A die is thrown 6 times. If getting an even number is a success, find the probabilities of (i) at least one success (ii) ≤3 successes (iii) 4 successes.
Q: 2. A large corporation determines that 20% of its employees leave the company taking up an offer…
A: Given Data : P =20% =0.2 q = 1-p = 1-0.2 = 0.8 n = 16
Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)
A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?
Q: When packaging a product, a manufacturer finds that one packet in twenty is underweight. Determine…
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Q: In each of 4 races, the Democrats have a 60% chance of winning. Ass pendent of each other, what is…
A:
Q: Three players Dan, Emily, and Frank are tossing a biased coin with P(H) = α. They rotate turns…
A: P(H)=α
Q: In a town, out of 200 families with 4 children each, find the percentage of families having (i) 2…
A:
Q: determine the probability
A: Given that total number of puppies are 16 n=16 out of 16 we have 10 are yellow
Q: A student goes to the library. Let events B = the student checks out a book and D = the student…
A: Let define the events: B = the student checks out a book D = the student check out a DVD The known…
Q: The hazard of exposure to radioactive chemicals is mitigated with 3 independent barriers. If on…
A: Given : n = 3000 p = 0.001
Q: uppose a jar contains 15 red marbles and 15 blue marbles. If you reach in the jar and pull out 2…
A: Number of red marbles=15Number of blue marbles=15Total number of marbles=30
Q: A man must put 8 balls in a box - some white and some black. He will then pull out three. How many…
A: Given a man puts 8 balls in a box. We have to find the probability.
Q: Assume that the fisherman can use between 5 and 8 lines. With 5 lines, the probability of a catch on…
A: We will solve this question using Binomial probability by applying the probability formula for each…
Q: We have an empty 4X4 grid. We then place 4 apples at random in different squares of the grid. What…
A: Let us represent 4X4 grid by coordinates (i,j) where, i =1,2,3,4 and j = 1,2,3,4 So, there are 4*4 =…
Q: How do you show that two events are independent?
A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)
Q: You are playing a game of ring toss. There are 60 bottles set up in 6 rows of 10. You have 3 rings…
A: Let the random variable X denote the number of rings you get around the neck of the bottles. You…
Q: In a game if the player wins, a random gift will be given. There are 3 types [Watch, Voucher, Pen…
A: The provided information is as follows:There are three types of gifts watches, vouchers, and…
Q: The sum of all probabilities must be equal to 1 2 3.14 10
A: Answer:- We know that the probability of an event lies between the range from 0 to 1. That is,…
Q: In a lottery held by local sportsclub, the chance of winning is 60%. Jussi buys 15 tickets and gives…
A: n = 5 (5 friends)p = 0.6 (probability of winning the lottery)
Q: A fair dice is thrown three times. If p, q and r are the numbers obtained on the dice, then find the…
A: The given problem is to find the probability for which the ip+iq+ir=1 where p,q and r are the…
Q: To compute P(A and B) means that we wish to find the probability that both A happened and B…
A: Given that A and B are independent events. P(A and B ) = P(A) P(B)
Q: Find the probability of getting two numbers whose product is even, if you throw two dice…
A: The sample space for throwing two dice simultaneously is given as follows: S = {(1, 1), (1, 2), (1,…
Q: the difference in the winning probabilities large? Why or why not?
A: Solution Given, there is one revolver which could carry up to m bullets and there are n bullets with…
Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x – 11) white paper clips. A clip…
A:
Q: A disease can be caused by three strains of a virus. Suppose that Type A is statistically the most…
A: Given Information: Type A is causes 85% of all cases. Type B causes 12% of cases. Type C causes the…
Q: In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B,…
A: There are 'n' independent trials.For each trial, there are three outcomes, A, B, and C.The…
Q: Assume that the group has a portfolio of 6 stocks. There is 30% chance that any one of these stocks…
A:
Q: A firm produces 2 different alarm systems A and B. System A detects with probability 0.93 and costs…
A: For Alarm system A : P( A detects) = 0.93 Let cost = 2x For Alarm system B : P( B detects) = 0.8…
Q: Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute,…
A: The answer can be given by finding the z value.
Q: Kat and Doug played 12 games of chess, of which 6 are won by Kat and 4 are won by Doug, and 2 end in…
A: Given : Total = 12games Kat wins 6, Doug wins 4, 2 are draw. They both Play 3 games
Q: Suppose a system will only work if all 5 components work. The probability that a particular…
A: Given that the probability that a particular component works is 0.915.Each component is independent…
Q: Two buddies, Zeke and Bubba, plan a squirrel-hunting trip. Bubba is a better shot than Zeke. How…
A:
Q: Alice has come to the Carnival and is playing the dart game one time. She gets three tosses. The…
A: Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get…
Q: In a clinical covid testing procedure researchers are experimenting by combining 6 samples of covid…
A: Given data in a clinical COVID testing procedure researchers are experimenting by combining 6…
Q: Let's say (B₁, B₂, B3, B4, B5) is a collection of events that are mutually exclusive events. If…
A: Two events are said to be mutually exclusive if both of them cannot occur at the same time. Two…
Q: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he…
A: Given that, Average 10 calls (μ=10)Here, we can use Poisson distribution
Q: What is the probability that he will be selected in one of the firms?
A: Here use given information and draw venn diagram
Q: For each set of probabilities, determine whether the events A and B are independent or dependent.…
A:
Q: The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this…
A:
Q: Tom exercises shooting. He is allowed to make 3 shoots. For every shoot Tom makes, Probability of…
A: Given data: The total number of shoots is n=3. The number of shoots exactly hit by Tom is r=2. The…
Q: A number is drawn at ramdom from a box. There is a 20% chance for it to be less than 10. There is…
A: A number is drawn at ramdom from a box. There is a 20% chance for it to be less than 10. There is…
Q: Marlon has 8 pairs of socks (4 white, 2 black, 1 blue, and 1 red) what is the probability that he…
A: Solution Answer is c.3/14
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- Player A and Player B play chess (either of them wins, a draw is not permitted). If player A plays White, the probability of him/her winning is 0.72. If player A plays Black, the probability of him/her winning is 0.63. Player A and Player B play 2 games and in the second game, they change sides. Find the probability that player B wins both games.An engineer decides to buy four new snow tires for his car. He finds that Retailer A is offering a special cash rebate, which depends on how much snow falls during the first winter. If this snowfall is less than 50% of the mean annual snowfall for his city, his rebate will bet 50% of the list price. If the snowfall that winter is more than 50% but less than 75% of the mean annual snowfall, his rebate will be 25% of the list price. If the snowfall is more than 75% of the mean annual snowfall, he will receive no rebate. The engineer finds from a reference book that the annual snowfall for his city has a mean of 80 cm and standard deviation of 20 cm and approximates a normal distribution. The list price for the brand and size of tires he wants is $80.00 per tire. The engineer checks other retailers and finds that Retailer B sells the same brand and size of tires with the same warranty for the same list price but offers a discount of 5% of the list price regardless of snowfall that…One bag of marbles contains two red, one yellow, one green, and one blue marble. Another bag contains one marble of each of the same four colors you pick one marble from each bag at the same time. Use the complement to find the probability of not selecting a yellow marble
- A probability distribution gives the possible values of the random variable and the probabilities of each random variable. Probabilities have to be between 0 and 1. The sum of all the probabilities has to be 1. Additionally, the different values for the random variable are disjoint possibilities. In other words P(Xa and X - b) = 0 if a and b are different outcomes. Fill in the missing value for the probability distribution. P(X) 0.151 X 3 4 5 What is P(X-6)? 0.04 0.026 ?A huge pencil bag contains 40 pencils of two different shades, 4B and 6B. Initially, there are x numbers of 6B pencils in the bag. If 45 more 6B pencils are put in the bag, the probability of randomly picking a 6B pencil now will be quadruple that of the previous probability of picking a 6B pencil. With the given information, evaluate the original number of 6B shade in the pencil bag.Why is it that the P(3set and V wins)=(0.09+0.0675)? What is the formula of P(3set and V wins)?
- If the events A and B two disjoint even then P(AnB) =0.2 P(AnB) =0.6 II P(AnB) =0.8 .IV P(AnB) =1 %3DBecky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10The device consists of 3 elements. The probability of failure free operation of each of them are respectively equal to. 0.6, 0.7, 0.8. Find the probability that at least two of elements will work without fail.
- Kay has and 80% probability of making a free throw in baseball and each free throw is independent k gets to take two free throws I must make both to win the game what is the probability that case team will win tnhe game.Suppose a system will work if any one of the 10 different components work. The probability that a particular component works is 0.222, independently of all the other components. Find the probability that the system works.A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try? Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws and must make both to win the game. What is the probability that Kay's team will win the game? Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo’s margin of error, rounded to the nearest whole number? (The formula is )
