10.2% of the population is 65 or older. Find the probability that the following number of persons selected at random from 20 people are 65 or older. The probability that none are 65 or older is. (Type an integer or decimal rounded to the nearest thousandth as needed.)

Q: You are given these facts: p(A | B) = 5/11. p(B) = 11/16. p(A) = 4/16. What is p(AB)? 15/32 5/12…

A: According to the given information in this question We need to find the following probability

Q: While doing an experiment, a physics student recorded the following sequence of elapsed times (in…

A: According to the given information, we have Total number of observations = 7

Q: e mean of the new sample is mplify your answer. Type an integer or decimal rounded to the nearest…

A: We have given that,  28, 34, 47, 36, 50, 36, 32 After subtract 10 from each sample then the new…

Q: The stem-and-leaf display represents scores achieved on a 100-point biology exam by the 32 members…

A: According to the given information, we have The stem and leaf is given.

Q: Given two independent random Bin(n, p) with mgf my (t) of X + Y. variables, X ~ Bin(m, p) with mgf…

A: Random variable x ~Bin(n, p) with mgf mx(t)={pet+(1-p)}n   and random variable y~Bin(m, p) with mgf…

Q: Determine whether the following individual events are overlapping or non-overlapping. Then find the…

A: Given problem Given that Getting a sum of either 5, 9 or 12 on a roll of two dice.  The outcomes…

Q: The following table represents the highest educational attainment of all adult residents in a…

A: According to the given information, we have Given that the table represents the highest educational…

Q: Alice flips a fair coin 3 times. Let A be the event that all 3 flips come out Heads. Let B be the…

A: Alice flips a fair coin three times Then the sample space is…

Q: A coin will be tossed twice, and each toss Give the sample space describing all possible outcomes.…

A: A coin is tossed two times and each toss will be recorded as Heads( H) or Tails (T).

Q: The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1200…

A: Solution-: Given: μ=1200,σ=100 We want to find P(light bulbs last between 1100 hours and 1300…

Q: But isn't the mean of the gamma distribution aplha (beta)

A: If alpha is a shape parameter and beta is scale parameter.

Q: On a certain test, the mean is 100 with a standard deviation of 15. The results come very close to…

A: According to the given information, we have Mean = 100 Standard deviation = 15

Q: Problem 1 Suppose a researcher for the Department of Education wants to determine whether students…

A: According to the given information in this question We need to construct 90% confidence interval and…

Q: Find the probability that a randomly chosen student received an A in general chemistry or calculus.

A: In a recent semester at a local university, 530 students enrolled in both General Chemistry and…

Q: 5. Let U and V be independent random variables, with the probability density functions 82 s≥1 {…

A: U and V are independent

Q: For the following list of data, calculate (a) the mean, (b) the median, and (c) the mode or modes…

A: (a)   The value of mean is obtained below as follows:   That is, The value of mean is 12.

Q: a. Show that F(x) is given by Fs(x) = 0 (i) Pr(S≤ 0.5) (ii) Pr(S≤ 1.0) (iii) Pr(S≤ 1.5). x³ - 3(x -…

A:

Q: Approximate the normal probability with an error of less than 0.0001, where the probability is given…

A:

Q: You perform an experiment n times, each of which has a probability p of success. What's the…

A: From the provided information, We perform an experiment n times. The number of trials = n The…

Q: (a) Check the outcomes for each of the three events below. Then, enter the probability of each…

A: The letter R indicates that a bean is red, and the letter W indicates that a bean is white. The…

Q: A patient is classified as having gestational diabetes if their glucose level is above 140…

A: Given mean=142, SD=3, X=140, U=2

Q: X given Y.   Y=0 Y=1 Y=2 Y=3 Y=4 X=0           X=1           X=2

A:

Q: The lifetime T (in months) of the battery in a certain type of calculator may be described in terms…

A: (f) The total lifetime of the battery in the calculator is the sum of the time it lasts with Michael…

Q: Mario sells men’s and women’s shoes in his shoe store. He is considering selling children’s shoes.…

A: The information provided in the question are as follows :- Number of people surveyed (n) = 120 42…

Q: A single fair eight-sided die is rolled. Find the probability of getting a number less than 3. The…

A: Answer:- Given, A fair eight-sided die is rolled. So,  The sample space is, S ={1, 2, 3, 4, 5, 6, 7,…

Q: Suppose that an experiment consists of picking at random a binary string of length six. Consider the…

A:

Q: X and Y have joint PDF  f_X,Y(x,y) = 2, x>=0 , y>=0, x + y <=1 and 0 o/w. What is the CDF and PDF…

A: To find the CDF and PDF of V=max(X,Y) and W=min(X,Y), we need to first find the marginal PDFs of X…

Q: 5. A gardener buys a package of seeds. Seventy-four percent of seeds of this type germinate. The…

A: The random variable X is the number of seeds germinated It has the binomial distribution The sample…

Q: Standard Normal Curve Areas (page 1) Areas under the Normal Curve The column under A gives the…

A:

Q: You are given the following definition for a present value random variable, for 0 ≤ Tx E(Y)]. You…

A:

Q: Each day, two children leave their home at 9am to play along the bank of a stream that runs past…

A: (a) We need to find P(|X(2)| &lt; 50), where X(2) is the position of the children after 2 hours.…

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

A: Given that  The bag contains marbles as follows Red marbles = 3 Green marbles = 4 Lavender marble =…

Q: A population of 80 rats is tested for 4 genetic mutations after exposure to some chemicals: mutation…

A: From the given information,  A population of 80 rats is tested for 4 genetic mutations after…

Q: In the following painting you want to paint a square of blue and the other green. How many ways can…

A: The given image of squares is shown below The total number of squares in the image =12 Two squares…

Q: During a sale at a men’s store, 10 white sweaters, 3 red sweaters, 7 blue sweaters, and 6 yellow…

A: To find the number of possible different choices with no restrictions, we need to find the total…

Q: Use the theoretical probability formula to solve the problem. Express the probability as a fraction…

A: Total No of cards =52

Q: Find the mean and variance for the binomial distribution, P=0.56 and n= 8

A: Number of trials n=8 Success of probability p=0.56 X~binomial (n,p)

Q: Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their…

A: 87,108,124,165,180,189,108,247,132,132,119,268

Q: 4. The continuous random variable X has a lognormal distribution if the random variable Y = In(X)…

A: import numpy as np sample = np.array([5.75, 5.73, 5.57, 5.67, 5.42, 6.02, 5.85, 5.39, 5.50, 5.37,…

Q: A machine producesbearings with diameters that are normally distributed with mean 3.0005 inches and…

A: A machine producesbearings with diameters that are normally distributed with mean 3.0005 inches and…

Q: Two samples are given. Find each sample's a) standard deviation and b) coefficient of variation.…

A: Sample  A : 2,6,3,8,9 Sample  B : 8,10,10,3,5,3,7

Q: find the probability that the student receives: No offers At most two offers Between two and four…

A: let  X denotes the number of job offers the student receives out off the five firms she applied to.…

Q: 3. Let Z~ Normal(0, 1), and let Q(1) = Pr[Z > 1]. (There is no closed form for Q(1), but it is…

A: Let Z~Normal0,1 Let Q1=PZ&gt;1≈0.159 The pdf of Z is, fz=12πe-12z2

Q: As the net annual family income increases, does the Canada Child Benefit paid increase or decrease?…

A: Regression equation representing the linear relationship between the Canada Child Benefit provided…

Q: Consider the frequency distribution to the right. Complete parts (a) through (c) below. (a) Find the…

A: Data is given for value and frequency :  Mean = sum(f*x) / N  N = sum(f)  Median = mid value  Mode =…

Q: Express the confidence interval (0.071,0.163) in the form of p-E<p<p+E. <p<(Type integers or…

A: According to the given information, we have Confidence interval = (0.071, 0.163)

Q: The table shows, for four cruises, the numbers of crew members, passengers, and entertainers (not…

A: Cruise Crew Passengers Entertainers Cruise1 183 1600 40 Cruise2 224 3200 65 Cruise3 172 1200…

Q: Write the statement in the form "if p, then q." A decagon implies that it is a polygon with 10…

A: Given  Statement : A decagon implies that it is a polygon with 10 sides.   We are writing  this…

Q: P(A) = 0.51, P(B) = 0.27, P( B | A) = 0.25 Using the provided data, find P(A and B)? Round…

A: Answer: From the given data, P(A) = 0.51 P(B) = 0.27 P(B | A) = 0.25

Q: supermarket conducted a survey of 1000 consumers. Their population was “adults who shop for…

A: Solution:- Sampling bias, non-response bias, and response bias are common sources of bias that can…