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Q: If an event is certain not to happen, what is the probability of it happening? Give a numerical…

A: Answer:- If A be an event and is certain not to happen. Then we know that the probability of the…

Q: A global study surveyed information security professionals regarding trends and issues affecting…

A: Given Information: 24% of women indicated that their opinions are not valued. 48% of women that feel…

Q: A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The…

A: The given probability density function of X is, fx=1.251-x4,     0<x<10,…

Q: Six boys or five girls are to line up in a bus stop what is the probability that A) the boys and…

A: It is given that there are six boys and five girls.

Q: A small retail store has customers whose ages are normally distributed, with a mean of 37.5 and a…

A: Answer:- Given, A small retail store has customers whose ages are normally distributed, with a mean…

Q: If we repeat the experiment 100 times and each time we collect a random sample of size n from the…

A: Assuming that the sampling distribution of the mean is normal and the sample size is sufficiently…

Q: Suppose a player's true batting average is Normal, with mu = .281, and standard deviation, sigma =…

A: given data normal distributionμ = 0.281σ = 0.02P(x>0.300) = ?

Q: of Smiley’s People, Inc., which sells customized T-shirts, follows a normal distribution, with a…

A: Given that. 1 million =1000000   X~N( μ , ?)   μ=4560000 , ?=780000   Z-score =( x - μ )/?

Q: Suppose someone spins the spinner shown in the figure once. Find the given probability. P(2) 2 3 1 4…

A: Given information- We have given a spinner. Suppose someone spins. So we have to find the…

Q: Suppose a shopkeeper is making bags of 2 pounds of flou bulk. The shopkeeper keeps adding flour to a…

A: Given that.   X~N( μ , ?)   μ=2 , ?=0.08   Z-score =( x - μ )/?

Q: 4. Suppose you want to flip a fair coin, but all you have is a biased coin that comes up heads with…

A: Let's consider the possible outcomes of flipping the biased coin twice: HH (heads then heads): we…

Q: Suppose that 2000 students enter (and later leave) a classroom building over the 10 hours in which…

A: The solution to the given problem is as given in the step 2.

Q: 3.136 3.137 nomoM e.c Increased research and discussion have focused on the number of illnesses…

A: Given: It is given that the approximate rate of E.coli per 100000 for a two years period is 2.4 for…

Q: Two standard dice are rolled. What is the probability of rolling a total of 9? 9 05 36 5 18

A: given data, stnadard dice are rolled there are two dice are rolled total outcomes:=62=36 outcomeswe…

Q: The distribution laws of random variables X, Y and Z are given: 0 2 2 3 0.6 0.4 0.6 0.2 X; P₁ Yi LP₁…

A: Expected value :  Sum(x*p(x))  1 :  E(x) = (0*0.6 + 2*0.4) = 0.8  2 :  E(y) = (1*0.2 + 2*0.6 +…

Q: You are asked to advise a researcher the estimator they should use to find the value of 0 from a set…

A: We have a uniform distribution U0, θ. We are interested in estimating θ and two estimators are taken…

Q: probability of appearing with the following steps of a, b, and c for step d? a) P(rolling…

A: Formula used: Sample space for a dice = 6 sample space of two dices = 6 × 6 = 36 Probability of a…

Q: 1. The table below gives the joint probability mass function for X and Y. X=1 X=2| X=3 b 0.04 0.12…

A: Result X and y are independent then P(x,y)=P(x)×P(y)

Q: A random variable X has a p.d.f. f(x) given by S(x) = {^e²) x>0 otherwise ke-3x a. Find the constant…

A: Given,f(x)={ke-3x; x>00; otherwise

Q: You may need to use the appropriate table (Standard Normal Table) to an Given that Z is a standard…

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

Q: The probability that  some event A  happens at least once in 4 independent experiments is 0.9744.…

A: Answer:- Given, The probability that  some event A  happens at least once in 4 independent…

Q: A local non-profit organization is again hosting their annual casino night fundraiser to raise money…

A: $20 fees :  For $5 ( loss 15 dollar ) [area 50%] For $20 ( no loss , no profit ) [area 25%] For $50…

Q: (b) What is the probability that Donald Trump wins the town? (Hint: Donald Trump will win if 55-X…

A:

Q: Var(X + Y) + Var(X − Y) = 2Var(X) + 2Var(Y).

A: From the provided information, The expression is as follow: Var (X + Y) + Var (X - Y)

Q: For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.5, and P(R3) = 0.45.…

A: R1, R2and R3 be three mutually exclusive events.  P(R1)= 0.05P(R2)= 0.5P(R3)= 0.45P(Q|R1)=…

Q: 4 8 01:58:18 In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and…

A: Here the given table is

Q: In certain areas, 55% of the population are women. 15% of the women jog and 20% of the men jog. a.…

A: Given that, The event M is the person is men The event W is the person is women The event J is the…

Q: Listed below are the results of 16 independent trials that attempted to measure quantity Q.…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The probability that a component passes quality assurance is 0.93.  For the following questions,…

A: GivenThe proabability that a component passes quality assurance(p)=0.93

Q: Part 2: Tree diagrams & Venn diagrams Suppose that a local coffee shop offers two types of coffee…

A: Given that a local coffee shop offers two types of coffee blends: Light Roast and Dark Roast. Each…

Q: An individual golfer's scores have a mean of 90.4 and a standard deviation of 5.3. What is the…

A: Given,mean(μ)=90.4standard deviation(σ)=5.3

Q: (b) Given the results from the local school, do you think the Education Department's claims are…

A: Education department claim :  Boys and girls progress equally well in learning to read.  Local…

Q: A and B are playing a badminton match with the agreement that winner of each set will get 1 point…

A: a) P(Y|X_5) = P(A wins match given that at least 5 sets are played) To compute this, we need to…

Q: ) 8.517 (B) 7.947 (C) -6.170 (D) 1.823   To classify this individual, we note that since C0(4,5) >…

A: Answer:- Given, Notation  For groups k = 0, 1, let CFk (d, p) denote the value of the classification…

Q: The distribution laws of random variables X and Y are given: X -1 2 Y 0 1 P 0.6 0.3 P 0.4 0.4 Find…

A: Expected value = sum(x*p(x))  Calculate expected value for x and y E(x) = (-1*0.6 + 1*0.1 + 2*0.3) =…

Q: The distribution law of random variable X is given: Find the variance of random variable X. X₁ LP₁…

A: Given data is  xi -0.5 -0.2 0 0.8 pi 0.4 0.2 0.1 0.3

Q: Find a constant C such that p is a probability density function on the given interval and compute…

A: and a) is 2/pi

Q: Assume that N belongs to the (a,b,0)-class. Let Nm be the ZM random variable of N with po and p =…

A: Given that N belongs to the a, b, 0-class. Nm be the ZM random variable of N with p0m and pkm=cpk,…

Q: Z is a standard normal random variable. Use Excel to find Pr(Z < -1.31). Enter your answer as a…

A: given data standard normal distributionZ~N(0,1)P(z&lt;-1.31)=?

Q: The Pew Research Center reports that they are only able to contact 76% of randomly selected…

A: Given data, p=0.76q=1-p=1-0.76=0.24n=12x= the number of people successfully contacted. p(X=x)=n…

Q: The probabilities that a particular office phone rings 0, 1, 2, 3 times in half hour are…

A: Given, X 0 1 2 3 P(X) 0.05 0.15 0.21 0.42

Q: If you have ever tried to take a family photo, you know that it is very difficult to get a picture…

A: Answer:- Given, The probability of an individual blinking during a photo is about 0.04.  That is ,…

Q: iven a sample with a mean of 57 and a standard deviation of 8, calculate the following probabilities…

A: given data  normal distributionmean (μ) = 57standard deviation (σ) = 8 P(x&lt;57) = ?

Q: -{1+ (+³² x 0≤x≤2 otherwise f(x) = Derive F(x). Calculate P(1 ≤ X ≤ 1.5) and P(X > 1).

A: Solution

Q: Let X be a discrete random variable with the following distribution: -2 0 2 4 1 1 1 1 2 8 X P(X = x)…

A: Given,

Q: The probability that you will receive a wrong number call this week is 0.2. The probability that you…

A: The probability that you will receive a wrong number call this week is 0.2. The probability that you…

Q: The major airline industry is subject to labor strikes by the pilots, mechanics, and flight…

A: Event A defines strike by the pilots, event B defines the strike by the mechanics and event C…

Q: There is some evidence suggesting that you are likely to improve your test score if you rethink and…

A: Solution: From the given information,

Q: Suppose that a total of 95 observations were made, and in preliminary study, 20% showed that machine…

A: Given, Suppose that a total of 95 observations were made, and in preliminary study, 20% showed that…

Q: The number of combinations of eight items taken three at a time can be written as C(8-3) C(3, 8)…

A: given data, the number of combination of  eight items taken three at a time can be written =?we have…