(a) What is the probability that a package is returned? (b) If someone buys 3 packages, what is the probability that exactly 1 of them is returned?

Q: IV. PROBABILITY A. A Coin and a Die are tossed together, what is the Probability that a Head e on…

A: Given data: Two cards are drawn successively from a deck of 52 cards, To find: what is the…

Q: Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways. -Suppose…

A: Note: The sentence in the question “If the agent takes minutes to complete the current call, how…

Q: 3. In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5…

A: NOTE: As per the policy I can solve only first question, Please repost the remaining question…

Q: What is the probability that both of the selected students received a grade of A

A: Given, Total students = 10 Students received an A on the last examination = 5 Let n be the total no.…

Q: True or False In a probability model, the sum of allprobabilities is 1.

A: Given In a probability model, the sum of allprobabilities is 1.

Q: Caselet 3: Trailer Trucks in SRP The average number of trailer trucks that passed by the South Road…

A:

Q: A life insurance salesman sells on the average 10 life insurance policies per week. i) What is the…

A: i) The random variable X is defined as the number of policies sold. The variable X has Poisson…

Q: 1. The probability of an event not occurring is 0.27. What is the probability of the event…

A:

Q: Which of the following is NOT right about the probability?

A: The probability of an event refers to the likelihood that the particular event will occur.  The…

Q: True or False The probability of a chance event is a number between 0 and 1.

A: The probability lies between 0 and 1.

Q: Example 3: Ryan lives in a city where there is a 30% chance of rain every single day of the year…

A: Each days are independent to get rain or no rain. (a) So, P[rain both days]=P[rain on day 1]×P[rain…

Q: An established sewing corporation purchases a certain kind of sewing device from a manufacturer. ...…

A: Givendefective rate of the device(p)=0.03sample size(n)=20Let "x"be the defective…

Q: a. What is the probability that the student is in proper uniform? b. A female student is picked at…

A:

Q: Taxis arrive at Mall of Asia at the rate of 10 per hour a. What is the probability that exactly 5…

A:

Q: In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 6…

A: Given that, In an M/MA queueing system, the arrival rate is 3 customers per hour and the service…

Q: A pump has a failure, on the average, once in every 5,000 hours of operations. What is the…

A:

Q: 2. The probability that a rifleman hitting the target is 40%. Suppose he fires 8 times, what is the…

A:

Q: a. What is the probability that a randomly chosen student has an outstanding debt of $20,000 or…

A: From given data: Debt <10 10 to <20 20 to <30 30 to <40 40 to  <50 ≥50…

Q: a. What is the probability that the demand for gasoline in a given week is more than 500 gallons? b.…

A:

Q: Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for…

A: Given Information: An airline sells 125 tickets for a flight that holds only 120 passengers. The…

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 barber shop is willing to provide a full refund for customers who are not satisfied with the…

A: Givenp=0.20n=10x~Binomial(n=10,p=0.20)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,....,n

Q: #17) On Monday 60% of the stocks on the Nasdaq increased in value. A club owns 20 stocks in the…

A:

Q: What is the probability that the city will be hit by a tornado next year?

A: Studies show that historically a certain city is hit by a tornado about once every 5 years. so here…

Q: A piggy bank contains a mix of 60 pieces of nickels and 60 pieces of 25-centavo coins. The two kinds…

A: Given data :  Total number of coins = 120  Number of nickels = 60  Number of 25-centavo coins = 60

Q: 4 out of 100 televisions in stock are defective. If you select two television la at random, find the…

A: It is given that the 4 out of 100 televisions are defective.

Q: In an M/MA queueing system, the arrival rate is 9 customers per hour and the service rate is 14…

A:

Q: (a) What is the probability of shortage of material in any day? Shortage occurs whenever the…

A:

Q: A coin is tossed three times. (a) What is the probability that the coin will land tails at least…

A: Solution:

Q: In a game of cards, a player draws a hand of five cards from a standard deck. What is the…

A: Total cards in a standard deck = 52 Total hearts in a deck = 13

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

A: Given: Average rate, λ=12

Q: A company makes a profit each month with probability .7. What is the probability that it makes a…

A: From the provided information, Company makes a profit each month with probability 0.7 that is p =…

Q: Example 2. If an ordinary coin is spinned three times what is the probability of obtaining atleast…

A: Answer:

Q: Discrete Probability: Each person in a class of 15 students was asked to secretly write down their…

A: Given, Each person in a class of 15 students was asked to secretly write down their choice of a card…

Q: A wholesaler has purchased electronic parts from a supplier for several years and has found that 10%…

A: Formula : Binomial distribution is given by

Q: Box-1 contains 6 white and 3 green balls and Box-2 contains 1 white and 2 green balls. One box is…

A: Reviewing information, Given, Box 1 contains 6 white & 3 green balls Box 2 contains 1 white…

Q: what is the probability that it lands heads at least once?

A: Given : P(Head)=0.6 Therefore, P(Tail)=1-P(Head)=1-0.6=0.4 Our aim is to find the probability that…

Q: What is the probability that the student got an A grade or is Female?  i. Given that the student is…

A: We have given that the information in cross tabulation form. The total number of students = 150

Q: The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the…

A: Average number of births per day is 57. It follows Poisson distribution:

Q: An unfair coin has probability 3% of coming up Heads. This coin is flipped 3 times. What is the…

A:

Q: The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the…

A:

Q: An allergist claims that 50% of his patients suffer from some type of allergy. a) What is the…

A: Given : An allergist claims that 50% of his patients suffer from some type of allergy.  Let A…

Q: 1.You play a game with your friend where your probability of winning is 5%. If you play the game 50…

A:

Q: i. What is the probability that a randomly selected subscription expiring at the end of the year was…

A: Here define events and draw probability tree  Here use Bayes rule and basic probability rule

Q: what is the probability that a randomly selected college student has neither a dog nor HBO?

A: Given p(students with dogs )=0.12 P(students with Hbo subscription )=0.28 P(students with neither a…

Q: Births in the United States In the United States, the true probability of a baby being a boy is…

A: Given:Probability of baby being a boy = 0.512Number of births selected n = 5We have to find…

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: 0.3 of landing heads. The coin is tossed six times. What is the probability that it lands heads at…

A: Given, p=0.3 q=1-P=1-0.3=0.7 n=6 Binomial Probability distribution  P(X=x)=n!x!(n-x)!px(1-p)n-x

Q: 5. On average, there are 2 car thefts every 10 square kilometers during the course of a month in…

A: 5. a. The Poisson probability distribution of random variable X is, PX=x=e-λλxx!;         x=0,1,2,……