Suppose P(X1) = .75 and P(Y2|X1) = .40. What is the joint probability of X1 and Y2?

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A: To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin…

Q: D. Based on the ercent chance of

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A:

Q: If a researcher wants to estimate the proportion of customers of a coffee shop that favor the new…

A: Given data: Margin of error ( E) = 0.08 Population proportion = 0.75 Confidence level = 0.95 To find…

Q: If x is a binomial random variable with n = 10 and p = 0.8, what is the probability that x is equal…

A: It is given that X follows a binomial distribution. The PMF of binomial distribution is given by,

Q: 18) The probability of heavy traffic on a provincial highway is 20%, while the probabilities of low…

A: 18) Let X be the annual maintenance cost. The annual maintenance costs of the highway are $20,000 in…

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A: Given data: The lowest limit of time to prepare the equipment is p=20 minutes. The highest limit of…

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A: Consider X be a random variable which follows binomial distribution indicates the blood sample of…

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A: Joint Probability Distribution: Let there are two random variables X and Y. Then the joint…

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Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: We have to find given probability.

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Q: If X has a geometric distribution with θ = 13 , findthe formula for the probability distribution of…

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Q: 5) If you were the attacker, and knew that your opponent was trying to maximize their probability of…

A: Given that the attacker is going to attack site i with probability qiqi and selecting a site to…

Q: A recent survey showed that 17% of households spend more than $100 per week on groceries. Assume the…

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Q: It is a well-established fact that 40% of people are scared of squirrels. If we take a SRS of 50…

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Q: a proportion of 0.4 are not satisfied with the service offered by the store. In a random sample of…

A: According to central limit theorem if the sample size n and population proportion p satisfies np≥10…

Q: The United States Department of Agriculture (USDA) found that the proportion of young adults ages…

A: Given that, n =500, p =0.238 The values of mean and standard deviation are,   Checking conditions:…

Q: Suppose X is an exponential random variable, and E(X) = 2. Find the probability that X will be…

A: Given, μ=2  σ2=22 σ=2   Probability density function of x is, p(X=x)=12e-x2…

Q: A hospital is examining a new detection kit for pancreatic cancer. The results of an early clinical…

A: To calculate: what is the probability that he/she actually has pancreatic cancer?

Q: D) The probability of surviving 2 years after being diagnosed with a slow-progressing form of…

A: The correct answer is Option D.   The probability of surviving year 1 after being diagnosed with a…

Q: A gambler playing blackjack in a casino has lost each of his first 16 bets. If he correctly…

A: Probability is a number expressing the likelihood that a specific event will occur,expressed as the…

Q: Around 5 percent of patients actually have mononucleosis p(M) = .05. 90 percent of patients with…

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Q: It has been found that 2 out of every 10 people who visit a retail website make a purchase worth R1…

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Q: If x is normally distributed with μ = 40.0 and σ = 4.0, determine the following probabilities.…

A: Given: Population mean (μ) = 40.0  Population standard deviation (σ )= 4.0

Q: find the mean of the random variable X (ii) If the probability that an individual will suffer a bad…

A: Solution:

Q: For a poisson random variable (x) with a mean of 3.3; p(x>11) =?

A: The value of P (X >11) is obtained below:It is given that in the value of mean is 3.3 that is…

Q: If MGF of random variable X is e*+Sr, find Prob(-1 <X<9).

A:

Q: For a continuous probability distribution, 0≤x≤120≤x≤12.  What is P(x = 5)?

A: For continuous distribution the probability as a particular point always equal to zero. For example…

Q: cA local jam production company is confident that 60% of the population will like its new grapefruit…

A: p= 60%= 0.60 q= 1-p = 1-0.60= 0.40 Sample size, n= 200 We know that, expected value of x of binomial…

Q: A certain pack of collectible baseball cards has a 20% chance of containing an autographed baseball…

A: Obtain the probability that Jin will get his first autographed baseball card on the 5th pack that…

Q: For a random variable X, (E(X))² can be greater than E(X²).

A: We have to find statement is true or false.

Q: he average weight of a Coastal male Grizzly Bear is approximately normal with E(x) =795 pounds and…

A:

Q: 6. Suppose that 60% of the soda-drinking population favors Coca-Cola over Pepsi. Also, suppose you…

A: Here use distribution of sample proportion

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A: Given data, p=0.60 n=10 P(X&lt;2)=?

Q: For the probability distribution of a discrete random variables, the probabilities of any single…

A: The probability can't be exceed than 1 for any distribution.

Q: Suppose you are told that among Atlantic salmons, the proportion of salmons suffering from a viral…

A: 1)  Given information: The proportion of salmons suffering from a viral infection=p=0.085 p^=0.90 n…

Q: A manufacturer of tablet ipods is concerned about the possible recall of their best-selling model.…

A: If A and B denotes two events, the probability of happening of A or B can be expressed as PA∪B. The…

Q: It is known that the length of a certain product X is normally distributed with u = 33 inches and o=…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: The probability that the adult is infected with virus is 0.004. When at least one of the person has…

Q: If X has a binomial distribution with n = 3 and θ = 13 , find the probability distributions of(a) Y…

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Q: If you fail to reject the null hypothesis at the 5% level, then the probability that you are wrong…

A: Given Data: Level of significance=0.05   Type 2 Error: When we fail to reject the null hypothesis,…

Q: If Xis a random variable having a binomial distributionwith n = 20 and p = 0.4, and Y is a…

A: The random variable X has a binomial distribution with n=20 and p=0.4. Here Y=2X+3.

Q: For the probability distribution of a discrete random variables, the sum of the probabilities of all…

A: For the probability distribution (discrete) to be valid, the following conditions must follow- Each…

Q: A production line estimates that 1.5% of the items it produces is defective. In a package containing…

A: It is given that the A production line estimates that 1.5% of the items it produces is defective…

Q: One study has reported that the sensitivity of the mammogram as a screening test for detecting…

A: Sensitivity of the disease = 0.88 Specificity of the disease = 0.75 P(woman has disease) = 0.0015

Q: At age 50, Ann must choose between taking $18,000 at age 60 if she is alive then, or $32,000 at age…

A: Given The probability of a person aged 50 living to be 60 is 0.81The probability of a person aged 50…