Cars are being produced by two factories, but factory 1 is known to produce twice as many cars as factory 2 in a given time. Factory 1 is known to produce 2% defective and factory 2 produce 1% defective. A car is examined and found to be defective. What is the probability that the car was produced by factory 1?

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

A: In this question we will be using Poisson distribution.  It is given that the restaurant can expect…

Q: A grade school boy has six blue and five white marbles in his left pocket and five blue and six…

A: Probability of drawing a blue marble from left pocket is = 6/11 Probability of drawing a white…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 7 seeds are planted,…

A:

Q: In the first quarter of​ 2013, company A held approximately 76% of the wireless phone market in a​…

A:

Q: the crusty pizza company has determined that 35% of their customers get thin crust pizza. Of the…

A:

Q: When Susan and Jessica play a card game, Susan wins 60% of the time. If they play 9 games, what is…

A: We will use binomial distribution for this problem For every trial  For Jessica ;  probability for…

Q: Aggregates for the construction of a reinforced concrete building are supplied by two companies (A,…

A: Given that orders for company A to deliver 600 truckloads a day and 400 truckloads a day for company…

Q: A physical therapist at Enormous State University knows that the football team will play 40 percent…

A: Let the probability of injury if he playing on grass is = x So, the probability of injury on turf is…

Q: The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility…

A: (1). Compute the probability that the boat dock will be idle: The arrivals follow a Poisson…

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 12 seeds are planted,…

A: 60% chance of growing into a healthy plant i.e. Probability(grow) = 0.60 Probability(doesn't grow) =…

Q: If a seed is planted, it has a 85% chance of growing into a healthy plant. If 8 seeds are planted,…

A: Let X be the random variable such that the number of seeds planted will grows into a healthy plant.…

Q: An oil company has determined that the probability of finding oil at a particular drilling operation…

A: Let p be the probability of finding oil at perticular drilling operations.  Given p=0.20  Let X be…

Q: Finally expected loss

A:

Q: four sections of economics are taught during the day and two sections are taught at night. 90…

A: Let E1 denote denote the sections taught during day  and E2 denote the sections taught at night.…

Q: A supplier has 200 compact discs,of which 10% are known to be defective. If a music store purchases…

A: 10% of 200 discs are defective.  So, 10% of 200=0.10x200=20 20 discs are defective and (200-20)=180…

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 6 seeds are planted,…

A: Let X= the number of seeds that grow into a healthy plant n=number of trials=6 p=probability of…

Q: If two coins are tossed at once, what is the probability of getting only one head?

A: Probability of an event is the ratio of number of favourable outcomes to total number of possible…

Q: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

Q: 3. YO-Magic! Bakery receives on average 13 take-out orders of their best-selling cheesecake in one…

A: Given that, YO-Magic! Bakery receives on average 13 take-out orders of their best-selling cheesecake…

Q: A gambler states that the probability of getting a "1" and a "2" when rolling two four-sided dice is…

A: here two 4 sided dice are rolled

Q: On average, Connor has noticed that 7 trains pass by his house daily (24 hours) on nearby train…

A:

Q: If a seed is planted, it has a 65% chance of growing into a healthy plant. If 12 seeds are planted,…

A: From the provided information, Chance of growing a seed into healthy plant = 65% That is p = 0.65…

Q: If an event has a 1/50 chance of occurring, what is the probability that the event will occur three…

A:

Q: On any given work day, Lillian notices that as she’s driving to school, she is first stopped by a…

A: Let T denote Train and R denote Red light. Given: PR=0.70PT=0.40 Stopped by red light and train are…

Q: Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If the chance of rain on Sunday increases to 50% if it rains on Saturday, suppose you were away on…

A: e. P(rain on Saturday) = 0.60 P(no rain on Saturday) = 1 - 0.60 = 0.40 P(rain on Sunday | rain on…

Q: In a mountain area where mines have to be tested for the emission of pollutants, 32% of all mines…

A: See the handwritten solution

Q: Chris buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 7 sugar…

A: There are total (9+5+7+8)=29 cookies in the bag.  Since she is eating the first cookie so this event…

Q: A contractor is planning the acquisition of construction equipment, including bulldozers, needed for…

A: The given question has been solved using one approach in the example itself. We will now understand…

Q: In a particular pain clinic, 10% of patients are prescribed narcotic pain killers. Overall, five…

A: Given A =prescribed pain pills B =Addicted to narcotis

Q: If we roll three six-sixed dice, what's the probability that their sum is even?

A: Further counting arguments can be used to find the number of ways of forming the other sums. The…

Q: What is the probability that a batch of serum survives the first departmental inspection but is…

A: A manufacturer of a COVID-19 vaccine is concerned about the quality of its flu serum. Batches of…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 11 seeds are planted,…

A:

Q: If you flip three fair coins, what is the probability that you'll get all three heads?

A: Given that,Three fair coins are tossed.

Q: A large national study finds that 10% of pregnant women deliver prematurely. A local obstetrician is…

A: As per bartleby guidelines only 3 subparts are answered, please upload the rest separately. It is…

Q: Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at…

A: Total number of students = 25Number of students uses library atleast twice aweek =18

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 9 seeds are planted,…

A:

Q: It has been found from experience that there is an average of five faults per 50 metres of cloth…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: Kareem Abdul Jabbar and Larry Bird are very different when it comes to making free throws.  A sports…

A:

Q: If a seed is planted, it has a 65% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given: P( chance a seed grows into a healthy plant) = 0.65 n = 10

Q: At a local​ college, four sections of economics are taught during the day and two sections are…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: A physical therapist at Enormous State University knows that the football team will play 40 percent…

A:

Q: City Parking Systems, Inc., operates a parking garage in a downtown area. During the rush hour, cars…

A:

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Let "X" be the planted seeds that don't grow.

Q: If a seed is planted, and it has 75% chance of growing into a healthy plant and if 6 seeds are…

A: Given, p=75%=0.75 (Grow as healthy plant) q=1-p=0.25   If n=6 P(X=3) dont grow =?

Q: In the world of competitive tic-tac-toe, Morris Brown and Jessica Smith are considered two of the…

A: Given: Morris is winning 4 major tournaments a year λ=4 per year Jessica is winning 4 major…

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.