There are two containers of Marbles. Container A has 20 black and 30 white marbles and Container B has 300 white and 100 black marbles. One person randomly selects a marble from container A and puts it into B, now you will randomly choose 5 marbles from container B, what is the chance that exactly

Q: What is the probability of throwing number with four letters in it in one toss of a die? O 1/5 O 1/3…

A: a die is tossed sample space : {1,2,3,4,5,6} P(tossing four letter digit) = ?

Q: A CI is desired for the true average stray-load loss (watts) for a certain type of induction motor…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: A = (x:x is a jack, queen, or king). B= (x:x is a 9, 10, or jack and x is red). C = (x:x is a club),…

A: Given that C={x: x is club} D={x: x is a diamond, a heart, or a spade}                 We have to…

Q: Q 8. You fit a Pareto distribution to a sample of 200 claim amounts and use the likelihood ratio…

A: Given: Sample size n=200 α=1.5 and θ=7.8 The maximum likelihood estimates are α^=1.4 and θ^=7.6. The…

Q: Solve step by step in digital format 5.- A coin is thrown twice. Draw the tree diagram. What is the…

A: A coin :  Coin has two sides { Head , Tail }  Probability = favorable/total For each output in coin…

Q: Among fatal plane crashes that occurred during the past 60 years, 395 were due to pilot error, b2…

A:

Q: Question 8 Investment products have different probabilities of success. A businessman wishes to…

A: Given the probability distribution with respect to two investment products is shown below

Q: How many distinct 4-letter words can be formed from the word LOGAZBU if Z is to be used OR all…

A: The word is LOGAZBU.

Q: If P​[A] = 0.8 and P​[B] = 0.4, what is the minimum possible value of P​[A ∩ B]? (use a decimal…

A: Given, P​[A] = 0.8 and P​[B] = 0.4,  Find the minimum possible value of P​[A ∩ B].

Q: хххххх хххххххх хх ХХХХХХХХХ XXXX 1 2 3 4 5 6 Visits to the gym in 1 week How many students went to…

A: From the above graph we can create frequency distribution table:  Visits to the gym Number of…

Q: For a fishing trip, Mai is going to choose lures to put in her tackle box. She has 6 lures that are…

A: From the provided information, Number of lures (buzz baits) =6 Number of lures (jigs) = 9 Total…

Q: j) What is the 70th percentile of X? k) What is the probability that X is within 0.1 of its expected…

A: Given is the probability density function f(x) = 427x-12(4-x)  for 1≤x≤40 ; ow

Q: 2) If X₁ X₂, Xn be independent random variables distributed with x² (₁).x²(₂).....x² (rn),…

A:

Q: Question 7 You examine the price fluctuations for another firm (Firm B) and find that the trades…

A: Given Information: Mean μ=3.33 Standard deviation σ=2.97 The trades follow a normal distribution.

Q: At the Aftermath Ice Cream Parlour each customer designs their own dessert by choosing three…

A: choose 3 different flavours of ice cream from seventeen available ice creams.and choose two…

Q: If a coin is tossed three times, what is the probability of three heads if the first two tosses were…

A: When we tossed a coin three times the the possible outcomes are S = {(HHH, HHT, HTH, HTT, THH, THT,…

Q: If you flip a fair coin 12 times and X is the number of times the coin came up "Heads", what is P(X…

A: From the provided information, A fair coin flipped 12 times that is n = 12 Probability of occurring…

Q: • The variance computed from the sample data was 2.25. Construct 95 percent confidence intervals for…

A:

Q: sed indefinitely; let Hn and Tn respectively denote the numbers of heads and tails obtained in the…

A: First n tosses Hn - number of heads in n tosses Tn - number of tails in n tosses Xn- Number of heads…

Q: 0.0475, 0.1587 and 0.9061 the final answers?

A: Z is known as standard normal variable and it's value is obtained using standard Normal table.

Q: 2.1-6. The state of Michigan generates a three-digit num- ber at random twice a day, seven days a…

A: Solution:

Q: Use R functions to find the value of the following probabilities: Receiving 4 phone calls in the…

A: Given that Average phone call recieve an hour = 6 X ~ Poisson (6)

Q: Consider you have 6 buckets. Assume any bucket is likely to be occupied or availabe. What is the…

A: Given that n=6, p=1/2, q=1-p=1-(1/2)=1/2 X~Binomial(n=6,p=1/2) X be a number of occupied buckets. p…

Q: There are two road from A to B and two roads from B to C. Each of the roads has probability 0.1 of…

A:

Q: diligent: P pay tax (-10, 10) our work. audit hide IRS (-20,5) Nature Jeff Bezos not audit lazy: 1 -…

A: (a) A Bayes-Nash equilibrium is a strategy for each player such that no player can improve their…

Q: Five-number summary Minimum: Lower quartile: Median: Upper quartile: 0 Interquartile range: 0…

A: GIVEN DATA, 28,31,36,41,42,53,53,57,57,58,59we have to find out the five number summry for the given…

Q: A property insurance company knows that fire insurance claims have a mean of $507 and a standard…

A: Given Population mean μ=507, standard deviations σ=4000,n=300  M=sample mean  T= Total amount Note:…

Q: The continuous random variable X represents the amount in pesos of an Uber trip, which has a density…

A: From the given information, X be the amount in poses of an Uber trip with density function,…

Q: The self-serve juice machine at Burger King in Mall of Asia is strictly regulated such that the…

A:

Q: The QMplus-gremlins are mischievous creatures that cause computer problems. After careful research…

A:

Q: We denote this distribution Exp(\). (i) For 0 < p < 1, compute the 100p-th percentile of Exp(\),…

A: Given  Fx(t)=1-e-λt ; t≥0

Q: Let X(t) and Y(t) be real-valued jointly WSS random processes. Show that Syx (f) = Sxy(f), XY where,…

A: Given that Xt and Yt be real-valued jointly WSS random process.

Q: (a) A deck of 52 playing cards is dealt out, one card at a time. There are four aces in the deck.…

A: Given data  52 card deck  select cards at random. there are 4 aces in deck and 48 are non face…

Q: Each of each 6 boys tosses a die twice, what is the probability that exactly four of them will throw…

A: Let X denotes the number of boys who will throw a 6 first and a 5 second. If a die is rolled twice,…

Q: An article contained the following observations on degree of polymerization for paper specimens for…

A:

Q: Mutually exclusive events and independent events are often confusing when first learned. In your own…

A: Solution:-   Mutually exclusive events are events that cannot happen at the same time. For example,…

Q: 6. The probability of a getting a rare disease is .003. The probability of a false positive is 0.03…

A: suppose ,   A : rare disease A': Not rare disease   B : positive B' : Negative   From given data,…

Q: What is the median of these movie ratings? 1 OA. 3.5 OB. 4 OC. 5.3 OD. 5.5 2 3 4 7 10 10

A: Seven movie ratings are given.

Q: Peter Rabbit Mr McGreggor C B 0, h 1,1 C 3,3 B h, 0 Suppose the one period game is repeated…

A: Ina. A grim trigger strategy is a strategy where a player cooperates as long as the other player…

Q: Aparticle is described by a wave function a Y(x)=A e e 2X ² 2 i (kx-wt) calculated Probability…

A: Given that a particle is described by a wave function as ψx=Ae2x2eikx-wt

Q: 3 The production process for engine control housing units of a particular type has recently been…

A: Given  Level of confidence=0.9

Q: Polymer composite materials have gained popularity because they have high strength to weight ratios…

A: given data n = 10x¯ =51.3s = 1.4α = 0.05claim : μ &gt; 48

Q: 0 3 4 5 6 7 8 9 10 Select the corresponding expression for each scenario. The probability that four…

A: Permutation does not allow repetition of variables and combination allows repetition of variables.

Q: Question 1. Consider a game where you can pay either $2 to flip two coins, or $3 to flip three…

A: Solution:

Q: Suppose that the number of major defects for each new automobile tests is a random ariable with mean…

A: From the provided information, Mean (µ) = 3.2 Standard deviation (σ) = 2.4 Sample size (n) = 100

Q: Let X be the last two digits of your student ID. In a newly developed digital communication…

A: Solution:- a) To report the range of bits error with 90% confidence, we can use the formula for a…

Q: Suppose that Y and Z are random variables with Y~ Bernoulli(p) and Z = −Y + 1. Which of the…

A:

Q: There are 4 quarters each year. If we number the Quarter 1 of Year 1 as number 1, Quarter 2 of…

A: From given  Quarter 1 of Year 1 as number 1, Quarter 2 of Year 1 as number 2, Quarter 3 of Year 1 as…

Q: 1.3-14. Some albatrosses return to the world's only main- land colony of royal albatrosses, on Otago…

A: From given There are 5 colors of which three will be used as bands on one leg

Q: (d) Compute the stable matrix for the above process. (e) In the long term, what is the probability…

A: Given the transition probability matrix of the Markov chain as P=0.40.50.100.30.70.30.10.6