Prove or disprove the following: (1) P(AIB) + P(AIB) = 1, (ii) P(AIB) + P(AIB) = 1. of probabilities
Q: When a new machine is functioning properly, only 5% of the items produced are defective. Assume that…
A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…
Q: Often there are cheaper, less accurate tests for diagnosing the presence of some conditions in a…
A: * SOLUTION :- From the given information the calculation is given as below To calculate the…
Q: 4-A ternary communication system is represented by conditional probabilities P(2r/1s) -0.1,…
A: Given :Conditional probabilities are…
Q: An inspector is looking for nonconforming welds in the gasoline pipeline between Phoenix and Tucson.…
A: The objective of this question is to find the probability that the inspector will have to walk…
Q: 2) About 7.6% of American households own fish (aquarium fish). If Y = number of households with fish…
A: Note:- Since you have posted a question with multiple subparts we will provide solutions only to the…
Q: A large 24-hour self-service gas station experiences an average of 1.6 "drive-offs" (gas and dash,…
A: (a) The probability that exactly 2 drive offs in any given week is obtained below: Let X follows the…
Q: A robot can either be in one of two locations: L_1 (which does not have a window) or L_2 (which has…
A: To update the probabilities of the robot being in L1 after observing a window, we can use Bayes'…
Q: Among 13 electrical components exactly 4 are known not to function properly. If 6 components are…
A: We have given,Total number of components = 13Number of components are not to function = 4Now, we…
Q: c). A machine is producing a large number of resistors automatically. One) box of resistors are…
A: Binomial distribution is discrete distribution that deals with the probabilities of success and…
Q: A following binomial experiment has 4 trials, and the probability of success is 0.6900
A: Since the question has multiple sub parts we will solve the first three sub parts. Please resend the…
Q: A sample of 20 specimens of soil was tested under shear, and water absorption tests. 8 of them…
A:
Q: There are 2 candidates (A and B) for mayor in a city of 40,000 voters. Suppose that everyone votes…
A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…
Q: A company produces microwave ovens by production lines A and B. It is known that 4% of all microwave…
A: Define the events as follows: A : Microwave oven is produced by line A B : Microwave oven is…
Q: A quality control engineer inspects a random sampleof two hand-held calculators from each incoming…
A:
Q: 2) In the U.S., about 8.5% of people are B+ for blood type. You take a sample of size 11. You're…
A: According to the provided information, probability that a person in U.S will have B+ blood type (p)…
Q: The device D1 is made by three critical pieces a, b and c, such that even if only one of them is…
A:
Q: A barber shop operated by one barber opens and starts serving customers at 7.00am. From the past…
A: Given:A barber shop operated by one barber opens and starts serving customers at am.From past data,…
Q: 14. In the file Bayes Rule for Disease.xlsx, explain whythe probabilities in cells B9 and B10 (or…
A: Given: Based on the file Bayes rule for disease that includes the values of B9 and B10. The…
Q: An inspector is looking for nonconforming welds in the gasoline pipeline between Phoenix and Tucson.…
A: The objective of this question is to find the probability that the inspector will have to walk 5000…
Q: Compute the following probabilities: If Y is distributed N (-4,9), Pr (YS2) = (Round your response…
A: We want to find the probability value from standard normal distribution table
Q: Frea None Some 71 3 84 Occas 12 34 Regul91 7 Heavy Never 8718 Question #6 Copy and paste your output…
A: The output of the Pearson’s Chi-squared test for independence is provided.Using the output, question…
Q: 14. (i) A and B are two events such that P(4) = 1/4, P(B) = 1/3, and P(4 - B) = 1/2, Find PUB/A).…
A:
Q: In a sample of 900 U.S. adults, 171 think that most celebrities are good role models. Two U.S.…
A: a) In a sample of 900 adults 171 thinks that most of the celebrities are good role models.
Q: 9) Suppose that events A and B are dependent events with P(A) = 0.37. P(B) = 0.27. and P(BIA) =…
A: It is given that P(A) = 0.37 P(B) = 0.27 P(B/A) = 0.18 Note: According to Bartleby expert…
Q: A S Probabilities should be entered in decimal form rounded to 3 decimal places if necessary. P(AC)…
A: The objective is to determine the probability for the area AC, i.e., the area in the larger…
Q: 8) You play Russian Roullette two times in a row independently. Each time there is a proba- bility…
A:
Q: A six-sided die is loaded in a way that each even face is twice as likely as each odd face. All even…
A: Let, A is the event of having an even number face on the die. B is the event of having an odd number…
Q: A lawyer has an unlisted number on which shereceives on the average 2.1 calls every half-hour anda…
A: a) Here λ =2.1+10.9=13. The random variable X follows a Poisson distribution with parameter λ =13.…
Q: Often there are cheaper, less accurate tests for diagnosing the presence of some conditions in a…
A: * ANSWER :- From the given information the answer is given as follows
Q: On average, an operator of a bank make 3 calls per week. Compute the probability for the following…
A: Solution
Q: Students arrive in a different school (Poisson process w/ 3 per hour). The school is not large so…
A:
Q: b) If the first ball drawn is not replaced before the second ball is drawn, find the following…
A: Given that - Two balls are drawn from a container that holds 5 red balls, 7 green balls and 8 white…
Q: According to the statistics, among the students coming back from UK and USA, 1% are infected by…
A: Given: Proportion of students having COVID = 0.01 Also , The test accuracy (whether the person…
Q: P(A) = probablity of rolling dice to show even number for the first time on the 10th turn . P(B)…
A: If P(A) represents the Probability of rolling dice to show even number for the first time on the…
Q: the probabilities tha utility bill will be reduced by at least one - third in i) form of five…
A: Given: p=0.60 n=5
Q: When two dice are thrown determine the probabilities from axiom 3 for the following three events.…
A:
Q: what is the expected number of participants who arrived from 8 to 10 am?
A: Here Given Arrival Rate= 5 per hour No of team member in each team is Independent and takes value…
Step by step
Solved in 3 steps with 3 images
- Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During reproduction this mutation arises spontaneously on each of the X chromosomes of the parents, independently and with probability u = 0.301. We can therefore view the production of a child as consisting of two probabilistic experiments. First, one of the two sex chromosomes is chosen with equal probability from each parent. Second, for each X chromosome that is chosen, the muscular dystrophy mutation arises independently with probability p. All male children carrying the mutation will develop muscular dystrophy, whereas only females whose X chromosomes both carry the mutation will develop the disease. What is the probability that a child will develop the disease? Round your answer to five decimal places. Answer:13. Ax co has risky assets which can generate either 100m or 16m both same probability. Ax co has a 29m debt due in 1yr. they are thinking about a new project rquires 18m investment. but generates 22m cflow in 1yr.Ax co has 18m in cash available, if not used, it will be for paying equityholder as dividend. expected value of Ax co equity& debt without and with the new project? what is the incremental value to the equityholder? will the project be accepted? if Ax co sold 1/2 of the risky asset (29m) to pay the debt then take the project wht is the expected value of Ax co debt& equity? will equity&debtholder accep this? why?The company manufactures the inverters for the synchronous motors. The quality inspector has determined that in each package, 92% of the inverters are within the correct tolerance values with respect to their functionality, the remainder were out of tolerance. If a random sample of 8 inverters are drawn from the package, , determine the probabilities that 4 of the sample inverters are out of tolerance More than 5 of the sample inverters are out of tolerance Less than three of the sample inverters are out of tolerance. No one is out of tolerance.
- 5. Suppose we have a random sample of 100 m & m's. I'm going to make up some probabilities here, but you can google for more accurate numbers. Let's suppose each m & m is blue with probability 1/50, and green with probability 4/10 independent of the color of the other m & m's. (a) What is the distribution of the number of blue m & m's including any parameters? (b) What is the distribution of the number of green m & m's including any parameters? (c) We have two approximations to the binomial distribution: the Poisson approximation and the Gaussian approximation (and if you use the Gaussian approximation also use the histogram correction and the tables in the appendix of our textbook). Which approximation would be appropriate for estimating the probability of 2 or fewer blue m & m's? (d) Approximate the probability of 2 or fewer blue m & m's using either the Poisson or Gaussian approximation, whichever is more appropriate. (e) Which approximation would be appropriate for estimating the…A hospital performs 6 complex surgeries of a certain type per week. It is known that 60% of patients undergoing a certain surgery survive. For 6 patients who will undergo surgery in one week, determine: (For items (a) to (d) consider rounding to the third decimal place, probabilities in the range [0,1] and tolerance of 0.01.For item (e) one decimal place will be considered and a tolerance of 0.1). a. The probability that at least 2 and at most 4 survive. b. What is the expected number of survivors among patients who will undergo surgery in one week?A hospital performs 6 complex surgeries of a certain type per week. It is known that 60% of patients undergoing a certain surgery survive. For 6 patients who will undergo surgery in one week, determine: (For items (a) to (d) consider rounding to the third decimal place, probabilities in the range [0,1] and tolerance of 0.01.For item (e) one decimal place will be considered and a tolerance of 0.1). a. The probability that everyone survives. b. The probability that at least 4 survive. c. The probability that at most 5 survive.
- Suppose that a six-sided die is weighted so that any even-numbered face is four times as likely to land face up as any odd-numbered face. (a) What are the probabilities of the six simple events? (Hint: Denote these events by O1, , O6. Then P(O1) = p, P(O2) = 4p, P(O3) = p, P(O6)= 4p. Now use a condition on the sum of these probabilities to determine p. Answer as an exact fraction or round your answers to three decimal places.) P(O1)= P(O2)= P(O3)= P(O4)= P(O5)= P(O6)= (b) What is the probability that the number showing is an even number? (Give the answer to three decimal places.)A sample of 20 specimens of soil was tested under shear, and water absorption tests. 8 of them failed in shear test, while 5 was failed in water absorption test and 2 failed in both. Find the following probabilities if a random sample is selected? 1-Failed in one of them at least? 2-Failed in one of them at most? 3-If it is failed in shear to be failed in absorption? 4-If it is good in absorption to be bad in shear?34 F55) A) hiçbiri /none of them B) 0,397 C) 0,0347 D) 0,00347 E) 0,207
- Compute the following probabilities 1) P(Z<0.887) 2)P(Z<0.121) (Round to 4 decimal places)It has been claimed that in 60% of all solar heat installations the utility billis reduced by at least one third. Accordingly what are the probabilities that the utility bill will be reduced by at least one - third in i) form of five installations ailide do i) at least four of five installationsDon't know how to solve