n population the probility that a person likes to drink coffee is 0.62, the probability that a person likes to drink tea is 0.48 and the probability that a person likes to drink coffee and tea is 0.35. what is the probability that a person likes to drink coffee or tea?

Q: Find the indicated probability using the standard normal distribution. P(Z < -0.25). Click here to…

A: Z has follows standard normal distribution with mean zero and standard deviation one.

Q: 5. Let (X, Y) have joint pdf f(x, y) = ½ on D = {(x, y) : x² + y² ≤ 1} and f(x, y) = 0 otherwise.…

A: Probability Density Function (PDF): Understand what a joint probability density function is. In this…

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative…

A: From the provided information,The cumulative area is 0.4708.

Q: Which of the following contour plots describes a Gaussian distribution with diagonal covariance?…

A: Here we have to identify the correct shape of Gaussian Distribution with diagonal covariance

Q: Suppose the number X of tornadoes observed in Kansas has a Poisson distribution with A 9 per year. =…

A:

Q: 2. A discrete random variable X takes all positive integer values {1, 2, 3, 4,...) and has…

A: F(K)=1−13k

Q: Students were surveyed on campus about their study habits. Some said they study in the morning,…

A: A contingency table regarding students when and how study, is given.

Q: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street…

A: The random variable   represents the waiting time for the pedestrian signal. The PDF of random…

Q: In a production line that makes resistors, 5 resistors are discarded per hour on average due to…

A: Given information:In a production line that makes resistors, 5 resistors are discarded per hour on…

Q: Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank…

A: The random variable  represents the number of customer arrivals during a minute period.The X takes…

Q: Please show work. X and Y are two discrete random variables having the joint probability…

A: Cov(X,Y)=E(XY)-E(X)E(Y)corr(X,Y)=Cov(X,Y)V(X)V(Y)

Q: License plates in a particular state are to consist of 3 digits followed by 3 uppercase letters. ​a)…

A: Given:License plates in a particular state are to consist of 3 digits followed by 3 uppercase…

Q: A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll,…

A: We have given thatn = 914x = 556confidence level (c) = 0.95

Q: 12. Use the following information and answer the next two questions: The Journal of Finance…

A: The total number of adults in the sample is 158,044.

Q: Card Mom their own deck. Compute the probabi a. Bert and Ernie both draw an Ace. 1/169 b. Bert draws…

A: We know thatThere are 52 cards in the deck divided into two colour i.e red (26) and black (26).…

Q: Suppose that X ~ Exp (A) for some X > 0. If Y = X¹/a for some a > 0, show that Y is absolutely…

A:

Q: The diameters of ball bearings are distributed normally. The mean diameter is 53 millimeters and the…

A: From the provided information,

Q: Let X- Unif[-2, 2], and Y = (x + 1)². (a) Find fy() and fy(4), where fy() is the probability density…

A: X~U(-2,2)

Q: Jeff, a sales manager of a car dealership, believes that his sales force sells a car to 35% of the…

A: As his sales force sells a car to 35% of customers who stop by the shop then probability of selling…

Q: Assume a member is selected at random from the population represented by the graph. Find the…

A: X~N( μ , ?)μ=20.2    , ?=5.4Z-score =( x - μ )/?

Q: Please show work. Given a continuous random variable X with probability density function: a) What…

A: Given a continuous random variable X with probability density function:

Q: Given the probability density function: f(x): = Calculate: 0.08x 0.16 for 2 ≤ x ≤7 elsewhere 0 a)…

A: f(x)=0.08x-0.16 ; 2≤x≤7

Q: Based on historical data, your manager believes that 25% of the company's orders come from…

A: n=81p=0.25

Q: Industry A is responsible for producing 60% of cements in Lebanon while Industry B produces the…

A:

Q: An urn holds 4 red, 3 blue, and 2 green marbles. Three marbles are selected, altogether, without…

A: Given that, the urn holds 4 red, 3 blue, and 2 green marbles.Three marbles are selected, altogether,…

Q: To determine customer opinion of their service, Business Depot randomly selects 60 stores during a…

A: It is needed to define the sampling method.

Q: Calculate the probability that the gold component is neither sufficiently pure nor sufficiently…

A: The quality of a manufactured gold component is assessed for both its purity and its…

Q: Let X₁, X₂,... be independent random variables, each taking a value of either 1 (with probability p)…

A: Given:Let  be independent random variables, each taking a value of either 1 (with probability p) or…

Q: A bag contains 9 Cherry Starbursts and 21 other flavored Starburts. 10 Starbursts are chosen…

A: There are total 9 cherry starbursts and 21 other flavoured starbursts.

Q: The joint probability distribution of the random variables is f(x,y)= 8xy, 0<=y<=x<=1. fine the…

A: The joint probability distribution of the random variables is

Q: The following observations are on stopping distance (ft) of a particular truck at 20 mph under…

A: The formula to calculate the sample mean is,The formula to calculate the standard deviation is,The…

Q: en the following probabilities. = 0.07 5.7 = 0.45 operties of probability trees to complete the…

A:

Q: (a) (c) = 0.9854 (b) P(0 ≤Z≤ c) = 0.2995 (c) P(c≤ Z) = 0.1271

A:

Q: Q 4.2. Let (X, Y) be a random variable with the following density: 15x²y 0 0<x<y <1, otherwise.…

A: Joint pdf of X and Y is f(x,y)=15x2y; 0&lt; x&lt;y&lt;1

Q: 6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is…

A:

Q: Consider the PDF f(x) = (1/2)(x+1), -1<x<1 Find the PDF for Y = 1-|X|

A: Probability Theory:Understand the concept of probability, random variables, and probability…

Q: On a standard normal distribution, what percentage of scores lie within 2.94 standard deviations on…

A: To find the probability that a score lies within 2.94 standard deviations on both sides of the mean…

Q: d) If probability density functions of a random variable x is f(x) = {X² for-1≤x≤1 for any other…

A: f(x)=x2 ; -1≤x≤1

Q: Coronary bypass surgery: A healthcare agency reported that 87% of people who had coronary bypass…

A: The sample of coronary bypass patients, The percentage of people who had coronary bypass surgery is…

Q: A box of shoes contains a random mix of shoes that can be either left or right and can also be…

A: The provided information is as follows:A box of shoes contains either left or right-footed shoes and…

Q: the outcomes. 1. What is an appropriate sample space for this experiment? a. S = {AAA, N, TT, R, I,…

A: It is given that the word ANTARTICA.

Q: (a) Find the probability that a randomly selected high school student who took the reading portion…

A: X~N( μ , ?)μ=23.2     , ?=5.5Z-score =( x - μ )/?

Q: A uniform random variable X has a probability density given by: 1/0≤x≤2 otherwise f(x) = The mean of…

A: Mean=1, variance=13

Q: We have a 10-character sequence where a machine selects each character of the sequence independently…

A: Given:1. Total characters =26(lowercase )+26 (uppercase )+10( digits )=62.2. Number of digits =10.

Q: The number of raisins in a randomly chosen Jamaican spice bun can be modeled as a random variable…

A: The random variable number of raisins follows Poisson distribution with mean 5.2.

Q: (b) What is the probability that preparation time exceeds 26 min? 0.9 ng Saved Work Revert to Last…

A:

Q: q1 Consider one - persistent CSMA. There are two contending stations having a packet ready, and both…

A: Consider one - persistent CSMA. There are two contending stations having a packet ready, and both…

Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…

A: Given,Number of red chips, n(red) = 5Number of blue chips, n(blue) = 3Number of orange chips,…

Q: Let X₁/Xn ~ N( M₂ ~ ² ) what is MLE for M₂ 2²

A: X~N(μ,σ2)

Q: Find the z-score that has 3.851% of the distribution's area to its left. The Z-score is (Round to…

A: The formula of the Z-score is,Where,X denotes the raw data point, µ denotes the population mean,σ…