A firm produces 2 different alarm systems A and B. System A detects with probability 0.93 and costs 2 times expensive then system B. System B detects fire with probability 0.8. Which option is better: to set two systems B or one system A?

Q: A lottery hopper uses balls with numbers 1-57 on them. After each ball is chosen it is not placed b...

A:

Q: In a large population, 68% of the people have been vaccinated. If 5 people are randomly selected, wh...

A: Givenp=0.68n=5Let x be no.of people vaccinatedx~Binomial(n=5,p=0.68)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,...

Q: Find the probability the ball was drawn from Jar 2​, given that the ball is white.

A: Let us define some events A : ball is drawn from jar 1. B : ball is drawn from jar 2. C : ball is dr...

Q: Calculate the expected value, the variance, and the standard deviation of the given random variable ...

A: The variable, X is the number of red marbles that Suzan has in her hand after she selects four marbl...

Q: 2. Frozen pizza Here are the number of calories per serving for 16 brands of frozen cheese pizza. 18...

A: Solution

Q: A class contains 8 students. Find the number of ordered samples of size 3 with replacement.

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Q: Problem#3: If P(A) = 0.3, P(B) = 0.2, and P(An B) = 0.1, calculate the following probabilities: (a) ...

A: As per guideline expert have to answer first question only dear student please upload other subparts...

Q: Mr. and Mrs. Roger want to name their first baby so that its monogram, first, middle, and last name ...

A: Combination: The combination is considered to be a way of selecting items from the given collection ...

Q: 00 R B2 # 3 Giving a test to a group of students, the grades and gender are summarized below C. Tota...

A:

Q: A rivet is to be inserted into a hole. A random sample of n = 18 is selected and the hole diameter i...

A: Obtain the 99% confidence interval for the true population standard deviation of the hole diameter. ...

Q: 1. Two events A and B are such that P(A) 0.5, P(B) = 0.3 and P(AUB) = 0.f Calculate P(AB).

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Q: Standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed b...

A: no.of letters (A to Z)=26no.of numbers (0 to 9)=10

Q: In how many ways can C finish first and A finish second?   What is the probability that C finishes ...

A: Since , the total number of runners are 7 Our aim is to find the following :  a) How many ways can C...

Q: P (x > -1) = 0 P (x z 0, Y = 3) = 0 P(Ys -5) = 0

A:

Q: (a) married to each other and (b) not married to each other

A: Since , there are 15 married couples in a room Our aim is to determine the number of possible ways o...

Q: Fit the position distribution to the f ollowing data: Number of mistakes per page Number of pages on...

A: Solution-: Let, X-Number of mistakes per page and f- Number of pages on which mistake occurred Given...

Q: 14. A random variable X has probably density function fAx) = k for –3 1).

A: Probability Density Function: A continuous function f(x) is said to be the probability density funct...

Q: Randomly draw without replacement two numbers from 1, 2, . . . , 10. Let X denote the larger number ...

A: Given information: It is given that, two numbers are randomly selected from 1, 2, …, 10 without repl...

Q: A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number o...

A:

Q: You order a chair and when you receive it, you see that it is faulty, determine: P(chair came from F...

A: Let us define some events A : chair comes from factory A. B : chair comes from factory B. C : chair ...

Q: If a random variable X follows Poisson distribution such that P (X = 1) = P (X = 2) find (a) the mea...

A:

Q: 1. Compute the five-number summary and the interquartile range. Any outliers?

A: Our aim is to find the five-number summary and interquartile range. Here , we use the R-software  

Q: If six different customers A,B,C,D, E and F arrive for service at random order what is the probabili...

A: Given that  Total number of customers = 6   [ A B C D E F ] We know that  Probability = Number of fa...

Q: The following sample data give the flexural strength (MPa) for concrete beams of a certain type. 7.3...

A: From the provided information, Sample size (n) = 16

Q: Suppose you roll a special 22-sided die. What is the probability that the number rolled is a "1" OR ...

A:

Q: The following sample data give the flexural strength (MPa) for concrete beams of a certain type. 7.3...

A:

Q: (d) Let X, and X, be the number of lights at which a stop is required when driving to and from work ...

A: d) According to the given information, To=X1+X2+X3+X4 EXi=μ=1.5 VXi=σ2=0.45          

Q: For lambda = 3.4, the probability P(x > 7) is: %3D O 0.9421 O 0.0231 O 0.0579 O 0.0348

A: From the given information we find the probability.

Q: 3. 14.77 + 0.01 4. 1000 + 0.1 5. 56 + 1 %3D II II

A: 3) 14.77±0.01=14.77-0.01, 14.77+0.01                  =14.76, 14.78

Q: Assuming the probability of a male birth as 1 find the probability that a family of 3 children will ...

A:

Q: Find all possible two-digit numbers using the digits from the set {1, 2, 3, 4}. Write the set for th...

A:

Q: fast food restaurant sells hamburgers and chicken sandwiches. On a typical weekday the demand for ha...

A:

Q: The joint probability distribution of two random variables X, Y is given in the table below. Value o...

A: Given   Value of Y Total -3 -1 0 1   value of X -3 0.15 0.00 0.07 0.17 0.39 -2 0.03 0.01 0....

Q: 20 Assuming the probability of a male birth as , find the probability 2' that a family of 3 children...

A:

Q: A bag contains 4 coins. You are told that one of them is a normal coin; however, 2 coins are double-...

A:

Q: A family has five children. Suppose that the probability of having a girl is 2/5. What is the probab...

A:

Q: 22 0.4678 Find the area under the normal curve which is more than 1.3. 1.85

A:

Q: You pick 2 digits (0-9) at random without replacement, and write them in the order picked. What is ...

A: From the provided information, Two digits are picked at random without replacement from 0 to 9.

Q: Assuming the probability of a male birth as find the probability that a family of 3 children will ha...

A:

Q: 1. The probability density function (pdf) of a continuous random variable X is given as follows: x< ...

A: Note: According to Bartleby an expert can solve only one question and maximum 3 subpart of the first...

Q: How many different 3 card hands can be dealt from a deck of 52 cards? Your answer is:

A: The combination formula is given by

Q: bag contains 7 red marbles, 10 white marbles, and 10 blue marbles. You draw 3 marbles out at random,...

A: A  bag contains 7 red marbles, 10 white marbles, and 10 blue marbles. You draw 3 marbles out at rand...

Q: The population of Norway is 5.23 million and the population of Washington is 7.41 million a) Norway’...

A: Given Population of Norway =5.23 million Population of Washington =7.41 million

Q: List the outcomes constituting each of the following four A = event "exactly two heads are tossed", ...

A: The experiment is to toss a fair coin four times.   (The data given in the attached image does not s...

Q: In a large population, 71 % of the people have been vaccinated. If 5 people are randomly selected, w...

A:

Q: You witnessed the following sequence of outcomes from an experiment, where each outcome is represent...

A: Given the sequence of outcomes from an experiment as 3, 1, 1, 2, 3, 1, 2, 2, 3, 1, 2, 1, 1, 1, 2, 2,...

Q: Andre will play in the semi-final of a tennis tournament. If Andre wins the semi-final he will progr...

A:

Q: 2. Even at conferences full of physicians, female doctors noticed that they were introduced as "Doct...

A: Let us consider the event when the female physician is not introduced as a doctor a success. Let X b...

Q: How many 8 letter passwords are there if they have to contain exactly one upper case letter and at l...

A: Given information: Number of letters in the password = 8 Number of upper case letters = 26 Number lo...

Q: Television sets for manufacturer A have a mean life of 2.8 years with a standard deviation of 0.4 ye...

A: Introduction: Define XA, XB as denoting the life of a randomly selected television set manufactured ...