A card is drawn from a well shuffled pack of 52 cards. Find the probability of: a. a non-ace b. a king c. neither a queen nor a jack.

Q: The service time for a passport application in a certain government office is modelled as an…

A:

Q: 2. Suppose A, B and C are sets. Prove that A (BC) = (AB) U (ANC). [Prove this using elements of…

A: We know that,  A\ B can be written as (A n Bc)  then (B\C) = (B n Cc)

Q: From bag A having 2 Red, 1 Black balls and from bag B having 3 Red, 2 Black balls, 1 ball each is…

A: From given data we have : Bag A has 2 red and 1 black balls. Bag B has 3 red and 2 black balls.

Q: Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is…

A: Given X=29,if diamond appear,otherwise X=-4

Q: peyton has 2 pizzas.eac pizza is cut into 10 equal slices.she and her friends eat 14 slices what…

A: there are 2 pizza each pizza cut into 10 equal slices.  eat 14 slices  parts of pizzas they eaten  =…

Q: The number of parking tickets issued in a certain city on any given weekday has a Poisson…

A: Given Mean=50

Q: Suppose X follows a continuous uniform dis- tribution from 1 to 5. Determine the conditional…

A: Given that  X follows a continuous uniform dis-tribution from 1 to 5.

Q: Problem 3. Suppose a test for detecting a certain rare disease has been perfected that is capable of…

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Q: Give an example of a not mutually exclusive events probability. The topic should be related to…

A: Generally, a mountain consists of trees, animals ,waterfalls,etc. According to probability,two…

Q: Use the following sample to estimate a population mean μ. 65 65.2 47.1 85.4 63.9 68.3 57.1 69.6 36.8…

A: Given n=12 Alpha=0.01

Q: (b) Let Z be a discrete random variable with E(Z) = 0. Does it necessarily follow that E(Z³) = 0? If…

A: Given that, Z is discrete random variable. We know that,  E(z)= ∑Zi*p(zi) Where p(zi) is the…

Q: Roll a pair of four-sided dice. If the sum is 2 or 8, win $10. If the sum is 3 or 7, win $5.…

A: roll a four sided dice , outcomes: {1,2,3,4}   roll pair of four sided dice total outcomes = 4*4 =…

Q: A vendor of electrical equipment received six low voltage transformers from the manufacturer. Three…

A: Method: By using the hypergeometric probability mass distribution

Q: Problem 2. A carton of 24 light bulbs includes three are defective. If two of the bulbs are chosen…

A: We have given that  A carton have 24 light bulbs  3 are defective 21 are not defective We have to…

Q: Consider the pmf. $³ Show that P(X = x) is indeed a probability mass function. f(x) = P(X = x) = x,…

A: given pmf;f(x)=P(X=x)=16x,x∈{1,2,3}0,otherwise

Q: 2. Each person in a group of n people chooses another at random. Find the probability: (a) that…

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Q: A bag contains 6 white and 4 black balls.2 balls are drawn at random. Find the probability that they…

A: 10 balls=6(white)+4(black) nCr=n!/(r!(n-r)!) r!=r(r-1)×..3×2×1

Q: Researchers collected data on the numbers of hospital admissions resulting from motor vehicle…

A: The formulas used are Mean:        d¯=∑din Standard deviation:       sd=1n-1∑di-d¯2 95% confidence…

Q: If a population of raw scores is normally distributed and has a mean μ = 80 and 2 10. Determine the…

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Q: Q1: Suppose the number of customers X that enter a store between the hours 9:00 a.m. and 10:00 a.m.…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

Q: The mean lifespan of a generic brand of incandescent light bulbs is 962 hours with a standard…

A: given data, μ=962σ=107z-zcore =?p(875<X<1198)=?

Q: A fair coin is tossed n times. Show that, under reasonable assumptions, the probability of exactly k…

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Q: A coin which has probability 0.56 of coming up Heads is tossed three times. Let ?Y be the number of…

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Q: You roll a conventional fair die repeatedly. If it shows 1, you must stop, but you may choose to…

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Q: A symmetric random walk takes place on the integers 0, 1, 2, ..., N with absorbing barriers at 0 and…

A:

Q: risk probability distribution expected rate of return r^

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: We toss n coins, and each one shows heads with probability p, independently of each of the others.…

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Q: The PDF of the two independent random variables X and Y are shown in the image below. fx(x) fy(y)…

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Q: Marie and Sitka are painting a room together. They have a choice of mauve, lime green, or pale gold…

A: Marie and Sitka are painting a room together. They have a choice of mauve, lime green, or pale…

Q: 5.20. Use the definition (5.15) of the probability of an event to prove the following basic facts…

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

Q: . The average statistics midterm score is 73 point (out of a possible 100 points) with sample…

A: Given,The average statistics midterm score μ=73standard deviation, σ=7.3sample size (n) = 36

Q: Show that the characteristic function of a random variable X satisfies |1 - 0(t)| ≤ EtX.

A:

Q: A population of values has a normal distribution with μ = 47.4 and o = 41.4. A random sample of size…

A: Given Mean=47.4 Standard deviation=41.4 n=189

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8554 g…

A: given data, normal distribution,μ=0.8554σ=0.052n=447p(x>0.8539)=?

Q: Suppose that 2% of transactions in a region are fraudulent. Transactions are assumed to be…

A: In question, Given that 2% of transactions in a region are fraudulent. Transactions are assumed to…

Q: Infant birth weights are normally distributed with a mean of 8 pounds and a standard deviation of…

A: Given,mean(μ)=8standard deviation(σ)=0.8

Q: n a survey of 18 year old males, the mean weight was 160.5 pounds with a standard deviation of 46.4…

A: GIVEN DATA, μ=160.5σ=46.4we have to find out the percentile for the given data

Q: Finding the probability of a range looks kinda tricky. How do I do it? Type your Answer DO

A: introduction From the above question we have to Finding the probability of a range looks kinda…

Q: There are four boxes, each containing five coats: a red coat, a blue coat, a green coat, a yellow…

A: There are total 5 coats then probability of selecting any coat is p= 1/5  There are 4 people who…

Q: A coin which has probability 0.82 of coming up Heads is tossed three times. Let Y be the number of…

A: Y be the number of tails given  Given  probability of head =q=0.8

Q: Five bands in a tour agree to determine the order of a performance based on a random selection. the…

A: given data  5 bans selected in random order P(ultraviolet performing 4th and abacus performing last)…

Q: Choose P, Q, and R uniformly at random within the convex region C illustrated beneath. By…

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Q: For what values of the parameters are the following functions probability density functions? (a)…

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Q: Show that it is possible to position a convex rock of surface area S in sunlight in such a way that…

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Q: What do you think of the following 'proof' by Lewis Carroll that an urn cannot contain two balls of…

A: given that, the urn contains two balls

Q: : Let (X, r≥ 1} be the integer-valued identically distributed intervals between the times of a…

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Q: The probability that a carton of eggs taken from the cooler at a store will have at least one…

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Q: A coin is tossed n times, and heads turns up with probability pon each toss. Assuming the usual…

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Q: Drafa is a fictional recessive disease corresponding to genotype dd Two parents show no symptoms so…

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Q: A random variable X is normally distributed with mean 32 and standard deviation 8.2 Find the z…

A: Answer: From the given data, X is a normally distributed random variable Mean μ = 32 Standard…