Compute the probability of each of the following events (i) X <1 1/2 (ii) XY is even

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A: Given Information: 93% of the guilty suspects are properly judged 7% of the guilty suspects are…

Q: the cable company says they will be at your house to fix the cable between 9am to 3pm. it is equally…

A: given  Cable company says to fix cable from 9am to 3pm and x denotes the amount of time a person…

Q: A factory received a shipment of 36 capacitors, and the vendor who sold the items knows there are 5…

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Q: Compute the probability P(Y= k), where is a positive integer. Your answer can include the variable…

A: From the given information, X is a uniformly distributed random variable on (0, 1). Y is geometric…

Q: n. it is known that of the inmates are under 25 years of age. It is also known that of the inr f age…

A: *Answer: Here the data of the prisoners is given. The data is represented as below,   Male Female…

Q: The following is the probability of internet interruptions in one month in a XYZ company P(X=xi)…

A: The objective is to find out the average number of internet interruptions per month in a XYZ company…

Q: A particularly long traffic light on your morning commute is green 22% of the time that you approach…

A: The binomial distribution is frequently used to model the number of successes in a sample of size n…

Q: Let f(x) is probability function of discrete random variable x then Σικ) 1 صواب

A: Let, f(x) be the probability density function of district random variable X. we know that the…

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A factory received a shipment of 9 flanges, and the vendor who sold the items knows there are 2…

A: According to the provided information, there are 9 flanges and 2 flanges in the shipment that are…

Q: The probability that an item made by a certain company will bedefectiveis 0.1. Compute the…

A: Given : probability of success = p = 0.1 probability of failure = q = 1 - p…

Q: he manager of Toy World has decided to accept a shipment of electronic games if none of a random…

A: This problem can be solved using the binomial distribution formula.

Q: Find the total probability of the event A if X is a normally distributed random variable with…

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Q: With continuous random variables, we never calculate the probability that X has a particular…

A: The continuous random variable takes any values within two admissible values and the probability…

Q: -babilitv ... er X oi , 19. Suppose the two events A and B are mutuaily exclusive. What is the…

A: Given is : Suppose ,Two events A and B are mutually exclusive We know that; By definition : If two…

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A: Let X be a random variable repressing amount of time you have to wait at a dentist office before you…

Q: Between 12:00 pm and 1:00 pm, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour…

A: Given: probability can be used to determine the probability that a car will arrive within t minutes…

Q: The probability that a 28-year old male in the US will die within one year is approximately 0.001…

A: Given information:Probability that a 28-year old male in the US will die within one year is…

Q: A thermocouple placed in a certain medium produces readings within 0.1°C of the true temperature 70%…

A: Total number of independent readings is 10. There is about 70% of the time the readings within of…

Q: x is the number of defective parts in a sample of 10 randomly selected parts coming from a…

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Q: A sample of size 200 is taken at random from an infinite population. Given that the population…

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Q: A man and a woman agree to meet at a cafe about noon. If the man arrives at a time uniformly…

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Q: Suppose X has a binomial random variable with n = 50 and p =0.4, then which one of the following…

A: we have given that,  X has a  binomial distribution with n= 50 and p= 0.4, Binomial (n=50, p= 0.4)…

Q: It has been shown that the probability of a plane arriving on time at the Albany International…

A: Let us denote X= the number of planes which arrives on time at the Albany International Airport…

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

A: Given Information: p = 0.238 n = 500 Let X be the number of individuals who regularly skip breakfast…

Q: Suppose that the time between calls at a customer service center, X, has an exponential distribution…

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Q: z is from N(0,1). 11. The chance to have rainy day in a small town at California is 0.2 everyday,…

A: From the given information, the chance to have rainy day in a small town at California is 0.2 every…

Q: The probability that a 22-year-old female in the U.S. will die within one year is approximately…

A: Given that the company will pay  $30,000 life insurance with a probability of 0.00044.   So the…

Q: Suppose that the probability of a hurricane striking a state in any single year is 1 in 10 and that…

A: Given that the probability of a hurricane striking a state in any single year is 1 in 10.  This…

Q: A dice is loaded in such away that each odd number is twice as likely to occur as each even number.…

A: Obtain the probability of event that a number greater than 3 occurs on a single roll of dice.…

Q: if all other factors are held constant which of the following results in an instead in the…

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Q: Q1) (. ) find the probability of the following events: a. Even face of a die in 3 consecutive single…

A: If single die is rolled, there are six possible outcomes (1, 2,3,4,5,6)  a) P(even face) = 3/6 = 1/2…

Q: 10. Assume that hitting oil at one drilling location is independent of another, and that, in a…

A: Given data are: Probability of success at an individual location is 0.3 Probability of a failure is…

Q: . The reliability of a test for a skin disease SD is as follows: If the subject h positive 98% of…

A: we have to find the probability of person who actually has sd.

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: Calculate the probability that is between 0.2  and 0.7, if x is uifomly distributed in  the interval…

A:

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

A: Solution : Given that : p = 0.238n = 500mean = np            = 500 × 0.238            = 119sd =…

Q: Find the expectation of a discrete Random variable whose probability function is fx (x) = for x I,…

A: Answer: Using the given data, We get,

Q: for x >1 f(x) = otherwise Given that a randomly selected home is insured for at least 1.5, what is…

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Q: The probabiltity that a person selected at random from a population will exhibit the classic symptom…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: Show that the Cauchy probability distribution does not have the first moment that is, E(X) does not…

A: The objective is to show the first moment does not exist for cauchy distribution

Q: It has been shown that the probability of a plane arriving on time at the Albany International…

A: Let us denote X= the number of planes which arrives on time at the Albany International Airport…

Q: For a fully discrete whole life insurance of 1000 on (20) : (i) Mortality follows the Illustrative…

A: Given,                 Sum assured=1000         Current age=20 Annual premium=6

Q: The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages…

A: From the provided information, Sample size (n) = 1000 17.9% of women ages 12-59 test seropositive…

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 16…

A: Let the R.V X denotes the number of defective pens and it follows the binomial distribution with…

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

A: Population proportion: P=0.238 Sample size= n= 500 a) To find probability that number of…

Q: If X denotes the sum of the numbers obtained when 2 dice are thrown, obtain an upper bound for P{\X…

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Q: The probably not correct. states that if, under a given assumption, the probability of a particular…

A: As we know that according to given defination we can say that the rare rule in the inferential…

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: Suppose a life insurance company sells a $280,000 one-year term life insurance policy to a…

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