that 35% of patients suffer from disease A, 40% of patients suffer from…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: In a large population, 52 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Let p be the proportion of vaccinated people. Given that p = 0.52 Let X denotes the number of…

Q: In a large population, 69% of the people have been vaccinated. If 5 people are randomly selected,…

A: Given: Sample size (n) = 5 p(people have been vaccinated) = 0.69 Formula: Let "X" be the people that…

Q: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

Q: The Statistical Bulletin reports that 22.5% of the households in the country are inhabited by one…

A: See below hand written answer: hgyukj

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Consider X be random variable which follows binomial distribution indicates the students belongs to…

Q: A survey reveals that 80% of the eligible people in a certain county vote during a county election.…

A: Here, n = 70 and p = 0.80.

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 5 type A balls, 8 type B…

A: Here  the golf bag contains 5 type A balls, 8 type B balls, and 3 type C balls, Then, total balls =…

Q: In a certain conservative precinct, 69% of the voters are registered Republicans. What…

A: Solution: Given data; P = 0.69 Sample size (n) = 100 To find: P( X >= 58) =?

Q: A single card is drawn from an ordinary deck of 52 cards. Find the probability P that the card is a…

A:

Q: In a large population, 55% of the people have been vaccinated. If 3 people are randomly selected,…

A: Let "X" be the people that have been vaccinated.

Q: At a car manufacturing plant, 10% of cars have some sort of defect when they come off the line. If…

A:

Q: In a population where 26 % of voters prefer Candidate A, an organization conducts a poll of 5…

A:

Q: One-sixth of the male freshmen entering a large state school are out-of-state students. If the…

A:

Q: In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students…

A: Given information- We have given a problem of the binomial distribution. Probability of the physics…

Q: 90 students, including JB and Jane, are to be split into three classes of equal size, and this is to…

A: The number of student in the class is 90. Number of parts the class is divided is 3.

Q: In a large hotel, it is known that 99% of all guests return the room keys when checking out. If 250…

A:

Q: In a large population, 66% of the people have been vaccinated. If 3 people are randomly selected,…

A: Let the random variable X denote the no. of people have been vaccinated and it follows binomial…

Q: In a large population, 64 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Proportion of people vaccinated (p) = 0.64 Proportion of people not vaccinated (q) : q=1-pq=0.36 n =…

Q: At a fast-food restaurant, 60% of the patrons order a burger. Of those ordering a burger, 40% also…

A:

Q: Records show that 65% of employees at a high-level research facility have a doctorate degree. If 14…

A: Given data Record shows that 65% of employees at high level research have a doctorate degree. 14…

Q: In a certain population 20 % of the people are classified as high risk for asthma. Four people are…

A:

Q: A survey of the membership of a country club indicates that 50% regularly use the golf course, 34%…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:…

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: In a given​ year, 1,984,239 males and 1,759,722 females were born in a certain country. If a child…

A:

Q: A flashlight has 71 batteries, 13 of which are defective. If two are selected at random without…

A:

Q: Suppose a math class contains 42 students, 18 females (six of whom speak French) and 24 males (four…

A: given that , total students =42 , female students = 18, male students = 24. Female students who can…

Q: A group of people were asked if they owned a dog. 194 responded "yes", and 297 responded "no". Find…

A: Total number of people: 194 + 297 = 491

Q: In a sample of ten men, it is found that six are physically fit. If four men are randomly selected…

A: General formula of probability is,  Probability = Number of favorable outcomes Total outcomes

Q: Suppose a math class contains 23 students, 11 females (five of whom speak French) and 12 males (four…

A: From the information,   French Not French Total Female 5 6 11 Male 4 8 12 Total 9 14 23

Q: If 20% of the chips produced by a company are defective, thenthe probability that at most 3 out of 5…

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

Q: Suppose a math class contains 27 students, 14 females (six of whom speak French) and 13 males (three…

A: Solution: From the given information, a class contains 14 females. Out of which 6 speck French.…

Q: In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people has been vaccinated and n be the sample number of people…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A​ balls, 5…

A: No.of type A balls =  8 No.of type B balls = 5 No.of type C balls = 6 Total number of balls =19…

Q: A manufacturer of laptops reports that among a shipment of 5000 sent to a local distributor, 1000…

A: Given: Number of laptop purchased is, n=10. Total number of shipment of laptop is, N=5000. Number…

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Solution-: Given: n=10,p=0.33 We find, P[no more than 6 belong to an ethnic minorities]=?

Q: If a ball is selected at random from an urn containing three red balls, two white balls, and five…

A: According to the provided information, there are 3 red balls, 2 white balls, and 5 blue balls

Q: In a large population, 71 % of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: Suppose a math class contains 41 students, 19 females (two of whom speak French) and 22 males (three…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.