A jury consists of five men and seven women. Three jury members are selected at random for an interview. Find the probability that all three are men. Please find the probability using combination formula, given that nCr=n!/(n-r)!r!

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: A piece of wire 6 in. long is cut into two pieces at a random point. Whatis the probability that…

A: To find: The probability that both pieces of wire will be at least 1 inch long. Given: The length of…

Q: Assume that 8 women and 6 men work in a department at a large company, a committee of 4 people from…

A:

Q: L As only 3 students came to attend the class today, find the probability for exactly 4 students to…

A:

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

A:

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Solution: Let X be the number of children are girls and n be the sample number of children. From the…

Q: At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic…

A:

Q: A group of people were asked whether they owned a dog. The number of people that owned a dog was…

A: From the provided information, Sample size (n) = 490 + 464 = 954 The number of people that owned a…

Q: A survey finds customers are charged incorrectly for 1 out of every 10 items. Suppose a customer…

A: Binomial distribution is given by

Q: The probability that a bomber hits its target on any particular run is .80. If three bombers are…

A:

Q: A fair coin is tossed 13 times. What is the probability of tossing 13 heads, given that the first 12…

A: Given: The probability of throwing 13 heads given that first 12 tosses are heads is denoted by…

Q: Let X be the number of times '4' is rolled out of a total of 8 rolls.  What is the probability that…

A:

Q: In a large population, 67 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given: Let X be the number of people has been vaccinated.   n=5 and p=0.67 X ~ B (n=5, p=0.67)

Q: In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected,…

A: We have given that  Sample size n= 5 Success of probability p=57%=0.57 X~binomial ( n ,p)

Q: Find the indicated probability. Round to the nearest thousandth.In a blood testing procedure, blood…

A: The probability that individual sample test is negative is, Pn=1-0.11=0.89

Q: A coin is loaded so that the probability of a head occurring on a single toss is 5/6. In three…

A:

Q: A card is selected at random from a standard deck of playing cards. Compute the probability that…

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

Q: A coin is thrown 3 times. What is the probability that ?at least one head is obtained

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: When treated with an​ antibiotic, 98​% of all the dolphins are cured of a particular bacterial…

A: The probability that exactly 3 are cured is obtained below:

Q: In a large population, 60 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: During a manufacturing process, 44 defective items are found out of 10,000 produced. What is the…

A: During a manufacturing process; 44 defective items are found out of 10,000 produced. when an item is…

Q: n a large population, 71% of the people have been vaccinated. If 3 people are randomly selected,…

A: Here it is given that- total number of observation(n) = 3 sample proportion(p)= 71100=0.71 As n and…

Q: What is the probability that Z is greater than −0.28​?

A: Given data: What is the probability that Z is greater than −0.28​?

Q: What is the probability that 5 particles enter the counter in any given millisecond?

A: Let X denote the number of particles passing through a counter in 1 millisecond.

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

A: Given that, proportion, p= 54%  p= 0.54 We selected 5 people so sample size is n= 5 Hence random…

Q: A local drugstore owner knows that, on average, 100 people enter his store each hour. a. Find the…

A: Here we will use poisson distribution;

Q: (A) Find the probability that at least 1 ball was red, given that the first ball was replaced before…

A: A box contains 4 red and 2 white balls.  (A)  Find the probability that at least 1 ball was red,…

Q: 2. Find the probability that it is actually one.

A:

Q: In recent tournaments a shooter has hit 35 of the 50 shots made. a) In the first round, what is the…

A: Given data: The given hit shots are s=35. The total given shots are n=50. a) The expression for the…

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Let n be the number of children's in a family = 6 Let p be the probability of a child being a girl =…

Q: What is the probability that Z is less than 1.53 or greater than 1.84​?

A: Required probability is P(Z<1.53 or Z>1.84)

Q: An emergency center receives an average of 4 emergency calls in 10 minute intervals. How much the…

A:

Q: A card is selected at random from a standard deck of playing cards. Compute the probability that…

A:

Q: Find the probability that an investor makes a profit on 6 of her next 12 investments, assuming…

A:

Q: What is the probability that when three coins are flipped, at most one lands heads?

A:

Q: At a particular restaurant, 56% of all customers order an appetizer and 42% of all customers order…

A:

Q: for a publisher of technical books, the probability that any page contains at least one error is p =…

A: Given that  n=1000 , p=0.005

Q: In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Introduction: Denote X as the random variable of interest here, which is the number of people who…

Q: A card is selected at random from a standard deck of playing cards. compute the probability that…

A: We have 4 cards with number 10 Of the 52 cards in a total pack

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

A: Given: Mean number of customers every 3 minutes = 2 Mean number of customers for 9 minutes = 2×93=6…

Q: In a survey of 150 investors who had recently purchased shares: 85 said they had bought share A, 70…

A: Here,PA=85150PB=75150Pneither A nor B=PA∩B=35150

Q: In a large population, 68 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Given that, 68% of the people have been vaccinated. Probability, p = 68% = 0.68 Sample size, n = 3

Q: A card is selected at random from a standard deck of playing cards.Compute the probability that the…

A:

Q: The Wilson family had 9 children. Assuming that the probability of a child being a girl is 0.5, find…

A: The provided information are: Number of children = 9 Probability of a child being girl (p) = 0.5…

Q: Eight coins are thrown simultancously. Show that the probability of obtaining atleast 6 heads is…

A:

Q: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are…

A:

Q: Find the probability of getting 6 and 5 respectively in two throws of a die.

A:

Q: What is the probability that Z is less than 1.53​?

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.