In a certain shipment of 1000 laptops, 20 are defective. If a customer purchases the first 4 laptops in this shipment, what is the probability he gets at least one defective machine?

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: An online quiz has 10 True or False questions. What is the probability that a student got exactly…

A:

Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen

A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…

Q: if 14 jurors are randomly selected from a population where 44% are minorities, what is the…

A: Obtain the probability that 2 or fewer jurors will be minorities. The probability that 2 or fewer…

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

A:

Q: There are 15 boys and 10 girls in a class. If three students are selected at random, what is the…

A: There are 15 boys and 10 girls in a class.

Q: If a baseball player has a batting average of 0.275​, what is the probability that the player will…

A: Givensample size(n)=4p=0.275p+q=1q=1-p=0.725Let x be a random variablex~Binomial (n,p)Accoding to…

Q: usly. What is the probability that you pick at least 4 green balls

A: Total balls = 5 red balls + 6 green balls + 2 yellow balls = 13 balls The number of ways to select 5…

Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

A: Given that,  5 students play soccer  5 students not paly soccer  Total students =10 students

Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given problem is : A die is rolled 20 times and the number of twos that come up is tallied. Find…

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

A: No. of red marbles=7No. of blue marbles=4No. of green marbles=5Total no. of marbles=7+4+5=16

Q: If the probability of being hospitalized during a year is 0.25. Find the probability that no one is…

A: X has binomial distribution. X~binomial(n,p)n=3p=0.25probability mass function of X;…

Q: suppose we draw one card from a standRD DECK. WHAT IS THE PROBABILITY THAT WE GET A RED CARD OR…

A: A deck consists of 52 cards. Let A be event that card is Red card. n(A)=26 B be event that card is…

Q: A single die is rolled eight times. Find the probability that 5 appears at most three times.

A: It is given that a single die rolled 8 times. That is probability of getting a 5 on each trial is…

Q: A history class is comprised of 9 female and 5 male students.if the instructor of the class randomly…

A: There are 14 students in the class (= 9 female + 5 male).

Q: If a student is drawing a card from a deck 40 times with replacement, Calculate the probability of…

A: Number of trials (n): 40 (the student is drawing 40 cards).Probability of drawing a face card (p):…

Q: What is the probability there are at least 5 cars in the drive-thru?

A:

Q: If it takes an average of 12 minutes to back a dozen cookies, what is the probability that it will…

A: Given that  Average minutes to back a dozen cookies = 12 X ~ Poisson(λ = 12)

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.