A supervisor is gathering samples of the newly-made products of the company. If each sample has 4% chance of missing a part, find the probability that in the next 20 samples, exactly 3 samples have missing parts. Assume that the samples are independent with regard to the presence of the missing parts.

Q: If a seed is planted, it has a 85% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Given that, Probability(grow) = 85% = 0.85 Probability(don't grow) = 15% = 0.15 Sample size, n = 11

Q: At TCNJ, 35% of the engineering majors belong to ethnic minorities. If 6 students are selected at…

A: Given,n=6p=0.35X=no.of students belong to ethnic minorityX~Binomial (n=6 , p=0.35)P(X=x)=nx pxqn-x…

Q: In a given city it rains 25% of the days. A meteorologist has an 80% chance of getting his forecast…

A: given data  event A :sunny days  B:rainy days C: forecast is correct P(B) = 0.25    P(A) = 1-0.25 =…

Q: Two supermarkets serving the Northside area of San Antonio, H.E.D. and Walbart, are interested in…

A: Given, It is found that if a customer shopped at H.E.D. in a given week, the probability that the…

Q: If a seed is planted, it has a 70% chance of growing into a healthy plant. If 12 seeds are planted,…

A: Given, n=12 probability of grow = 70%                                  = 0.70

Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 12 seeds are planted,…

A: Sample size, n = 12 Probability(grow) = 95% = 0.95

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 6 seeds are planted,…

A: For any seed there are two possibilities  1. Either they grow  2. Not grow So each seed is…

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: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 12 seeds are planted,…

A: 60% chance of growing into a healthy plant i.e. Probability(grow) = 0.60 Probability(doesn't grow) =…

Q: If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a…

A: Given: Proportion if defective bulb =0.03 Number of bulbs (n) =100 In this question we will use…

Q: If two coins are flipped once, what is the probability that both coins will turn up heads? Assume…

A: From the provided information, Two coins are flipped once. The coins are fair and head or tail is…

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

A: If 11 seeds are planted, what is the probability that exactly 2 don't grow will be equal to the…

Q: A place kicker in pro football has a 77% probability of making a field goal over 40 yards, and each…

A: According to the given information, the probability of making a field goal over 40 yards is 0.77.…

Q: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

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: A farmer said that 2/3 of his apple trees were attacked by fruit flies. If the inspection is carried…

A:

Q: A small town has one fire engine and one ambulance available for emergencies. The probability that…

A: Given: Event A= Fire engine is available Event B=Ambulance available  Both A and B are independent.…

Q: Two supermarkets serving the Northside area of San Antonio, H.E.D. and Walbart, are interested in…

A:

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

A: Given : p = 15 q = 45 Apply Binomial distribution P(X=x) = Cxn px qn-x

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: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Given information- We have given a problem of binomial distribution. We have given that if a seed is…

Q: three out of four university students under 25 years old have eaten eggs for breakfast. If a random…

A: Solution: Given data: Probability, P = 3/4  = 0.75 Sample size (n) = 20 To find : the probability…

Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

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: A batch of 100 cords has 8 defective cords. If 4 cords, taken at random from the batch, are to be…

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 a main system and a backup system operating throughout a…

Q: In a recent survey, 60% of the community favored building a health center in their neighborhood. If…

A: Given that,60% of the community favored building a health center in their neighborhood.Probability,…

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

A: Given Data Probability of success,p = 0.59 Probability of failure,q=(1- 0.59 )= 0.41…

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

A: x: Car needs oil. X ~ Bin(n,p) Where p = 1/5 = 0.20 P(X) = nCx * px * ( 1 - p)n-x

Q: A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because…

A: This is the case of binomial, as there are two possible outcomes with a fixed number of trials.…

Q: The probability that a given tourist goes to the amusement park is 0.47, and the probability that…

A:

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: A local jam production company is confident that 60% of the population will like its new grapefruit…

A: From the given information, the probability of the population will like new grapefruit jelly is 60%.…

Q: In a certain coffee shop, each customer orders exactly one cup of coffee, and 60% of customers order…

A:

Q: A safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the…

A: Given,n=6p=0.4q=1-0.4=0.6A random variable X~Binomial(n=6 , p=0.4)P(X=x)=6x0.4x0.66-x   ;…

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: The local weather forecaster predicts that there is a 12% chance of rain on each day next week.…

A:

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A: Given data, p=0.60 n=10 P(X<2)=?

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If eleven seeds are…

A: Answer:Given that:p=0.95 ,   n=11now will use Binomial probability P(X=x)=nx*Px*(1–P)n–x,where…

Q: Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at…

A: Total number of students = 25Number of students uses library atleast twice aweek =18

Q: In the current campaign period, suppose a random person is selected, based on previous survey, there…

A:

Q: When treated with anabiotic 92% of all the Dolphins are cured of an ear infection. If 8 Dolphins are…

A:

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: A survey shows that about 65% of all respondents chose to have dogs over cats. Suppose that 15…

A: Here, n = 15 and p = 0.65

Q: If a seed is planted, it has a 85% chance of growing into a healthy plant. If 12 seeds are planted,…

A: Probability that growing into a healthy plant is 85% = 0.85 P(grow) = 0.85 P(don't grow) = 1 -…

Q: A cafe receives an average of 4 orders of Mocha Frappe every 5 minutes. What is the probability of…

A: We have to find given probability.

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Let "X" be the planted seeds that don't grow.

Q: When treated with anabiotic 92% of all the Dolphins are cured of an ear infection. If six Dolphins…

A: