Consider a cluster of three cells. The traffic offered to each individual cell is, 40 Erlangs, 50 Erlangs, and 80 Erlangs, respectively. With fixed uniform channel allocation and designated blocking probability of 0.01, what is the total number of channel needed in this cluster?

Q: at a local school, 90% of the students took the test A and 15% of the students took both test A and ...

A: Given: P(A and B)=0.15P(A)=0.90

Q: Among the students of AUCA, 80% are involved in different projects. Find the mean and the standard d...

A:

Q: James and Harry play baseball and each of them can score one goal with the probabilities of 0.4 and ...

A: James and Harry play baseball and each of them can score one goal with the probabilitiesof 0.4 and 0...

Q: Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ...

A: Excel function to find probabilities of standard normal distribution is ,  "=NORMSDIST(z)"  

Q: Two dice are rolled, and the events F and T are as follows: F= {The sum of the dice is four} and T =...

A: It is known that Total possible outcomes in rolling two dice = 36 Possible outcomes for event F = {(...

Q: Mr. Lang has 11 polo shirts and 3 is green. Mr. Norman has 8 polo shirts and 1 are green. Mr. Thomas...

A: Given -    Mr. Lang has 11 polo shirts and 3 is green    Mr. Norman has 8 polo shirts and 1 is green...

Q: License tag consists of 3 letters followed by 4 digits. How many tags are possible if no letters can...

A:

Q: Thất Fender-Bender ?"t reported that 7 in 10 auto accidents involve a single vehicle. Suppose 15 acc...

A: Given that n =15 , p =0.7 Find the probabilities  given in ( a)(b) and ( c)

Q: Find P(saving patient)

A: here as per guidelines i have calculated first main question kindly repost remaining with note i nee...

Q: A candy dish contains nine brown and four red M&Ms. A child selects four M&Ms without checking the c...

A:

Q: A parabolic satellite dish reflects signals to the dish's focal point. An antenna designer analyzed ...

A: A antenna designer analyzed signals transmitted to a satellite dish and obtained the probability den...

Q: 5. The time between two consecutive emails to your professor's inbox follows an exponential distribu...

A: Given  X~exp(1/5)  Mean=5 

Q: A random variable Y have a distribution with parameter a > 0 and Yo > 0 it its dens function is give...

A: Solution

Q: III. The spinner below is divided into eight sections. Let X be the score where the arrow will stop ...

A: We have given that the spinner divided into 8 sections. The numbers on the spinner are 1, 2, 3 and 4...

Q: 15. When two dice is tossed, what is the probability of getting a sum of 32 A. 1/10 В. 1/11 C. 1/18 ...

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only fi...

Q: An automobile dealer has kept records on the customers who visited his showroom. Forty percent of th...

A: For the given data Find ( a ) and ( b )

Q: A box contains 20 DVDs, 4 of which are defective. If two DVDs are selected at random (without replac...

A: Given,no.of defective DVDs=4no.of good DVDs=16Total no.of DVDs=20

Q: In how many ways can a committee of not more than 3 representatives be selected from a group of 16 r...

A:

Q: ort the candidate out of 100 asked, we estimate the support at 70% or 0.7. Su pports a candidate is ...

A: *Answer:             

Q: Using an illustration, explain the concept of betting odds

A:

Q: Evaluate P( 7, 4) 840 804 540 480

A: We have nPr = n!(n-r)! nCr = n!r!*(n-r)!  

Q: The delivery time of a shipment from a supplier to a retailer is exponentially distributed with mean...

A: Let X be the dilevery time of a shipment to a retailer  Given x~exp(1/7)    

Q: Among 18 details manufactured by factory, 15 are standard. (A) If 4 details are chosen at random, wh...

A:

Q: I. Determine whether Symmetric or Asymmetric Distribution.

A: Here for symmetric distribution  Mean = Median = mode

Q: 9.Directions: A. Round up the following calculated sample size. 1.n- 507.49 2. n- 247.51 3. n 1, 276...

A: Given9)Givensample size(n)=507.49  

Q: Carbon monoxide (CO) concentrations are sampled at 20 intersections in heavy-traffic areas of a city...

A: Level of Significance is the probability of rejecting a null hypothesis when it is true. In other wo...

Q: Consider two events B and C, such that P(B) = 0.28, P(C) = 0.46, and P(Cn B) = 0.2, then P(C n B) is...

A:

Q: We observe a sample of size 2 for which X1 = 3 and X2 = 1. Compute the MLE for p if you know that p ...

A: The MLE is estimator which maximizes the likelihood function or log-likelihood function. So first we...

Q: A has four shares in a lottery in which there are four prizes and five blanks. B has three shares in...

A: Solution:

Q: What is the probability that the second card is an ace if the first card was an ace? E. What is the ...

A: It is known that Total number of cards in a deck = 52 Number of aces = 4

Q: 5. How many different wards can be formed with the letters of the word "SUPER' such that the vowels ...

A: The word SUPER contain 5 words  The vowels are U and E  Vowels come together so  S,P, R ( UE)  So th...

Q: Starting at a particular time, each car entering an intersection is observed to see whether it turns...

A: Random variable Y denotes the number of car observed.  There may be so many cars or no car which was...

Q: 1.) In a binomial experiment, the probability of success in each trial is 0.45, and 30 trials are pe...

A: We have given that  Number of trials n=30 Success of probability p =0.45 q=1-p X~binomial ( n,p)

Q: 2_The number of ways to distribute 7 games to three children so that the youngest child gets three g...

A: Here Given  Total number of games=7 And Youngest child gets 3 games Other 2 gets 2 games each...

Q: et {X;} be i.i.d.~ Exp(0) and a; > 0. Denote by Z = min{a,X1,...,a,X„}. Suppose hat = 0. i=1 Prove t...

A:

Q: 5 red and 2 black balls, each of different sizes, are randomly laid down in a row. Find the probabil...

A:

Q: From the given probability distribution, obtain CDF of X *

A: Here We show the table for Its CDF

Q: 7. 2 3 P(x) 15 15 3 4 5 P(x) 25 25 25 25 9. 3 4 P(x) 10 10 20 20 10. 3 4 5 P(x) 0.212 0.113 0.125 0....

A: Which is the discrete probability distribution

Q: The random variable x has a probability mass function given in the following table -5 -4 1 2 P(x) 1/...

A: Given data is  x -5 -4 1 2 P(x) 1/4 1/8 1/2 1/8  

Q: D. There are instances where system error occurs which greatly affects the mechanics of the game. In...

A: Given: It's given that 1 system error occurs in every 500 games

Q: how many arrangements can be made from the word "HEADSTRONG"

A: The given word is HEADSTRONG

Q: A club consists of 12 men and 15 women. In how many ways can this club choose a committee of 3 men a...

A: We have given  A club consist of 12 men and 15 women We have to find in how many ways can this club ...

Q: ni i2P + 72 = P2" :

A: Here use formula of nPr

Q: The diagram shows a spinner made up of a piece of card in the shape of a regular pentagon, with a to...

A:

Q: You are given the following mortality rates: qs0 0.07, qsi 0.08, qs2 0.09, qs30.10 Max is currently ...

A: Given: q80=0.07q81=0.08q82=0.09q83=0.10 Age of Max = 80 Age of Darlene = 81

Q: Find the probability P(μ – σ < X < μ + σ) if X has a Binomial distribution  with n = 15 and p = 1/3.

A: Given: X has a Binomial distribution with n = 15 and p = 1/3.   

Q: There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to...

A: Note: The student has requested handwritten solution for question 1 only, so the answer is provided ...

Q: 7. What is the sum of all the probabilities of a simple event? А. О В. 1 C.2 D. 3 8. When a certain ...

A: As per guidelines expert have to answer first three questions only dear student please upload other ...

Q: 9. at least z = 1 10. at least Z 2

A:   Given problem Given that   9) at least z = 1 P( z ≥ 1 ) is, = 1 - P( z &lt; 1 ) Using the standard...

Q: The life expectancy of a new born kid increases at a rate of 1.5 years for every day the kid is aliv...

A: