5. Suppose events A, B, and C are mutually exclusive and P(A) = 0.2, P(B) = 0.3, and P(C) = 0.4. For each of the following events draw Venn diagram and find the probability: a) A n Bc ncc b) (AUB) nC c) (AUB) NCC
Q: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that…
A: From the provided information, A bag contains 6 black and 8 white balls. Total balls = 6 + 8 = 14
Q: Consider the event that the two balls that are drawn are both blue. List all outcomes in the event.…
A:
Q: ones. vVIkU iS Ut P RU sy unn uay w g nv Home work 2: A box contains 5 white balls, 3 red balls, and…
A: It is an important part of statistics. It is widely used.
Q: 31-35. Aboxcontains 6 blue pins, 5 red pins, 7 yellow pins and 4 green pins. If a pindrawn rando…
A: Given that there are 6 blue pins, 5 red pins, 7 yellow pins and 4 green pins. Total number of pins…
Q: In a given training center, the total number of students is (100) students. (70) students are taking…
A:
Q: Peter went shopping for dinner. The vendor “accidentally” mixed all the chicken and duck eggs.…
A:
Q: Brett is off to college . There are 1000 additional new male students, and one of them will be…
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: An individual is randomly selected from a population where 80% of people like peanut butter, 89%…
A: Given : People likes Butter (B)=0.80People likes Jelly (J)=0.89People likes Butter and Jelly(B…
Q: Austin has a bag of fruit with 3 apples, 4 pears, 2 bananas, and 1 orange. Suppose that he randomly…
A: Given, Austin has a bag of fruit with 3 apples, 4 pears, 2 bananas, and 1 orange. Suppose that he…
Q: by (a) fewer than 4 hurricanes; (b) anywhere from 6 to 8 hurricanes.
A: Given : mean , μ= λ = 6
Q: 21. John is having a walk in the park. Map of park paths is provided below. John starts at A and…
A:
Q: Q: Two Urns are given as follows: Urn A contains 5 yellow and 2 blue marbles. Urn B contains 1…
A: Let the events are U1: Urn A is chosen. U2: Urn B is chosen. E: A chosen marble is yellow. Since an…
Q: 8) Alex is driving to work today. There are 14 traffic lights on his way to work. The probability…
A: Given,n=14p=0.18X~Binomial (n=14 , p=0.18)P(X=x)=nx px (1-p)n-x ; x=0,1,2,.....n
Q: 5. The following spinner is spun: Find the probabilities of obtaining each of the following: a.…
A: We have to find the probabilities of obtaining each of the following:a. P(factor of 35)b. P(multiple…
Q: S. One ticket is drawn at random from a bag containing 30 tickets numbered from I to 0. Find the…
A:
Q: 1. Reggie and Tanya are making their lunches for school. Each of them will randomly pick one piece…
A: Reggie and Tanya are making their lunches for school. Each of them will randomly pick one piece of…
Q: . A box contains 10 balls of which 5 are red and 5 are white. If two balls are randomly drawn with…
A:
Q: Assume that there are 18 frozen dinners: 6 pasta, 7 chicken, and 5 seafood dinners. The student…
A:
Q: Let's suppose that 15% of Smith High School student drivers are involved in accidents each year. Ten…
A:
Q: spades} and let B={all 5 cards of spades}. What is the probability that all 5 cards of spades given…
A: Here without Replacement model So use hypergeometric distribution
Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…
A: Given: 8 freshmen 5 sophomores 4 juniors 2 seniors Total = 8+5+4+2=19
Q: Q2 a) If a disk is purchased at a store and found to be non-defective, what is the probability that…
A: The answer is given using the concept of conditional probability (Bayes Theorem).
Q: Peter goes to office either by train, scooter or car, the probabilities of which being 0.28, 0.18,…
A:
Q: 2. The manager of computer store has kept track of computers sold per day. Based on this…
A: Let , random variable X be number of computers sold per day The probability distribution of random…
Q: In a particular college, it is estimated that 1/4 of the students drink, 1/8 of the students smoke…
A: Given thatDefine events E1: student drink E2: student smoke P(E1)=1/4 P(E2)=1/8P(E1∩E2)=1/10We have…
Q: A box contains 12 strawberry-flavored candies, 10 lemon-flavored candies, and 15 mango-flavored…
A: Given information: Number of strawberry flavoured = 12 Number of lemon flavoured = 10 Number of…
Q: 1. The manager of computer store has kept track of computers sold per day. Based on this information…
A: Here, all the values of PX lies between 0 and 1 and ∑PX=0.08+0.17+0.26+0.21+0.18+0.10…
Q: What is the probability of not ever rolling a “seven” (when the spots of the two dice sum to 7) in…
A:
Q: 2 dice are thrown simultaneously. Wha is the probability that the sum of the numbers on the faces is…
A: When two dice thrown So total no. of possible outcomes will be 6^2=36. These are[…
Q: A box contains 15 balls, of which 6 are yellow, 4 are white, and 5 are red. If three Q.6. balls are…
A:
Q: Are the events mutually exclusive or not? a. Two balls are drawn successively without replacement…
A: A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B…
Q: brown eyes. What is the probability that a randomly chosen member of the group has blond hair and…
A:
Q: 15. On Main Street, there are three traffic lights which operate independently. Each light is red…
A: It is an important part of statistics . It is widely used in statistics .
Q: 29. A refrigerator contains 4 cans of Coke, 5 cans of Pepsi and 2 cans of Sprite. If two cans of…
A: Given, A refrigerator contains 4 cans of Coke, 5 cans of Pepsi and 2 cans of Sprite. 2 cans are…
Q: a bag with marbles, 3 blue marbles, 2 red marbles, and 5 green marbles. Three marbles are drawn in…
A: It is given that, A Marbles contain 3 blue marble 2 red marbles 5 green marbles Thus, total no.…
Q: A. A box is filled with several party favors. It contains 11 hats, 19 noisemakers, five finger…
A: Probability of an event is the ratio of number of favourable outcomes to total number of possible…
Q: a) Given events A, B, and C with their respective probabilities, P(A) = 0.30, P(B) = 0.40 and P(C) =…
A:
Q: Q.3 Dawn Corporation has 18 employees who hold managerial positions. Out of them, 3 are from Lahore,…
A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…
Step by step
Solved in 3 steps with 6 images
- B. A box contains 6 red balls 4 blue balls Draw two cards in a row If the draw is with return, what is the probability that 1. The two balls are blue 2. The two balls are of different colours3. Given that 18 individuals ride horses and play tennis in a population of forty, 26 people plays tennis and 20 people ride horses and 12 people do niether, find the probability of : P (Tennis) , P (Ride horses) P (Tennis| Ride horses) that line in between tennis and horse means given P (Tennis or Ride horses) please show all workActivity: 1. Two dice are rolled. Let A be the event that the sum of the numbers up is 7, or B the event that both numbers up are 6. Find the probability of (A U B ). 2. If one card is drawn from an ordinary deck of cards, what is the probability that: a) it will be a heart or b) it will be an ace or a face card? club?
- 1. John is having a walk in the park. Map of park paths is provided below. John starts at A and goes down the park, selecting random path at every intersection. He does not go up(back) the park paths. Find the probability that John will reach G. A C B G E H K.a. The Probaility of event A happening is P(A)-0.5. The probability of event B happening is I(B)-0.4. Considering these are both mutually exclusive events what is the probability of event A or eveat B occurring b. Dario owns 145 baseball cards, 102 football cards, and 4s basketball cards He selcets a card at randors and gives it to his brother. What is the probability that he selects a baseball or football card? I need quick help4. A rental car agency has 52 autos on its lot - 20 are SUVS, and 32 are sedans. Fifteen of the 52 autos are blue; the rest are red. Twelve of the SUVS are red. The rental agency chooses a single auto for you at random. To three decimal places, find the probability that: a. You got a red sedan b. You got an SUV C. You got a blue SUV d. You got a sedan, given that you know it is a blue auto
- 3. Two coins are tossed 700 times, and the results are Two heads: 205 times One head: 325 times No head: 170 times Find the probability of each event to occur? 4. If P(A)-7/13, P(B)-9/13 and P(ANB)-4/13, evaluate P(A/B)? 5. Two dice are rolled, find the probability that the sum of the number of both the dice is: A.Equal to 2 B.Equal to 5 C.Less than 12 6. Let X be the number of Tell in four tosses of a fair coin a) Construct the Probability mass function (pf) of X. b) Find the mean number of Tell and the variance c) Find P(0 2. (i)Determine the corresponding p.d.f. (f(x)). (ii) Determine the constant c. 8. If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value 9.Find the probability of getting at least 5 times head-on tossing an unbiased coin for 6 times by using the binomial distributionEvents A, B, C, and D are independent. P(A) = 0.5, P(B) = 0.25, P(C) = 0.75, and P(D) = 0.1. Find each probability below. 2) a) P(A and B) e) P(A or D) b) P(A and C) f) P(both B) c) P(C or B) d) P(C and D)Suppose that events E and F are independent, P(E) = 0.4. and P(F)=09 What is the P(E and F)2 The probability P(E and F) is (Type an integer or a decimal) Statcrunch
- a) Show that for any three events A, B, and C, the probability that at least one of them occurs is P(A) + P(B) + P(C) - P(An B)- P(ANC) - P(BNC) + P(An BnC). b) Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(ANB) c) About 52% of the residents of Capricorn municipality are happy and 48% of the residents are not happy with the delivery service. A recent study showed that 75% of happy residents and 25% of the unhappy residents are in favour of keeping the mayor of the municipality. If resident is randomly selected from the municipality residents is found to favour the motion. What is the probability that this person is happy with the delivery service?10. Final: A local grocery store receives strawberries from suppliers in city A and city B. Currently there are 18 strawberry containers or shelf and 11 of them are from city A. A shopper selects three containers to purchase. What is the probability that two containers are fro the city A supplier? O a. .2831 O b. Not available O c..1851 O d. .4718 O e. .5292 口iL American Airlines' flights from Chicago to Atlanta are on time 60 % of the time. Suppose 14 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is %3D 2.The probability that at most 2 flights are on time is 3.The probability that exactly 7 flights are on time is = > Next Question MacBook Pro %23 & 24 3.