a normal deck of cards, with 52 cards creating four suits including hearts, spades, diamonds, and clubs, p(Red Card) = ? A. 1/52 B. 13/52 C. 26/52 D. 4/52

Q: The following table presents the probability distribution of the number of vacations X taken last…

A: p(X=0)=0.12p(X=1)=0.62p(x=2)=0.14p(X=3)=0.10p(X=4)=0.02

Q: A random variable has CDF given by     ??={??=0,1,2 1 ?=3    if A = 0.86, then what is ?3 ? Round…

A:

Q: what is the expected fair price to pay for a ticket?

A: In an lottery there are 200 prizes of sh.5, 20 prizes of sh.25, and 5 prizes of sh.100. Assuming…

Q: Please provide steps for how you got the solution to the problem provided in the photos below. I…

A: (i)

Q: 4) The 90% confidence interval of the mean 5) Construct a complete hypothesis test and determine…

A: Introduction:  The purpose of this research is to investigate the relationship between balance and…

Q: Suppose that a family has 3 children. Also, suppose that the probability of having a girl (based on…

A: family has 3 childrens P(boy)=P(girl) = 12P(family has no girl) = ?

Q: 1. Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process.…

A: Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process. X…

Q: 1) Suppose we have the following transition matrix 0 0.6 0.4 0.5 0 0.5 0.2 0.8 0 a) Find the steady…

A: Given the transition probability matrix as P=00.60.40.500.50.20.80

Q: A California license plate has 1​ digit followed by 3​ letters followed by 3​ more digits. How many…

A: No.of digits from 0 to 9=10No.of letters from A to Z=26

Q: A bag contains 6 green M&Ms, 8 red M&M, 4 yellow M&Ms and 2 blue M&Ms. a.  If a M&M is drawn from…

A: Number of green M&M  n(g)=6 Number of red n(r)=8 Number of yellow n(y)=4 Number of blue n(b)=2…

Q: if (a) the ball selected is not returned to the bin before the next ball is selected and (b) the…

A: Bin containing 50 balls labeled with the numbers 1, 2, ... ,50 . SO Total 50 balls in bin.…

Q: A radio producer measures the duration of 52 randomly selected songs played on the radio station's…

A: given data sample size (n) = 52sample mean ( x¯ ) = 4.13 minutessample standard deviation (s) =1.10…

Q: For the experiment described below, let x determine a random variable, and use your knowledge of…

A: Three balls are drawn without replacement from the bag. bag contains 5 red balls and 6 blue balls.…

Q: How many ways are there to select 3 cards from the following deck of 50 cards such none of them…

A: Total number of cards=50 5 rows of different 5 letters 10 columns of different numbers from 0-9

Q: (Hint: Recall that 1 is neither prime nor composite.) The probability is (Simplify your answer.)…

A: Solution

Q: Suppose 55% of the doctors in a hospital are surgeons. If a sample of 496 doctors is selected, what…

A: In hospital ,  There are 55% of doctors are surgeons  Sample size = N = 496  P(sample proportion of…

Q: 3. Let X₁, X2, ..., X200,000 be i.i.d. random variables each with mean 10 and variance 5. Let Y = X₁…

A: The random variables X1, X2, …, X200,000 are independent and identically distributed, each with…

Q: A market researcher for a consumer electronics company wants to study the media viewing behaviour of…

A: Answer: From the given data, sample size(n) = 40 sample mean(x¯) = 38 Standard deviation(s) = 5.9…

Q: if we have D=120 -(7/8)T what is the slope

A: The given equation is D=120-78T.

Q: One of the truly impressive applications of statistics occurred in connection with the design of the…

A: The given problem involves hypothesis testing and sample size determination. The objective is to…

Q: Xavier and Yolanda both have classes that end at noon and they agree to meet every day after class.…

A: From the given information, Xavier's arrival time is X and Yolanda's arrival time is Y. The…

Q: For each binomial probability statement​ below, determine the corresponding normal distribution…

A: Suppose the random variable x follows binomial distribution.

Q: What is the probability of selecting a girl among all those who are 5, 6, or 7 years old? (Table…

A:

Q: Let P(Z)=0.46, P(Y)=0.41, and P(ZNY) = 0.19. Use a Venn diagram to find (a) P (Z'NY'), (b) P…

A: P(Z)=0.46 P(Y)=0.41 P(Z∩Y)=0.19

Q: For the experiment of rolling a single fair die, find the probability of obtaining not less than 2.…

A: When a die is rolled the outcomes are S={1,2,3,4,5,6} n(S)=6

Q: Suppose the spinner shown to the right is spun once, to determine a single-digit number, and we are…

A: All sectors of the spinner are the same size and each sector represents a single number. E be the…

Q: Jim has the best batting average on the school baseball team. In his last 25 at bats, he had 11…

A: Answer:- Given, Jim hits 11 out of 25 bats . So, Probability of hitting on a single bat is (11/25) =…

Q: Let X1, . . . , Xn be iid with pdf f(x) = 1 x √ 2πθ2 e − (log(x)−θ1) 2 2θ2 , −∞ < x < ∞, and unknown…

A: Considering that  X1,X2,.........,Xn are iid with the following density as given.

Q: a bag contains 6 red 5 blue and 4 yellow marbles. Two marbles are drawn, but the first marble drawn…

A: The bag contains 6 red, 5 blue and 4 yellow marbles.

Q: t the company doesn't know which ones are faulty until a buyer complains. Suppose ohickey costs $33…

A:

Q: A subway train arrives every six minutes during rush hour. We are interested in the length of time a…

A: Given :  Uniform distribution: (A Subway train arrives every 6 minutes during rush hours )    Take…

Q: Use Stirling's formula to approximate (2000) (1/3) 2000(2/3) 4000

A: Given the discrete probability as 60002000132000234000

Q: The article “Extravisual Damage Detection? Defining the Standard Normal Tree” (Photogrammetric Engr.…

A: It is given that sample mean is 1.028 and the standard deviation is 0.163.

Q: Jane must choose a crust and a topping for her pizza. There are four crusts to choose from:…

A: a) The tree diagram of all possible outcomes based on three pizza toppings and four crusts are…

Q: a. b. C. If two fair dice are rolled then What is the probability that at least one is a six? If the…

A: If two fair dice are rolled then   a.   What is the probability that at least one is a six?   b.…

Q: he years of education for self-employed individuals is normally distributed with a mean of 7.5 years…

A: Solution-: Given:μ=7.5,σ=3.3,n=38 We want to find, P(the mean years of education of this sample is…

Q: (a) A lamp has two bulbs, each of a type with average lifetime 1,200 hours. Assuming that we can…

A: In this step, we solve for the first part of the problem.

Q: Let X₁,..., Xn be a random sample from EXP (0) (i) Determine it a limiting distribution exists. for…

A: i) We know that if X1,…,Xn are i.i.d. random variables with CDF FX(x), then the CDF of the k-th…

Q: 2. The diameter of an electric cable X is assumed to be a continuous random variable kx (1-x), 0≤x≤1…

A: (a) Since you have posted a question with multiple sub-parts, we will solve first three sub- parts…

Q: How many ways are there to select 3 cards from the following deck of 50 cards such the all of them…

A: Total number of cards=50 5 rows with different letters {A,B,C,D,E} 10 columns of different numbers…

Q: P(C)= (Type an integer or a decimal.)

A: Events A ,B , and C are mutually exclusive events . And Table represent the all probability

Q: Solve the differential equation using Laplace transforms. The solution is y(t) and y(t) y" - 2y - 3y…

A: To solve the differential equation using Laplace transforms, we first take the Laplace transform of…

Q: Calculate the margin of error and construct a confidence interval for the population proportion…

A: Answer: a) From the given data, X = 9 Sample size(n) = 32 significance level(α) =0.05

Q: What is the probability of selecting a boy who is 5, 6, or 7 years old? (Table attached)   A)…

A: The total number of people (boys and girls) is n = 5290.

Q: In a local fund-raising lottery game, you select seven distinct numbers from 1-15, hoping that your…

A: Seven distinct numbers from 1-15 have to select and the order of the numbers you pick do not need to…

Q: Let Ax = {a,b,...,z,}, |Ax| = 27, denote alpahabet of letters in English text where - represents the…

A: i ai pi 1 a 0.0575 2 b 0.0128 3 c 0.0263 4 d 0.0285 5 e 0.0913 6 f 0.0173 7 g 0.0133…

Q: How many three-digit numbers can be made from the digits 0,1,2, 3 and 4, used at most once each, if…

A: In today's digital age, cybersecurity has become an essential concern for individuals,…

Q: If A and B are events, with P(A) = (Simplify your answer.) 15 and P(B) = 2 3 1 and P(A and B) = then…

A: Solution-: Given: P(A) =15, P(B)=23 and P(A and B) =13 We wan to find P(A or B)=?

Q: A circular spinner is divided into 14 sectors of equal area. There are 5 red sectors, 3 blue, 4…

A: 5-red3-blue4- yellow2-green14- total sectors

Q: Question 9 Use the standard normal table provided in D2L Content > Module 11 to find the z- value…

A: Let Z be the standard normal variable with mean 0 and standard deviation 1.  Z~N(0,1)