You roll a fair 8-sided die repeatedly until you roll a 7, at which point you stop. Let En be the event that this process stops after exactly n rolls.(a) What is the probability that the process stops after exactly 4 rolls, that is P(E4)?(b) What is the probability there are at most three rolls? (c) What is the probability the number of rolls is odd?

Q: One student is selected at random. What is the probability that the student is i. from IT? i.…

A: Note : According to our guidilnes we are solving only first three sub parts of a question and the…

Q: The risk of hepatoma among alcoholics without cirrhosis of the liver is 24%. Suppose we observe 7…

A: From the given information p = 0.24 and n = 7.

Q: A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011.…

A: d. From the given information, the probability is 0.000011 and the number of children is 19,809.…

Q: What is the probability that 1 is a fire injured person? b) What is the probability that more than 1…

A: This is a case of Binomial probability full binomial probability formula with the binomial…

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

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: 67% of American adults eat at a table-service restaurant at least once a week. Suppose that 7…

A:

Q: estion 10. In 2002, a group of medical researchers reported that on average, 30 out of every 10,000…

A: Define the following events. A : randomly selected person have colorectal cancer. B : randomly…

Q: b. A life insurance salesman sells on average 4 life insurance policies per week. i. Find the…

A:

Q: A supervisor at an electric bulb factory examines bulbs produced in the factory for defects. She…

A: Given problem is poisson distribution Let X: defective bulbs 14 defective bulbs in a week 1 weak = 7…

Q: It is known that a particular machine produces 90% non-defective electrical components. A box of 100…

A: It is given that a box contains 100 items. So, the box is rejected, if 16 or more (not less than…

Q: Consider an experiment of rolli: ollowing two events are indepe • Probability that the sum •…

A: The number of rolled dice are 3.

Q: It is known that a particular machine produces 90% non-defective electrical components. A box of 100…

A: We have to find probability from z table.

Q: A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 2424 times,…

A: The provided information is  n=24 x=19 The binomial probability is  P(X=x)=(xn)*px*(1-p)n-x Here,…

Q: What is the probability of the following. (a) An event A that is certain to occur?

A: Probability of an event is the chance of occurrence of that event. For an event A the probability is…

Q: Silicon wafers are used in the manufacture of integrated circuits. Of the wafers manufactured by a…

A: a. The silicon wafers are used in the manufacture of integrated circuits. In the wafers manufactured…

Q: A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it is repaired the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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

A:

Q: A biologist is studying a new hybrid tomato. It is known that the seeds of this hybrid tomato have…

A: Total number of seed plants are 6. The probability of germinate of plant is 0.70

Q: A particularly long traffic light on your morning commute is green 20% of the time that you approach…

A:

Q: A particularly long traffic light on your morning commute is 20% of the time that you approach it.…

A: Given: p=20%=0.20

Q: 5. A cinema sells tickets for the opening of "Spider-Man: No Way Home" with 50 seats. From…

A: Given: x=  50 seats n = 55 The cinema knows that there is a 10% chance that a buyer of a ticket will…

Q: If the president is interested in maximizing the expected value of her firm's gain, should she…

A:

Q: A large clinic knows from experience that around 10% of patients fail to show up for routine blood…

A: Obtain the probability that up to 25 patients do not turn up each week. The probability that up to…

Q: On graduation day at a large university, one graduate is selected at random. Let A represent the…

A: From given information, A represent the event that the student is engineering major, and let B…

Q: From past experience, cycling’s drug testing body has found that 2% of professional cyclists have…

A: Given Information: 2% of professional cyclists have taken an illegal substance in the past 6 months…

Q: The probability that a certain type of chip will fail after installation is 0.15. A memory board for…

A: Given, Let success be the chip will not fail after installation The probability that a certain type…

Q: 3.1% of people eat anchovies on their pizza.  You work at a pizza parlor and a new jar of anchovies…

A: Geometric distribution: The probability mass function of geometric distribution is, Given,…

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

A:

Q: Find the indicated probability. 12. In a blood testing procedure, blood samples from 5 people are…

A: ( 12 ) Given n =5, p =0.03 p(positive ) =?

Q: A box contains 11 large marbles and 14 small marbles. Each marble is either green or white. 5 of the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

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

A: Solution:

Q: Supposed that Stephen is the quality control supervisor for a food distribution company.  A shipment…

A: We have given that  Success of probability p =13%=0.13 Number of trials n=10 X~binomial ( n ,p)

Q: A company recruits 750 men under the age of 55. Suppose that 35% carry a marker on the male…

A: Givenp=0.35n=15x~Binomial(n=15,p=0.35)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1...,n

Q: A shipment of 5000 parts arrives where 0.5% of the parts are nonconforming. We randomly select 25…

A: Introduction: Denote X as the random variable representing the number of nonconforming parts in the…

Q: 1. There are 3 defective rolls out of 10 rolls of film in a box. Two rolls are to be selected for…

A:

Q: A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4…

A: Given,n=4p=12    (probability of selecting traditional students)q=1-12=12A random variable…

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: The ping pong ball manufacturing process produces defective ping pong balls at a rate of 1%. A…

A:

Q: 3. A box of candies has many different colors in it. There is a 15% chance of getting a pink candy.…

A: Solution

Q: Takealot orders in a certain area can either be delivered by Takealot or picked up by the customer…

A: We have given that  n=6 , p=40%=0.40 , q=1-0.40=0.60 X~Binomial(n=6, p=0.40)

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: 3. Aplinko game is composed of a board and a disc. The player drops the hits a series of pegs that…

A: Let the Buckets are named as A, B, C , D and E A $100 B $0 C $0 D $0 E $50

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: Three friends are tossing separate dices one time. What is the probability of getting three l's?…

A:

Q: A particularly long traffic light on your morning commute is green 20% of the time that you approach…

A: p = 0.2 n = 5 The probability that the light is green on exactly one day is given by ​​​​​​​

Q: A company collects beach water samples every day during the summer. A non-swimming advisory is…

A: Given: Number of years or trials (n) = 6 Probability of beach safe to swim (1 - p) = 0.975…

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,……

Q: 1) You roll a standard die 50 times. What is the probability that you roll a 3 at least 8% of the…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.