An undergraduate business student has purchased a laptop computer for use during exams. This laptop is perfectly reliable except for two parts: its microchip, which has a MTBF =  25 hours and its battery, which has a MTBF = 30 hours. Assuming that a new battery has just been installed, what is the probability that the battery will FAIL during a 3 hour exam?

Q: A rare metal is found in 1/1000 soil samples taken in the field. You develop a field test that is…

A: Given information: P(Metal found)=11000=0.001P(No metal found)=1-P(Finding the metal)=1-0.001=0.999…

Q: Enrique buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 6…

A:

Q: You are at the county fair and play a game that involves throwing a baseball at target. You get 3…

A: Given,n=3p=0.37A random variable X~Binomial(n=3 , p=0.37)P(X=x)=Cx(0.37)x(1-0.37)3-x     ;…

Q: If each day there's a 60 percent chance Joe will eat lunch, what is the probability that he'll eat…

A: Given: Each day there is 60% chance Joe will eat lunch. Objective of the question is to calculate…

Q: If a basket ball player makes a 3 point shot, he has a 55% chance of making his next shot.  If the…

A: Let Ei denotes the event that the player makes the ith 3-point shot, i=1,2,3. Given that if a…

Q: On average, commercial on HULU last 2.5 minutes. What is the probability that Julio will wait…

A:

Q: Elaine is enrolled in a self-paced course that allows three attempts to pass an examination on…

A: To estimate the probability that Elaine eventually passes the exam using the given table, following…

Q: A history class is comprised of 10 female and 3 male students. If the instructor of the class…

A: Given that the information  Number of female students =10 Number of Male students=3 Total =17 we…

Q: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: A flood control levee is planned to be built to withstand any flood discharge up to the 75-year…

A: Levee - A barrier made of soil or other materials that is built beside a river to stop the river…

Q: Moira, a fortune teller, claims to be able to predict the sex of unborn children. In fact, on each…

A:

Q: In China approximately 70% of people are either vaccinated or have immunization from a previous…

A: Let us define the following events: E1: A person is vaccinatedE2: A person is not vaccinated…

Q: The average number of cars that enter the mountain through the tunnel is one every two minutes. If…

A: The Poisson distribution is used to calculate the probability of getting r number of…

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

A: Probability is the chance of occurence of particular event will happen. Probability always lies…

Q: The average price for an acre of land in Texas is  N(2700, 7802)  in dollars. Jaime will survey 121…

A:

Q: Tadashi sent 2000 bits of data to Hiro via a noisy channel. Due to the noise, each bit may have an…

A:

Q: Gregory buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 8…

A: We  have given the following   7 chocolate chip cookies,  5 peanut butter cookies  8 sugar cookies,…

Q: Oliver knows that a virus is relatively virulent and estimates that 15% of the population has the…

A: Let the testing kit of Oliver accurately identifies the disease with a probability of p. Probability…

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

A: given that n =14,p=0.6, p(x=5)=?

Q: A botanist developed a new hybrid cotton plant that can withstand insects better than other cotton…

A: From the given information, n = 3,000 and x = 2,300.

Q: A local fan club plans to invest  19,429   to host a soccer game. The total revenue from the sale of…

A: Investment =$19,429Revenue=$70,182P(Rain)=0.15

Q: Wyatt buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 8 sugar…

A: Total number of cookies = 26 The probability of getting one cookie as the chocolate chip is P(first)…

Q: Professor Brown gives her students a maximum of three attempts to pass a final examination in her…

A: Given information, The probability of passing on the first attempt is 0.40 The probability of…

Q: It has rained for 18 days out of the last 30. Using this information, what is the likelihood that it…

A:

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.