There are 20 cupcakes at a party; 8 are vanilla, 6 are chocolate, 2 are funfetti, and 4 are carrot cake. What is the probability of getting a vanilla cupcake or chocolate cupcake?

Q: The probabilities that discipline officers will discover violations of the student handbook in a…

A: We have to find the standard deviation of the probability distribution

Q: Consider a political discussion group consisting of 5 Democrats,10 republicans, and 3 independents.…

A: Consider a political discussion group consisting of 5 Democrats,10 republicans, and 3 independents.…

Q: Using the clues given below, fill in the rest of the joint distribution. There is only one answer: Y…

A:

Q: If z is a standard normal random variable, find the probability. The probability that z lies…

A: From the provided information, z is a standard normal random variable. The probability z lies…

Q: You are interested in determining which of two brands of light bulbs, brand A and brand B, lasts…

A: The objective of the study is to determine which brand among brand A and brand B lasts longer under…

Q: In a university class of 200 students, where 60% are females and 40% are males, what is the…

A: Answer:   We have a university class of 200 students, 60% female and 40% male. This means we have…

Q: Find the probability of event B NOT occurring.

A: You are given the following information about events A, B, and C.   The probability of event A…

Q: How do I find the probability here?  At a mini-golf course, 20 friends each take 5 shots to try and…

A: Here the given table is  So, The total frequency= 2+6+5+4+2+1=20 We know that, To find the…

Q: 4. Let X₁ N(0,3²), X₂ N(4,42), and X3~ N(-1,22) be independent random variables. Find P (X₁ + X₂…

A: X1~N(0, 32 ), X2~N(4, 42 ) , and X3~N(-1, 22 ) be independent random variables.

Q: lem 15. A variable of a population has a mean of μ = 150 and a standard deviation of o = 21.…

A: Population mean μ =150 Population standard deviation =21

Q: Ten percent of the engines manufactured on an assembly line are defective. Suppose engines are…

A:

Q: 15. Shasta gets the ball over the net in volleyball 70% if the time. In 16 serves, what is the…

A: Answer  p =0.70 n =16 P[x=8] =? We know that Binomial distribution: P [X=x] =nCx*[p]^x*[1-p] ^[n-x]

Q: Find the area below 63 for a normal distribution with mean 61 and standard deviation 10? Round to…

A: Answer: From the given data, Mean (μ) = 61 standard deviation (σ) = 10 X follows normal distribution…

Q: Assume that when human resource managers are randomly​ selected, 56​% say job applicants should…

A: Answer:- Given, 56% say job applicants should follow up within two weeks. That is, Probability of…

Q: For this study, we should use     The null and alternative hypotheses would be:       �0:…

A: as per guidelines i have calculated 3 subparts plz repost for remaining part ... The average number…

Q: a) The probability that they prefer brand A coffee is (Round to four decimal places as needed.)…

A:

Q: A planning board in Magnolia City is interested in estimating the proportion of its residents in…

A: A 90% confidence interval for the proportion of residents in favor of building the community…

Q: A group of 650 tourists includes 248 who have visited Germany, 115 who have visited Holland, and 319…

A: Note: Hi there! Thank you for posting the question. To avoid the plagiarism issues, we have used the…

Q: Potential customers arrive at a small machine maintenance facility according to a Poisson process…

A: In a steady-state system with two operators, the probability that both operators are idle can be…

Q: The time (in minutes) between arrivals of customers to a post office is to be modelled by the…

A: exponential distributionμ = 0.46 minute = 27.6 secondsλ = 127.6 per secondformula to use : P(x>X)…

Q: Suppose two events A and B are independent, with P(A) = 0 and P(B) = 0. By working through the…

A: P(A) ≠ 0 P(B) ≠ 0

Q: Martha drives to work every day and passes two dependently operated traffic lights. The probability…

A: Martha drives to work every day and passes two dependent-operated traffic lights. The event A is…

Q: After a genetics experiment on 60 pea plants, the number of plants having certain characteristics…

A: There are 60 pea plants. Consider A denotes the plant is tall, B denotes the plant has green peas,…

Q: Let X be a geometric distribution with parameter 0 k) = (1 − p)^k for every k belongs to the set of…

A: a) We can use the definition of the geometric distribution to prove this statement. Let X be a…

Q: Elizabeth brought a box of donuts to share. There are two dozen(24) donuts in the box, all identical…

A: There is total 24 donuts in the box.

Q: A die is tossed. Find the odds against rolling a number greater than 2.

A: A die is tossed

Q: Fill in the blanks using the named events. 40% of those who have a Mac now (M) will purchase a Mac…

A: 40% of those who have a Mac now (M) will purchase a Mac next time (X), whereas 20% of those who do…

Q: Assume that X₁, X2, ..., Xn are independent and identically distributed random variables with…

A: A key finding in probability theory known as the Central Limit Theorem asserts that, under specific…

Q: A test has 20 multiple choice questions with three options of answer. There is ONE(1) correct…

A: three options of answers for mcq.  P(correct answer) = 13 = p  10 questions are answered n = 10   x=…

Q: What is the probability they were correctly matched?

A: Thirteen of your graduation gift thank-you note/envelope pairs were randomly matched withoutchecking…

Q: 1. Suppose that 100 balls are placed into 30 boxes at random and independently. (a) What is the…

A: Expected probability: Expected probability is calculated as the probability of an event multiplied…

Q: Identify the sampling method used in the following. 1. The analyst needs a sample of size 50 from a…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: Four rats are selected at random from a cage of 5 male (M) and 4 female (F) rats. If the random…

A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: Use a normal approximation to find the probability of the indicated number of voters. In this cas…

A: sample size(n)=137 probability of eligible voters voted(p)=0.22 Let "x" be the no. of eligible…

Q: Find the theoretical probability of: When selecting 3 cards from a regular deck without…

A: Here given that 3 cards are drawn without replacement from standard deck of cards . Total 52 cards…

Q: A movie club surveyed  250  high school students. The students were asked how often they go to the…

A: Twice a monthor less Three times a monthor more Total Action 85 20 105 Drama 90 55 145…

Q: 28) Consider two variables Y₁, Y₂ whose joint probability density func- tion is given by f(y₁, y2) =…

A: Consider two random variables Y1, Y2 whose joint probability density function is given by,…

Q: A production plant has three machines and the two products move about among these three machines.…

A:

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Here, we have given problem that we have two fair dice and then we have to find the probability that…

Q: (c) Norman's girlfriend Norma is less ambitious and would be happy to hold any position on the…

A: A committee consists of a chair, 2 hagglers and 3 do-nothings. A committee is formed by randomly…

Q: A pet store owner wants to know if a new commercial will bring in more people than the old one. Out…

A: Total number of viewers=500 250 watch new commercial 250 watch old commercial

Q: Consider the joint probability distribution below.   i.What is P(A= false)? ______________ Show your…

A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: Find the value of the constant c. Find P(YX). Find P(Y = X).

A: The probability mass function (PMF) of random variables X and Y is pX,Y(x,y)=c(x+y)2if x∈1,2,4 and…

Q: (a) Find px₁,...,xk (X1, X2, · · ·‚ Xk). (b) Find px;(x;) for any 1 ≤ i ≤ k.

A: Thus, we found out the joint distribution of X1,X2,X3,.....,XK

Q: A simple example of a random variable is the indicator of an event A, which is denoted by IA: IA(W)…

A: Indicator function is defined as   IA(ω) =1 if ω ∈ A, 0 otherwise

Q: A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and…

A: A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times…

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: A B C D Total Accurate 334 274 232 135 975 Not accurate 36 57 34 16 143 Total 370 331 266…

Q: The probability of a tornado in your home county in any one year is 0.073. What is the probability…

A: Answer:- Given, The probability of a tornado in your home county in any one year is 0.073. That is,…

Q: For this study, we should use     The null and alternative hypotheses would be:       �0:…

A: as per guidelines i have calculated 3 subparts , plz repost for remaining with note i need this this…

Q: If P(A')= 0.4 and P( A and B)= 0.30, then find P(B|A)?

A: Answer: From the given data, P(A') = 0.4 Since, P(A) + P(A') = 1 P(A) = 1 - P(A') = 1 - 0.4 = 0.6…