040. If the probability is 0.05 that a certain wide-flange column will fill under a given axial Joad. What is the probability that among 16 such columns, (1) At most two will fail (ii) At least four will fail?

Q: 1) A box containing a group of balls (blue and red) totaling 25 balls. If nother Five blue balls are…

A: Topic:- probability

Q: Suppose that 2 balls are randomly selected from an urn containing 3 red, 4 blue, and 5 white balls.…

A: Given: 3 red, 4 blue, and 5 white balls X= number of red balls Y= number of white balls n = 2

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: From the Gaussian error curve, what is the probability that a result from population lies between -o…

A: We want to find P(mu-sigma<X<mu-3sigma)= ?

Q: The manufacturer of a fertilizer guarantees that, with the ald of the fertilizer, 75% of planted…

A: P =0.75      9=1-p    =1-0.75     =0.25n=7x= No.of selected corret manufacture.p(X=x) =ncx  .  px…

Q: A computer disk storage device has ten concentric tracks,numbered 1, 2,…, 10 from outermost to…

A: The conditional probability that the arm is on track i is, p(X=j)=∑i=110p(X=j|arm on i).p(arm on…

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted…

A: From the provided information, Sample size (n) = 9 80% of planted seeds will germinate that is (p) =…

Q: n points are scattered at random independentlly of oneanother inside a sphere of r. • What will be…

A: Let A be the sphere of radius R and B be the sphere of radius r. Volume of sphere A is: 4πR33 Volume…

Q: A die is loaded in such a way that the probability of the face with j dots turning up is…

A: Given A die is loaded in such a way that the probability of the face with j dots turning up is…

Q: Suppose that the current positivity rate for a certain disease in a population is 2%. We decide to…

A: Given that, p= 0.02 So q= 1-p= 1-0.02= 0.98 And sample size, n= 12 So X~binomial(12,0.02)

Q: Find the probability of choosing two numbers from 0 to 1 such that sum of their square is less than…

A: Formula: Probabolity=(no of  possible out come/Total no of out come)

Q: N points are scattered at random independently of one another inside a sphere of radius R. •  What…

A: Answer for sub question 1: Let A be the sphere of radius R and B be the sphere of radius r. Volume…

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3 kg. Suppose…

A: Let x be the weight of the new born fawn. It is given that x follows uniform distribution,…

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 65% of planted…

A: Given that

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 70% of planted…

A: From the given information, there are 6 seeds planted with the fertilizer and the percentage of…

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 70% of planted…

A: Given: sample n = 9 p= success=70% planted seeds will germinate =0.7 q=1-p=0.3 x=more than 6 seeds…

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 70% of planted…

A:

Q: Suppose a particle moves along tje x-axis beginning at 0. It moves one integer step to the left or…

A: Note is that certain positions will be vacant at each row level. Odd numbered rows have 0’s in even…

Q: The probability that A will solve a problem is 1 and that B will solve is What is the probability…

A: Introduction :

Q: What do the functions Y LY, Y look like? Are there any maximum or minimum probability at any…

A: By the functions Y1,1 , Y1,0 , Y1,-1. Y1,1=-38πsinθeiφ The probability density is:…

Q: A die is loaded in such a way that each odd number is twice as likely to occur as each even number.…

A:

Q: IF X and Y ae random Weriables whose joint denjity funchion f is given as 6thernise Compute the…

A:

Q: A water quality parameter monitored in a lake is normally dist. With u=24.3. It is also known that…

A: Let X be the random variable from normal distribution with mean (μ) = 24.6, and X = 17.6 Then,  We…

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 65% of planted…

A: Given that manufacturer claim that 65% of the planted seeds will germinate  then probability of…

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 70% of planted…

A:

Q: For a given electronic component, it has been shown that it is necessary to restart once every 250…

A: INTRODUCTION:  Definition: Conditional Probability  suppose A and B are any two events. the…

Q: The numbers x and y are chosen at random from a circle of radius 6. What is the probability that x +…

A: Probability = Area under interest/ total area Where Area under interest = shaded area Total area =…

Q: Amrita flips a biased coin repeatedly until she observes that both a head and a tail appear. The…

A: The probability distribution of N will be a geometric distribution. The smallest value of N will be…

Q: 4.30 What is the probability that among 10 true hyperten- sives at least 50% are being treated…

A: 4.30) It is known that the number of trails, n, is 10. The probability that a hypertensive is being…

Q: nd the probability that the average length of a randomly selected bundle of steel rods is less than…

A: Given, μ=112.8σ=1.2 n=25

Q: If the event is a number '5' tuming in rolling a die, simulate rolling a die for 100O times with…

A:

Q: In the manufacturing of a commercial carpet, small faults occur at random in the carpet at an…

A: Given: λ=0.8 per 20m2 We have selected 100m2. Thus the value of λ will be as follows: λ=0.8*5  =4…

Q: A metal rod of length L and a sphere of radius R are to be joined to form a small automobile part. L…

A: EL=2    VR=0.052     ER=0.5     VR=0.052     VL=0.12   Since L and R are normally…

Q: A cloth manufacturer knows that faults occur randomly in the production process at a rate of 3.8…

A:

Q: Suppose the time it takes a data collection operator to fill out an electronic form for a database…

A: Obtain the probability that a person takes less than 4 minutes to fill out an electronic form.   The…

Q: If the number of minutes that a doctor spends with a patient is a random variable having an…

A: Poisson is a discrete probability distribution and it provides a realistic model for any random…

Q: A surface has infinite parallel lines at distance d from adjacent lines. We have a needle of length…

A: As given that a surface has infinite parallel lines at distance d from adjacent lines and a needle…

Q: If Xo = 1, what is the probability that in exactly two steps after starting (i.e., at n -2) the…

A:

Q: Studies show that some people who are fully vaccinated against COVID-19 will still get sick. Suppose…

A: A discrete random variable X is said to follow Poisson distribution with parameter, if it’s…

Q: 6) Calculate the probability that a particle in a 1-D box of length L is found between 0.18L and…

A: To Determine :-  The probability that a particle in a 1-D box of length L is found between 0.18L…

Q: suppose that two radioactive particles are in a box. the expected time for each to decay is 5 hours.…

A: The expected time for each to decay is 5 hours.

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: According to a recent report, 46% of the population has a particular medical condition. In a random…

A: Given, p=0.46n=210p^=0.439

Q: The first four moments about the mean, are 0, 8, -144 and 14817 calculate the skewness based on…

A: Given information μ1=0 μ2=8 μ3=-144 μ4=14817

Q: A hexagonal cell within a seven-cell system has a radius of 1.425 km. A total of 119 channels are…

A:

Q: Assume the flying height of an airplane is a Gaussian Random variable X with ax = 5000 m and ay-2000…

A: We have given that,  Let X be the Gaussian Random variable from normal distribution with mean (μx) =…

Q: The probability that a randomly chosen filter is more than 20.2 micrometer thick is (Answer should…

A: Let  X be the random variable such that the thickness of the multilayered filter. As given, the…

Q: According to some law in genetics, when certain types of peas are crossed, the probability that the…

A: