Suppose a particle moves along tje x-axis beginning at 0. It moves one integer step to the left or right with equal probability. What is the probability function of its position after four steps?

Q: Based on a poll, 50% of adults believe in reincarnation. ASsume that 4 adults are randomly selected,…

A:

Q: Suppose, the walking speed of an elderly is no more than 6 km per hour. The walking speed, Y, in km…

A: Solution: From the given information,

Q: d) Calculate the 2nd moment with respect to the mean of this random variable.

A:

Q: If for a new cases of Covid-19 in India, Delhi is occurring at a rate of about 2 per month What's…

A: The Poisson distribution is used to calculate the probability of getting r number of…

Q: Suppose the time it takes Alex to do this exam is exponentially distributed with parameter 3 per…

A: Introduction to Exponential distribution: A random variable X is said to have a exponential…

Q: Find the probability that a patient selected at random has the following characteristics: a) Female.…

A: From the given information in the table,  Total number of female = 85 and Total number of the person…

Q: walks to the top of a hill and then walks down again. The time he takes to walk up the hill is…

A:

Q: A certain disease has an incident rate of .1%. If the negative rate is 5% and the flase positive…

A: Given: An incident rate of 0.1% negative rate is 5% positive rate is 4%  compute the probability…

Q: In an automated filling operation, when the process is run at slow speed, the probability of an…

A: Given that in an automated filling operation, when the process is run at slow speed, the probability…

Q: a. Compute the probability that neither line is busy more than half the time. b. Find the…

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Q: (a) Find the probability that among the next 5 theft cases reported in this district, exactly 2…

A: It is given that  The random variable X i.e, to buy drugs follows Binomial distribution with…

Q: It has been shown that the probability of a plane arriving on time at the Albany International…

A: Let us denote X= the number of planes which arrives on time at the Albany International Airport…

Q: 0.3e-0.3t dt. a

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Q: Suppose that vehicles taking a particular highway exit can turn right (R) , turn left (L), or go…

A: Given problem Given that

Q: o A robot executes a "random walk" in the following way: Each minute it takes a step north or south,…

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

Q: b) The time a data packet requires to arrives to its target destination is an exponential random…

A: The word probability comes from the word probable, meaning 'likely but uncertain'. Thus the…

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

A: Let the R.V X denotes the number of defective capacitors in the shipment and it follows the binomial…

Q: (a) Find the probability that a randomly selected toothbrush (of this type) has a lifespan of more…

A: Solution The given distribution is a continuous probability distribution function.

Q: An archer is able to hit the​ bull's-eye 59​% of the time. If she shoots 7 ​arrows, what is the…

A: Let the random variable X denote the no. of arrows hit the​bull’s-eye and it follows binomial…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 36% of all…

A: It is given that n=5 and p=0.36.

Q: Calculate each Poisson probability: (a) P(X= 2), λ = 0.10 (Round your answer to 7 decimal places.)…

A: The objective is to calculate Poisson probability for the given cases. Poisson formula: PX=x=e-λ…

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

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Q: Find the probability that a telephone call selected at random will last a. between 1 minute and 2…

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Q: Given an arrival process with λ = 5.0, what is the probability that an arrival occurs after t = 5…

A: Given an arrival process with λ = 5.0

Q: Calculate each Poisson probability: a. P(X = 6), A = 2 (Round your answer to 4 decimal places.)…

A: Given: a). X=6, λ=2b). X=9, λ=13c). X=6, λ=5

Q: Suppose that a person is waiting for an email. He knows that the email will arrive at a time…

A:

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: 2. The probability that both will catch the bus within 15 minutes, given they are still waiting…

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Q: In a restaurant, an average three out of every five customers will ask for plain water with their…

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Q: Assume that an environmentally transmitted disease is introduced to a community. The proportions of…

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Q: The Denver Post reported that, on average, a large shopping center had an incident of shoplifting…

A: Given, The Denver Post reported that, on average, a large shopping center had an incident of…

Q: ssume that 33.2​% of people have sleepwalked. Assume that in a random sample of 1454 ​adults, 523…

A: Given: The population proportion of people who sleepwalked, P = 0.332            Sample size, n =…

Q: Show that the Cauchy probability distribution does not have the first moment that is, E(X) does not…

A: The objective is to show the first moment does not exist for cauchy distribution

Q: It has been shown that the probability of a plane arriving on time at the Albany International…

A: Let us denote X= the number of planes which arrives on time at the Albany International Airport…

Q: A certain mass of Uranium-235 emits radioactive particles at a rate of 20 disintegrations per…

A: Solution

Q: d. Assume that Google has designed its servers so there is probability 0.01 that the number of…

A: It is given that the mean is 2,800 and standard deviation is 860.

Q: Suppose that start companies in chemistry have the probability 0.2 of profitability and that those…

A: Let A denote the event that a chemistry company becomes profitable.  Let B denote the event that an…

Q: Based on a poll, 60% of adults believe in reincanation. Assume that 4 adults are randomly selected,…

A: Givenp=0.60n=4x~Binomial(n=4,p=0.60)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,...,n

Q: Given an arrival process with λ = 5.0, what is the probability that an arrival occurs after t = 7…

A: Assuming the arrival follows Poisson distribution. The inter arrival times will be exponentially…

Q: A bus company is interested in the wait time of its passengers 8:00 AM and 8:00 PM. Suppose that the…

A: Given that the waiting time follows Uniform distribution with minimum wait time one minute and…

Q: Based on a poll, 40% of adults believe in reincarnation. Assume that 4 adults are randomly selected,…

A: Given P=0.40

Q: (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than…

A:

Q: Find the probability that a 4 is obtained on one of the dice in a throw of rwo dice, given that the…

A:

Q: An agriculturist wants to find out the probability of growing trees more than 50 years. Given that u…

A: It is given that the mean is 30 and the standard deviation is 20.

Q: A study conducted at a certain college shows that 54% of the school's graduates move to a different…

A: Let "X" be the school graduates who move to a different city.

Q: During the 2015-2016 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting…

A: Given that  The probability of Jodie Meeks makes any given free throw is fixed at 0.906 P(F) = 0.906…

Q: Suppose the probability that a basketball player hits a basket on a free throw is 0.91, and that the…

A: We have to find correct answer..

Q: Suppose that the average time a fully charged 6-volt laptop battery will operate a computer is 3.5…

A: Given information- Average time = 3.5 hours Since it is given that average time a fully charged…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 55% of all…

A: We have, the probability of success p=0.55. The number of trials are n=5