Suppose we have 15 cans of soup with no labels, but 6 are tomato and 9 are pea soup. We randomly pick 8 cans and open them. Find the probability 3 are tomato.

Q: Find the probability of drawing either a face card (jack, queen, or king) or a club from a standard…

A: Given that  Total cards = 52 Number of face cards = A =  12 Number of club cards = B = 13 Number of…

Q: Two events A and B are such that P(A) = 0.50, P(B) = 0.32 and P(An B) = 0.10. Calculate P(A/(A^B)).…

A: P(A) = 0.50 P(B)  = 0.32 P(A∩B) = 0.10 P(A|(A∩B)) = ?

Q: A card is selected at random from a standard deck of playing cards. Compute the probability that…

A: A standard deck of card has 52 cards.

Q: Example: In Lotto 6/49 a player selects a set of six numbers (with no repeats) from the set {1,…

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Q: A survey of 100 persons revealed that 72 of them had eaten at restaurant P and that 52 of them had…

A: total outcomes in sample space (n)= 100 n(P) = 72 n(q) = 52 which number is not possible for n(P∩q)

Q: Let K and L be events on the same sampl space, with P (K) = 0.8 and P (B) = 0.6. Are these two…

A: given data  P(K) = 0.8 P(B) = 0.6 are this events disjoint?

Q: A tram company runs two tram routes from station P to station Q. The first route is a direct tram,…

A: There are 2 paths Direct Path Indirect Path

Q: (a) Find an example in the news of a situation involving probability where you can identify at least…

A: Part(a)https://www.usatoday.com/story/news/nation/2022/11/09/first-blizzard-snow-north-south-dakota-…

Q: A random sample of 10 secretaries was asked to type a certain memorandum using both computers and…

A: Given info: A test of hypothesis will be conducted to determine if there is enough evidence to…

Q: 2a) Suppose you are given a discrete random variable X which takes the following values {-1, 1, 2,…

A: Dear student, If you find this solution helpful please upvote it. The solution is given below :

Q: There are 2 urns. The first one has 4 red balls and 6 black balls. The second has 5 red balls and 4…

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Q: 14 persons are seated around a circular table. Find the that 3 particular persons always seated…

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Q: Please explain how the 32 was caculated in the problem? I had the same question and got it wrong

A: as we can see is solution  No. of coins tossed = 5 P(H)=12 and P(T)=12

Q: On the basis of past experience, the manager of The Comic Shop has compiled the following table,…

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Q: The joint probability function of a & b is f(a,b) = (1/64)*(a+5b) for 1< a < 5 and 0 < b < 2. Find…

A: The joint probability density function is given  f(a,b) = 1/64*(a+5b)

Q: iven a sample with a mean of 57 and a standard deviation of 14, find x such that Pr(X > x) = 0.879.…

A: given data  μ = 57σ = 14P(X&gt;x) = 0.879X = ?

Q: From a bag containing 24 black balls and 24 white balls, two balls are drawn one at a time. Find the…

A: given data  24 black balls 24 white balls _______________ 48 total balls select 2 at random select…

Q: If X~ Exp(2), then what is the exact distribution of Y = e-AX=

A: Given information: X~Expλ fx=λe-λx, x&gt;0Fx=1-e-λx And, Y=e-λx

Q: bag contains three red marbles, one green one, one lavender one, three yellows, and two orange…

A: given data, a beg contains3- red marbles 1- green 1- lovender3- yellows2- orange 10- total marbles

Q: Suppose for students finishing 2A Math that 22% have a math average ≥ 80%, 24% have a STAT 230 mark≥…

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Q: Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are…

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Q: . Paper cards numbered 1 to 10 are placed on a table in a row, in a random order. What is the…

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Q: Example An urn contains 6 red marbles and 4 black marbles. Two marbles are drawn without replacement…

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Q: Given a random variable X~N(175,40), find x such that Pr(X > x) = 0.069. (Please round your answer…

A: given data, X~N(175,40)p(X&gt;x)=0.069we have to find out the given probability

Q: An individual golfer's scores have a mean of 90.4 and a standard deviation of 5.3. What is the…

A: given data μ = 90.4σ = 5.3P(x&lt;82) = ?

Q: Consider the probability that no less than 94 out of 149 people have not been in a car accident.…

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Q: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn.…

A: It is given that  Brown chair = 3 Black chair = 5 White chair = 4 Total chair = 12

Q: Describe the Lucas sequence in 1 or 2 sentences. Then, find the 9th and 10th terms of the Fibonacci…

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Q: Mr. Perez can get $5,000 with a probability of 0.4 or lose $2,000 with a probability of 0.6, if he…

A: Let X be the profit. Given that P(X=5000)=0.4 P(X=-2000)=0.6. The probability distribution is, X…

Q: The stemplot below shows the number of wins for each of the 30 Major League Baseball teams in 2009.…

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Q: Example: A (pseudo) random number generator on the computer can give a sequence of independent…

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Q: The following table shows the results of a survey of students taken at MPC (hypothetical). prefers…

A: Given data is    Prefers face to face courses Prefer online courses full time students 292 274…

Q: Two ordinary dice are rolled. Find the probability that at least one of them turns up a 6.

A:

Q: 5 men and 3 women sit together in a row. Find the probability that (a) the same gender is at each…

A: There are total 8 people. n= 5+3= 8 Number of women= 3  and number of men= 5  Total possible ways to…

Q: If there are 11 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: The total number of employees in a club is 11.

Q: The minimum fatigue life of rivets in the fuselage of a certain type of aircraft i modeled with a…

A: Weibull distribution: Let X be the Weibull random variable, fx=βαX-εαβ-1e-X-εαβ,…

Q: Three houses are available in a locality. Three persons apply for the houses. Each applies for one…

A: Given that, Three houses are available in a locality. Three persons apply for the houses. Each…

Q: The quadratic regression equation y = –0.1x2 + 143.99x – 13,242.84 models expected company profits…

A: The quadratic regression equation y = –0.1x2 + 143.99x – 13242.84 models expected company profits in…

Q: 2. Suppose the mgf of X is (a) Pr(X ≤) Mx(t)=¹, t#0 t = 0. (b) E(X²)

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Q: 6. What is the probability that a random 6-digit phone number (a sequence of digits between 0 and 9)…

A: According to the classical definition of probability, the probability of an event is the ratio of…

Q: for （a）, I think it should be 3/5

A: Given that, McDonald's Happy Meals are child-sized burger meals that come with a toy. Assume that…

Q: Two events A and B are such that P(A) = 0.58, P(B) = 0.33 and P(ANB) = 0.12. Calculate P(B/(AB)).…

A: Given that, A and B are two events such that P(A)= 0.58 P(B)= 0.33 P(A intersection B )= 0.12

Q: A study of elite distance runners found a mean body weight of 63.1 kilograms (kg), with a standard…

A: Given that  Mean = 63.1 kilogram  Standard deviation = 4.8 kilogram

Q: A bag contains 4 red balls and 6 black balls. 2 balls are chosen at random one by one without…

A: 4 red  6 black _____________ 10 total balls    select 2 balls at random without replacement P(both…

Q: P(z < 0.76) Express the probability as a decimal rounded to 4 decimal places.

A: Given ( z &lt; 0.76)

Q: How many committees can be formed by choosing 12 men from an organization of a membership of 20 men?

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Q: Page 327, 5.1.7.* Let X₁, ...,Xn be iid random variables with common pdf f(x) exp{-(x-20)}, x > 20,-…

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Q: City Cab, Inc., uses two dispatchers to handle requests for service and to dispatch the cabs. The…

A: Option 1 is the answer. Answer : Poisson arrivals and exponential service time Explanation : Since…

Q: Consider biased Coin flips with head probability p. Let T_n be the the number of flips required to…

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Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Solution-: This exercise refers to a standard deck of playing cards. Assume that 5 cards are…