1. Two fair dice are rolled. (a) What is the probability the sum is 4? (b) What is the probability the smallest number showing will be a 2? (c) In 14,000 rolls of two dice, what is the expected number of times the sum will be 4?

Q: 19. Suppose mass-produced needles are packed in boxes of 1000. It is believed that 1 needle in 2000…

A:

Q: 3) What is the likelihood that you will get only one four with your roll of the two dice?

A: Obtain the likelihood of getting only one four in a roll of two dice.   The likelihood of getting…

Q: 9. Sixty percent of all road accidents are due to distracted driving. In a random sample of 400…

A: Given Data: n=400 p=0.6 Let X be the random variable of number of accidents. Using Central Limit…

Q: Two fair dice are tossed. a. What is the probability that the sum of the number of dots shown on the…

A: A fair dice is tossed then the possible outcomes are : {1,2,3,4,5,6} The probability of getting any…

Q: 14. Customers use an automatic teller machine at an average rate of 15 per hour. What is the…

A:

Q: Ten percent of the engines manufactured on an assembly line are defective. If engines are randomly…

A: Given information: 10% of the engines manufactured on an assembly line are defective. If engines are…

Q: 1.  What is the probability of rolling a pair of dice and obtaining a total score of 10 or more? 2.…

A: 1. The sample space of the 36 possible outcomes for a pair of fair dice is,

Q: 4) Suppose that 1 out of 50 cards in a scratch-and-win promotion gives a prize. a) What is the…

A: Given, Suppose that 1 out of 50 cards in a scratch-and-win promotion gives a prize. This follows…

Q: 6) If a balanced six-sided die is rolled 100 times and 3 comes up every time, what is the…

A: The sample space for the experiment of throwing a die consists of the numbers from 1 to 6.

Q: 17. What is the probability that a randomly selected person would be a Female ana had a Negative…

A: Provided information is, a market research study is being conducted to determine if a product…

Q: (a) what is the probability that the time between accidents is less than 2 weeks? (b) what is the…

A: here given, λ = 0.3 and for poisson process p(x=n)=e-λt(λt)nn!and for exponential diatribution p(T ≤…

Q: 4. Ten is the average number of oil tankers arriving each day at a certain port. The facilities at…

A: Given: The average number of oil tankers arriving each day at a certain port is 10. Let probability…

Q: 3) In Five Card Poker a player is dealt five cards Using a standard pack of cards, what is the…

A: In a deck of cards, there are total 52 cards 4 suits i.e. Diamond, heart, club and spade 13 cards in…

Q: . a. A batch of 50 parts contains six defects. If two parts are drawn randomly one at a time without…

A: Given : total = 50

Q: a. If the lot contains one defective LCD, what is the probability that you will accept the lot? b.…

A: Suppose you are purchasing small lots of LCDs for computer terminals. Since it is very costly to…

Q: Suppose that 2 fair dice are rolled and their sum is noted. What is the expected sum? Suppose you…

A: As you have posted 3 different questions, we are answering the first question. In case you require…

Q: 9) Two dice are rolled simultaneously. What is The probability that The two scores are different?

A: When we roll two die simulataneosuly, we get the following sample space as S=…

Q: A pair of fair dice is rolled. (a) What is the probability that the second die lands on a higher…

A: When rolling two dice, there are 36 different possibilities. of these possibilities, there are 15…

Q: a) What is the probability that at least 3 have conditions caused by outside factors? b) What is…

A: According to the answering guidelines, we can answer only 3 subparts of a question and the rest can…

Q: In rolling a six sided fair die.what is the theoretical probability of rolling an an even number…

A: Solution: Suppose a six sided die is rolled.

Q: 4. A shipment of 20 radios includes 6 radios that are defective. The receiver samples 5 radios at…

A: As the number of trials is independent and fixed with two possible outcomes, this is the case of…

Q: 4) An unfair coin, when tossed 7 times, has the same probability of obtaining 2 heads out of 7 as it…

A: Let us assumep=the probability that the coin lands on headn=sample size=7 X=the number of headsX…

Q: 1 In the game of roulette, a player can place a $7 bet on the number 13 and have a probability of…

A: The net payment if the ball does not land on 13 is -$7 while for winning the roulette the net gain…

Q: 3) The average number of cars sold by the Luxury Auto is three cars per day. (a) What is the…

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Q: 2-A card is drawn at random from a deck consisting of cards numbered 2 through 10. A player wins 1…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: 3) Suppose that among employed women, 25% have never been married. Suppose we randomly sample women…

A: Given that, among employed women, 25% have never been married p=0.25 We have to find probability…

Q: 3. An oil company conducts a geological survey that indicates an exploratory oil well should have a…

A: Given Information : An oil company conducts a geological survey that indicates an exploratory oil…

Q: 1. Two dice are tossed. What is the probability that the total score is a prime number greater than…

A:

Q: A fair 10-sided die is tossed. What is the probability that the numbers 9 or 7 or 2 are tossed?

A: We are given a 10-sided die.So first we need to find outcomes and their corresponding…

Q: 15. A football team scores on average 2.25 goals per game, what is the probability that the team…

A: Given that, A football team scores on average 2.25 goals per game. We need to find the probability…

Q: 8. Suppose you flip a coin. A. What is the probability that the coin will come up heads? B. What…

A: 8. When a coin is flipped the two possible outcomes are 'heads, tails'. A. The probability that coin…

Q: 16. What is the probability that a randomly selected male would have a Positive Reaction to this…

A: Given,   positive reaction neutral reaction negative reaction Male 310 200 150 Female 450 550…

Q: 3a. According to Statista, 37% of the Russian people are worried about the extent of poverty in…

A: Given that p =0.37 , n =10 Using binomial distribution

Q: 25. Suppose mass-produced needles are packed in boxes of 1000. It is believed that 1 needle in 2000…

A: A Poisson distribution is used to estimate the number of events occur in a given interval of time or…

Q: 6. A pair of fair dice is rolled. What is the probability of getting two different numbers on the…

A: Obtain the probability of getting two different numbers on two dice. The probability of getting two…

Q: In a southern state, it was revealed that 5% of all automobiles in the state did not pass…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1. In rolling two dice, what is the probability of landing same numbers?

A: Since you have posted multiple questions, we are answering the first one. if any doubt, kindly…

Q: a)What is the probability that 5 out of 2,000 randomly selected people will have this disease?…

A: The probability of people having Hepatitis-B disease is given by p = 4/1000 p = 0.0004

Q: 1. A coin is thrown three times. What is the probability that at least one head is obtained?

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Q: A machine produces items one by one and independently. It is considered that 10% of them are…

A: There are x failures preceding the first success follows the geometric distribution.It is given that…

Q: 4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this…

A: It is given that n = 12 and p =0.25.

Q: 1) What are mutually exclusive events? Explain why a difference in the probability occurs when…

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Q: What are complementary events? 2. If the subjective probability that it will rain is 45%, what is…

A: 1.   complementary events are opposite of normal event. For example If our event A is “it rains…

Q: 2. A fair six-sided die is tossed twice. What is the probability that a five will

A: From the given information, a dice rolled twice. The total sample space is, The size of the sample…

Q: 1. Suppose that 2 fair dice are rolled and their sum is noted. What is the expected sum?   2.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: a) What is the probability that the individual successfully rolled a 7 in less than 7 rolls? b) If…

A: Here given 2 dice are rolled  So Total number of outcomes = 6×6 = 36

Q: 3. A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are…

A: 3. (a) A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are…

Q: 16. Ten percent of the students at a certain college are non-resident. A reporter for the student…

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