Q1: Suppose that are have a fuse box, containing 20 fuses of which 5 are defective. If 2 fuses are selected at random and removed from the box in succession without replacing the first. What is the probability that both fuses are defective?

Q: Out of 350350 applicants for a job, 162162 are female and 5656 are female and have a graduate…

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Q: Find the probability of at least 2 female visitors in 17 visitors to Mt. Rainier National Park.…

A: The provided information are: Probability of success (p) = 0.5 Number of trials (n) = 17

Q: A truth serum has the property that 93% of the guilty suspects are properly judged while, of course,…

A: Given Information: 93% of the guilty suspects are properly judged 7% of the guilty suspects are…

Q: n. it is known that of the inmates are under 25 years of age. It is also known that of the inr f age…

A: *Answer: Here the data of the prisoners is given. The data is represented as below,   Male Female…

Q: A man is dealt 4 spade cards from an ordinary pack of 52 cards. If he is given three more cards,…

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Q: 3. In a best-of-seven basketball final match, what isthe probability thát the series will last 4 or…

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Q: In a certain process, the probability of producing a defective component is 0.07. a) In a sample of…

A: (a)   The probability that fewer than 20 of the components are defective is 0.7323 and it is…

Q: Q12. In a certain college with 500 students, assume 315 like coffee, 217 like tea and 154 like both…

A: Let X represents Coffee, Y represents Tea P(X) = 315 500 P(Y) = 217500PX∩Y=154500

Q: A factory received a shipment of 10 hammers, and the vendor who sold the items knows there are 2…

A: Given Information: A factory received a shipment of 10 hammers, and the vendor who sold the items…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: Probability is a branch of mathematics or statistics that is basically deals with the probability of…

Q: If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a…

A: Given: Proportion if defective bulb =0.03 Number of bulbs (n) =100 In this question we will use…

Q: There are 6 passengers on the bus, and there are 6 remaining stops before the end of the route.…

A: Given that: Total number of passengers on the bus = 6 And there are 6 remaining stops before the end…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: The given probability that he is stopped by each of the three traffic lights. The probabilities are…

Q: Based on a survey, assume that 58% of consumers are comfortable having drones deliver their purchase…

A: Given, P(comfortable having drones deliver their purchases) = 58%= 0.58 Multiplication rule for…

Q: A retailer purchases 100 of a new brand DVD players of which 2 are defective. The purchase agreement…

A: Given: N=100 x=2 n=5

Q: Q2: Box 1 contains 30 red and 70 white balls, box 2 contains 50 red and 50 white balls, and box 3…

A: The probability that an even Ai (i=1(1)n) will occur given that a event B has already occurred is…

Q: The recent survey conducted in a certain village suggests that 41.26% of all residents are…

A: Solution: Given that the probability that a resident is self-employed is 0.4126 and it is denoted by…

Q: A factory received a shipment of 15 sprockets, and the vendor who sold the items knows there are 7…

A: Let X= number of defective items.    a) We have to find P(X=6) If 6 items are defective then we can…

Q: The yacht engines fail with probability equal to 0.3. Assuming that a yacht makes a safe trip if at…

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Q: ch that 34% of the girls have a blood type O an elected from this group, find the probability

A: E1: Girls   P(E1) = 0.75 E2: Boys   P(E2) = 0.25 A: Blood type o P(A|E1) = 0.34 P(A|E2) = 0.11

Q: In a large population, 62 % of the people have been vaccinated. If 4 people are randomly selected,…

A: It is given that p=0.62 and n=4.

Q: A farmer has a box containing 30 eggs, 5 of which have blood spots. He checks egs taking them at…

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Q: Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms…

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Q: In a shooting game, two players shoot at a target at the same time. Suppose person A hits the target…

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Q: factory received a shipment of 14 flanges, and the vendor who sold the items knows there are 7…

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

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

Q: Suppose that on each play of the game a gambler either wins $1 with probability p = or loses $1 with…

A: According to the given problem, Gain=$1Probability of gain, p=23Loss=$1Probability of loss, q=13 a)…

Q: Q3: A box contains 12 red balls, 9 black balls, and 5 white balls. If you pulled four balls in a row…

A: Given : Number of red balls = 12 Number of black balls =9 Number of white balls =5 Total number of…

Q: r or every 10 car accidents that happen in the Winter, 8 happen on snowy days and 2 happen on…

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Q: Tony is awaiting a delivery, but needs to jump in the shower. If the delivery is to come anytime…

A: The uniform distribution is, fx=1b-a      x∈a,b The random variable X is defined as delivery time.…

Q: A factory received a shipment of 11 capacitors, and the vendor who sold the items knows there are 3…

A: Introduction: Suppose X is the number of defective capacitors in the sample. It can be assumed that…

Q: If 2% of electric bulbs manufactured by a certain company are defective. Find the probability that…

A: Solution-: We find, (i) P(less than 2 bulbs are defective)=? (ii) P(more than 3 bulbs are…

Q: A driver is eagerly eyeing a precious parking space some distance down the street. There are three…

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Q: 8) The owner of a car wash shop noticed that on normal days there are 4 cars that enter the shop at…

A: The following information has been given: It is given that 4 cars enters a shop in one hour ( 60…

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

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Q: (c) number of pips on the top face for the first roll is 2, what is the probability that the sum of…

A: c. From the given information, the die is rolled twice. The results are independent. Given that the…

Q: At an electronics plant, it is known from past expe-rience that the probability is 0.84 that a new…

A: Given ,         Probability of new worker + attened training meet           quota = 0.84…

Q: If 1 day of the week is chosen at random to be Mary's day to mow the lawn, what is the probability…

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Q: The average number of phone calls per minute into the switch board of a company between 10.00 am and…

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Q: 2. During the observation period, it was observed that on the average, the number of simple garments…

A: Given information: During the observation period, Total no. of garments completed per day=10 The…

Q: B. Factory that produces bulbs and pack them in boxes of (300), if the probability that the bulbs…

A: Here we apply binomial distribution.

Q: Based on a survey, assume that 33% of consumers are comfortable having drones deliver their…

A: Given that, The probability of consumers being comfortable having drones is 0.33 The probability of…

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

A:

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: Given ,      The probability of defective capacitors = 815     i.e P = 815 = 0.533a) ut 'x' be the…

Q: Q4. A shipment of two boxes, each containing eight telephones, is received by a store. Box 1…

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Q: Ql: Suppose that are have a fuse box, containing 20 fuses of which 5 are defective. If 2 fuses are…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: Given, A factory received total 15 capacitors In that there are 8 capacitors are defective

Q: Q3: A box contains 12 red balls, 9 black balls, and 5 white balls. If you pulled four balls in a row…

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Q: 3. The probability that Vittorio waited less than 5 minutes, given he is not at the bus stop after…

A: Given that, Ugo and Vittorio arrive at the bus stop and wait for two different buses. U and V be the…

Q: When a die is rolled twice, what is the probability that the 1st first throw will be a 3 and the 2nd…

A: Here  die is rolled twice Here by rolling die once  there are  1,2......6 outcomes are possible…

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.