Show that if a and b are constants, then E[aX+ b] = aE[X] + b.
Q: 6. A six-sided die is rolled. The sides show dots that range from 5 dots to 10 dots. What is the…
A: Given that The sample space for rolling a six-sided die is S { 5, 6, 7, 8, 9, 10 }
Q: Ans. 1/243, 10/243, 40/243, 80/243, Q.6 If 20 % of the bolts produced by a machine are defective,…
A: Given : Let X : No. of bolts produced by a machine are defective n=5 p=0.20
Q: 16 The probability that an event will happen is P(E) = 19 Find the probability that the event will…
A: Given The probability that an event happen is P(E)=1619 Result: For any event A is a subset of…
Q: 13 The probability that an event will happen is P(E)= Find the probability that the event will not…
A: The probability of an even not happening is given by P( Event not happening) = 1- P( Event…
Q: 22. In a simultaneous throw of two dice, what is the probability of getting doublet? (a) (d) 3 23. A…
A: To determine the probability of getting a doublet in a simultaneous throw of two dice, we need to…
Q: Which of the following statements about probability is always true?* If tho probobilitu nf
A: Here use basic rule of probability And some basic definitions
Q: The sales force of a business consists of 10 men and 10 women. A production unit of 4 people is set…
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Q: An urn contains 10 red balls 20 of them olives and 50 orange balls if you reach into the urn and…
A:
Q: A and B are independent, P(A) = .5, P(B) = .5, Find the probability of the union of A, B
A:
Q: Probability There is a container of colored pencils 5 blacks,2 pink,4 orange,3 blues,and 6 red.what…
A: Answer:- Given, a container of colored pencils 5 blacks, 2 pink, 4 orange, 3 blues, and 6 red.…
Q: A die is thrown 8 times. If getting a 2 or 4 IS a success. probability of i) ii) P(X<3) 4 success…
A: From the given data using binomial distribution B(x,n,p)=Cxnpx(1-p)n-x where n= number of trials =8…
Q: Both A, B, and C please
A: Given informationnumber of trials (n) = 18probability of success (p) = 45% or 0.45Required(a)…
Q: Consider a collection of envelopes consisting of 3 red envelopes, 3 blue envelopes, 1 green…
A: According to the given information,Number of red envelopes, n(R) = 3Number of blue envelopes, n(B) =…
Q: 23 Suppose the probability of an event is 37 What are the odds for the event happening? The odds are…
A: Given Data: The probability of an event occurs is: PE=2337 The probability of the given event not…
Q: Random sample of twenty students is selected, 15% of the students are female. what is the…
A: Solution: Let X be the number of female students. From the given information, n=20 and p=0.15. Here,…
Q: 6. If probability that Ahmad win the game=D0.3, probability that Ali win the game=0.4, probability…
A: Let, A = Ahmad win the game. B = Ali win the game. (A∩B)=Ali and Ahmad both win the game. Given :…
Q: A remote-controlled undersea vehicle detects debris from a sunken craft at a rate of 40 pieces per…
A:
Q: Suppose 8 people are in a race. What is the probability that Billy and Michael place 1st and 2nd…
A: The formula for the probability of an event E is P(E)=n(E)n(S), where n(E) is the number of outcomes…
Q: Could you help me solve and understand number 4 written out by hand?
A: Define the random variable X as the number of individuals that changes residence during the year.…
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A: Let us define some events A : a student is a woman. B : a student is a man. E : a student is…
Q: 34 The probability that an event will happen is P(E) = Find the probability that the event will not…
A: It is given that the probability that an event will happen is P(E)=3441
Q: 7. There are 5 doors to the lecture room; the number of ways in which a student can enter and leave…
A: (As per bartleby guideline, For more than one question asked, only one will be solved, Please upload…
Q: 80% probability of planes taking off just on time, landing on time to the destination the…
A: It is an important part of statistics. It is widely used.
Q: Probability is the estimation of the chances of a certain event to occur, it is the branch of…
A: There are total n = 47 cards.
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A: I would like probability models to have an interpretation in the real world. Otherwise, what am I…
Q: 1000 draws made at random with replacement from box 1,1,2,2,2,4 what is the chance the sum will be…
A:
Q: A bag contains 13 blue, 8 red, and 9 white marbles. Find the probability of drawing in 1 draw: 10.…
A: Given No.of blue marbles = 13No.of red marbles = 8No. of white marbles = 9
Q: 2. A coin is altered so that the probability of getting a head on every flip is 0.6. Suppose this…
A: Probability : The term "probability" merely refers to the chance of one thing occurring. we will…
Q: The table shows the results of a restaurant survey. Find the probability P(X'JA'). Service Great…
A: A B C D Total x 31 49 45 20 145 y 24 15 31 10 80 Total 55 76 76 30 225 P(X'/A')=?
Q: Calculate the probability P(E) the heavy weather service predicts that for tomorrow there is a 55%…
A: Given that there is a 55% chance of tornadoes, a 20% chance of a monsoon, and a 5% chance of both.…
Q: An urn contains 8 white and 3 red balls. If two balls are drawn at random, find the probability that…
A: Probability quantifies the chances of happening an event. The probability values always lie in the…
Q: (b) At least one moves outsi 3. The annual probability that an individual makes an interstate move…
A: The sample size n=10. Let a person make an interstate move is a success. The success probability is…
Q: Tossed 5 coins what is the probability of getting 5 tails.
A: Given data: Tossed 5 coins To find: what is the probability of getting 5 tails.
Q: Watch your cholesterol: The mean serum cholesterol level for U.S, adults was 196, with a standard…
A: Given Data Population Mean,μ = 196.0 Population Standard Deviation,σ = 36.0 sample…
Q: choose all correct answers) Which of the following random variables is continuous? A Time it takes…
A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…
Q: A box contains 13 identical cards, 4 of the cards are blue and the rest are red. Two cards are…
A: Given,no.of blue cards=4no.of red cards=9Total no.of cards=13
Q: complete solution pls A bag contains 5 red, 4 white, and 6 blue marbles. Two marbles are drawn with…
A: A bag contains 5 red , 4 white and 6 blue marbles.total marble=5+4+6=15two marbles are drawn with…
Q: 474.21.0f pecple pass their driving test. E you're tryungtoget yourlicensé, find probability you…
A:
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- Interpretation You are applying for two jobs, and you estimate the probabil- ity of getting an offer for the first job is 0.70 while the probability of getting an offer for the second job is 0.80. Assume the job offers are indeneQ:A bag contains 5 red balls, 88 white balls,4 green balls and 7 black balls. If one ball is drawn of random, Find the probability that it is: (i) black (ii)red (ii)not greenProbability of you passing course A: 0.75, course B: 0.90, course C: 0.60, course D: 0.95 and course E: 0.65.detection probability: A. All exams in this course were failed. B. Pass at least 3 courses. C. Most people fail the course. D. The number of courses passed is more than 4.
- Table shows the marital status of the U.S. population in 2010. Numbers in the table are expressed in millions.If one person is randomly selected from the population represented in Table,find the probability that a. the person is divorced or male. b. the person is married or divorced. Express probabilities as simplified fractions and as decimals rounded to the nearest hundredth.4 |U] d% (flo or funchon