A box contains 10 red and 9 blue balls. If 3 draws are randomly made one by one without replacement from the box, find the probability of getting red in the third draw given that the first draw and the second draw were' red: Round answer to 4 decimal places Answer:

Q: In the marketing division of a particular company, there are 65 part-time employees and 33 full-time…

A: From the provided information, There are 65 part-time employees and 33 full-time employees. Total…

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

A:

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

A: Given that P(5) = P(6) = 8 × probability of each of 1, 2, 3, 4

Q: Suppose 7 coins are tossed. Find the probability of tossing no heads. ( round to four decimal…

A:

Q: In a large population, 58 % of the people have been vaccinated. If 4 people are randomly selected,…

A: p(people have been vaccinated)=0.58 Numeber of people (n)= 4 Let "X" be the people who has been…

Q: A group of people were asked if Marilyn Monroe had an affair with JFK. 241 responded "Yes", and 292…

A: From the provided information, The number of people who responded “Yes” that they had an affair with…

Q: A six sided die rolled 12 times. What is the probability of getting a 4 five times.

A: We have given that,  X be the random variable from binomial distribution with trail n = 12 and…

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

A:

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

A: 5 and 6 are eight times as likely to come up as other number.

Q: (a) The probability that 10 people have different birthdays is (Round to four decimal places as…

A: Here Given  Total No of days in year=365

Q: A die is weighted in such a way that each of 5 and 6 is three times as likely to come up as each of…

A: The outcomes for a die are 1, 2, 3, 4, 5 and 6.From the given information, the number 5 and 6 are…

Q: The probability that a glove will not crack in a smasso test is 0.70. What is the probability that…

A: The probability that a glove will not crack in a smasso test is 0.70. What is the probability that…

Q: . A nationwide survey of college seniors by the University of Michigan revealed that almost 70%…

A: Given that n =12,p=0.7 a. find the p( 7<=x<9) =? b. find the p(x<=5) =? c. find the p(…

Q: Suppose​ 12% of Americans smoke. If we randomly select 10​ Americans, what is the probability that…

A: Consider X is a random variable that follows binomial distribution with the sample size, n equals to…

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

A: Given: Probability of getting a 5 or a 6, when a die is rolled, is 8 times the probability of…

Q: If the probability that a certain tennis player will serve an ace is 1/4, what is the probability…

A: Solution-: Given: n=8 and p=0.25 (The probability that a certain tennis player will serve an ace is…

Q: A die is weighted in such a way that each of 5 and 6 is three times as likely to come up as each of…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A group of people were asked if Marilyn Monroe had an affair with JFK. 113 responded "Yes", and 329…

A:

Q: A financial services committee had 60 members, of which 10 were women. If 9 members are selected at…

A: a. The probability that 7 men and 2 women are selected is 0.3041 and it is obtained below: From the…

Q: Suppose 90% of kids who visit a doctor have a fever, and 35% kids with a fever have sore throats.…

A: Independent Events:   Any two events A and B are said to independent if the occurrence of the event…

Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once

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

Q: 7. If a student is selected at random, find the probability that the student is male and has hazel…

A: Given that Total number of students = 34 Number of male students = 19 Number of students with hazel…

Q: A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1,…

A: Given: A die in which 2,4,6 is likely to come twice as each of 1,3,5. The objective is to find the…

Q: Find the indicated probability. Round to three decimal places. 33% of the computer science majors…

A: Givenp=0.33sample size(n)=10x~Binomial(n=10 , p=0.33)P(X=x)=(nx)×px×(1-p)n-x    ; x=0,1,...,n

Q: A bin contains 64 light bulbs of which 10 are defective if ice lights bulbs are randomly selected…

A:

Q: Assuming that one in 80 births is a case of twins, calculate the probability of 2 or more sets of…

A:

Q: There are 15 female board members and 10 male board members. If a committee of 12 members is…

A:

Q: A coin is tossed and 8 ​-sided die numbered 1 through  8 is rolled. Find the probability of tossing…

A:

Q: It is found that 361 freshmen students are taking EDA, 104 are taking physics, 191 are taking…

A: Students taking EDA P(EDA)= 361 Students taking Physics P(PHY)= 104 Students taking Calculus ,…

Q: A shipment contains 11 igneous, 9 sedimentary, and 9 metamorphic rocks. If 6 rocks are selected at…

A:

Q: Two coins are tossed 1000 times and the outcomes are recorded as below Number of heads 2 1 Frequency…

A: a.   The means of the observations is,   Substitute the values in the above equation.

Q: A history class is comprised of s female and 6 male students. If the instructor of the class…

A: Given: Number of females = 8 Number of males = 6 Total number of students = 8+6…

Q: a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69…

A: a. Let X be the pulse rate which follows normal distribution with mean 73.0 beats per minute and…

Q: Small metal springs are packed in boxes of 100 and 0.5% of the total output of springs are…

A: Given :  Number of boxes, n = 100 P = 0.5% = 0.005

Q: In a large population, 67 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Let us denote X=the number of people who have been vaccinated n=sample size= 4 p=probability of…

Q: A group of people were asked if life exists elsewhere in the galaxy. 209 responded "Yes", and 227…

A: Number of people who responded "YES" = 209Number of people who responded "NO" = 227

Q: Find the indicated probability.   A bin contains 64 light bulbs of which 10 are defective. If 5…

A: It is an important part of statistics. It is widely used.

Q: An um contains 9 orange balls and 8 red balls. If Juan chooses 5 balls at random from the um, what…

A:

Q: in a large population 68% of the people have been vaccinated,if 4 people were selected, what is the…

A:

Q: If the probability that a certain tennis player will serve an ace is 1/4, what is the probability…

A: Given data, n=7 p=1/4=0.25 P(X=2)=?

Q: If a fair dye is rolled two times, find the probability of rolling a 3, and then a 4. Round your…

A: Let S be the sample space

Q: A die is weighted in such a way that each of 5 and 6 is three times as likely to come up as each of…

A: ∑P(x) = 1   ( Using this it can be answered)

Q: In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue…

A: Given, P(brown) = 0.72 P(blue) = 0.28

Q: A factory produces candies, and 27% are blue. In the factory, the candies are randomly mixed…

A: Here we will use the concept of Binomial distribution  The PMF of the Binomial distribution is given…

Q: In a large population, 64 % of the people have been vaccinated. If 3 people are randomly selected,…

A:

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

A: The objective here is to first find the probability distribution and the to find the probability of…

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 10. Find the…

A: Given that  The average number of field mice per acre in a 5-acre wheat field is estimated to be 10.…

Q: A package contains 16 resistors, 5 of which are defective. If 6 are selected, The probability of…

A:

Q: Assume that the average number of births in a hospital is 3 births per shift. a) What is the…

A: Given, Assume that the average number of births in a hospital is 3 births per shift. This follows…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.