Public Opinion reported that 50% of Americans are afraid of being alone in a house at night when they are in a foreign country. If a random sample of 9 Americans is selected, find these probabilities by using the binomial table.

Q: In a large population, 50 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Givenp=50%=0.50n=3x=noof people get vaccinatedx~Binomial(n=2,p=0.50)P(X=x)=Cxn px (1-p)n-x    ;…

Q: in a beauty pageant with 10 finalists and with equal chances of being chosen, what is the…

A: All the 10 finalist are equally likely to be chosen as winner, for equally likely outcomes 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: A fuel company conducts a geologic survey that has a 20% chance of striking an oil reserve. What is…

A: Given,A fuel company conducts a geologic surveythat has a 20% chance of striking an oil reserve

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: When packaging a product, a manufacturer finds that one packet in twenty is underweight. Determine…

A:

Q: It has been estimated that 21% of Americans are smokers. If five American adults are chosen at…

A: From the provided information, It has been estimated that 21% of Americans are smokers that is p =…

Q: Use technology (calculator, Microsoft Excel, or Google Sheets) to find the following binomial…

A: Given : Let X : No. of US adult having chronic kidney disease Proportion (p) = 0.35 Sample size (n)…

Q: What is the sum of the probabilities in any probability distribution?

A: The sum of all probabilities in any probability distribution is always 1.  Generally, probability…

Q: What is the probability that a six-card poker hand contains 3 pairs? What is the probability that an…

A: The probability that a six card poker hand contains 3 pairs: P =…

Q: What is the probability of drawing a jack and a king consecutively from a deck of cards, with…

A: Given data: What is the probability of drawing a jack and a king consecutively from a deck ofcards,…

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: 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: The results of a recent survey indicate that 71% of people in the United States use more than one…

A:

Q: A sample of automobile dealerships found that 19 % of automobiles sold are silver. If two cars are…

A: Given Information: 0.19% of the automobiles sold are silver. Two cars are selected randomly.

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

A:

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: Suppose a recent study determined that 29% of Americans favorite ice cream flavor is If a sample of…

A:

Q: If 20 horses face off in the Kentucky Derby, what is the probability of winning with an exacta (a…

A: Given that there are 20 horses.  So the probability of each horse winning is= 120   If I bet on 2…

Q: In a Business Statistics class, there are 15 girls and 11 boys. On a test 2, 9 girls and 6 boys made…

A: Given: In a business statistics class there are 15 girls and 11 boys on a test 2, 9 girls, and 6…

Q: Suppose a group of students take an influenza test and 96% of the students test positive. What is…

A: Given that Student tested positive = 96% I.e probability of students tested positive is =0.96

Q: Recent research suggests that 73% of Americans have a home phone, 83% have a cell phone, and 58% of…

A: Given:

Q: Suppose a bridge player’s hand of 13 cards. Given that it contains one ace, what is the probability…

A: Given that one ace is present then the number of ways of choosing one ace from 4 ace is 41. Then,…

Q: Just before a referendum on a school budget, a local newspaper polls 412 voters to predict whether…

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: The table to the right lists probabilities for the corresponding numbers of girls in three births.…

A: Given that  Random variable (x) =  Number of girls in three births The random variable  x  = 0   ;…

Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A: Obtain the probability that the first strike comes on the second well drilled.   The probability…

Q: It has been estimated that 21% of Americans are smokers. If four American adults are chosen at…

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So 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: Eight out of ten motorcyclists wear safety helmets in states that do not require them. If two…

A: Total number of motorcyclists  = 10 No.of motorcyclists wear safety helmets = 8 The probability that…

Q: A salesperson found that there was a 1% chance of a sale from her phone solicitations. Find the…

A:

Q: what is the probability all three would be smokers?

A: Let , X be the number of smokers Here , X→B(n=3 , p=0.20) The probability mass function of X is ,…

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: Out of 800 families with four children each, what percentage would be expected to have no girls?…

A: Given that, Out of 800 families with four children each and  boys and girls are equally likely to…

Q: In a large population, 53% of the people have been vaccinated. If 5 of the people are randomly…

A: It is given that n = 5 and p =0.53.

Q: A group of friends are playing​ 5-card poker with a deck of 52 cards. For a probability distribution…

A: Ans: The sum of all the individual probabilities should be 1 . As there are 5 cards that are worth…

Q: If a randomly selected student owns a cell phone, what is the probability that this student also…

A:

Q: A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is…

A: Given: Number of Americans =19 Number of Canadians =131

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: Just before a referendum on a school​ budget, a local newspaper polls 424 voters to predict whether…

A: It is given that ,just before a referendum on a school​ budget, a local newspaper polls 424 voters…

Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A:

Q: If two people are chosen with replacement from the data, what is the probability that both are…

A: Given contingency table is :   Athletic Shoes Sandals Dress Shoes Other Total Men…

Q: A school survey found that 9 out of 10 students like pizza. If three students are chosen at random…

A: We have to find given probability..

Q: In a 2 colour spinner, the probability of spinning red is 4 times the probability of spinning green.…

A: Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Q: According to Waste Management, 70% of all people recycle. If I send out 150 surveys and they all…

A: Let x follows binomial distribution with parameters n = 150 and p =0.70   The pdf of binomial…

Q: Eight percent of Americans have a master's degree. If five Americans are selected at random, what is…

A: Given,n=5p=0.08A random variable X~Binomial(n=5 , p=0.08)P(X=x)=5x0.08x1-0.085-x   ;  x=0,1,..5

Q: A recent study shows that 4% of California residents consider purchasing an electric car . If we…

A:

Q: In a recent survey, 70% of the community favored building a health center in their neighborhood. If…

A: Let "X" be the community favored by building a health center in their neighborhood.

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

A:

Q: During a recent year, there were 15.3 million automobile accidents, 5.2 million truck accidents, and…

A: Number of automobile accidents   = 15.3 million Number of truck  accidents   = 5.2 million Number of…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.