A quiz consists of 10 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.

Q: A card is drawn from a well shuffled pack of 52 cards. Find the probability of getting a diamond…

A: Total no.of cards=52no.of diamond cards=13

Q: n a recent poll, 580 people were asked if they liked dogs, and 85% said they did. Find the margin of…

A: Answer point estimate p = 85%                             =85/100                              =0.85…

Q: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: A and B are two events such that P(A) = 0.36, P(B) = 0.41, P(A or B) = 0.53 then What is P(A and…

A: Answer: From the given data, P(A) = 0.36 P(B) = 0.41 P(A or B) = 0.53

Q: The Apollo module has five components: the main engine, the propulsion system, the command service…

A: Answer: From the given data, The Apollo module has five components, The main engine, the propulsion…

Q: For each of these scenarios you need to clearly define WHY it is the distribution you decided,…

A: (a) (i) The failure times  of the components are exponentially distributed with a mean of 100 hours.…

Q: For 50 students of a class the regression equation of marks in Statistics (X) on marks in…

A: Sample size =50 Equation 3X-5Y+180=0 X: Statistics Y: Mathematics Mean of Y=44 Variance of X =9/16…

Q: The probability that the oldest is a boy and the youngest is a girl, given that there is at least…

A: Here  Family has 3 children with at least one boy and one girl.

Q: Assume the annual day care cost per child is normally distributed with a mean of $5000 and a…

A: Mean=$5000 Standard deviation =$900

Q: Given that P(A) = 0.10, P(B) = 0.17, and P(A and B) = 0.0230, are events A and B independent?

A: P(A)=0.10P(B)=0.17P(A and B)=0.0230

Q: If n = 526 and (p - hat )= 0.30, find the margin of error at a 98% confidence level

A: n=526 Confidence level =98% (p - hat )= 0.30

Q: Fill up the table and solve the following probabilities. x + 1 7 1. P(X < 1) = 2. P(1 ≤X < 5) = 3 3.…

A: Answer:- Given,  P(X = x) = (x+1)/7 ; where x = 0 , 1 , 3

Q: 65. Consider the jointly continuous random variables from homework questions 59-62 with joint pdf:…

A:

Q: Write a small report (Maximum 1 page) explaining in your OWN TERMS what Bayesian statis- tics is.…

A: Bayesian statistics is a method of statistical inference that deals with uncertainty by…

Q: There are two printers in the computer lab. Printer i operates for an exponential time with rate λi…

A: (a) Yes, we can analyze this as a birth and death process. In a birth and death process, we have a…

Q: μx t 0x = μ = 0 σ=1 18 N a. What is the mean of your sample mean X ? Answer: b. What is the standard…

A: The random variable X is the number of hours the student used their smartphones to watch the youtube…

Q: Find the probability of the compound event of choosing a pair of white socks. (Enter your…

A: Total number of socks in the drawer, from the total = 32 Here, White socks = 4 pairs = 8 black socks…

Q: 3. Draw the cumulative distribution functions of the following distributions: (a) A continuous…

A: (a) A continuous random variable chosen uniformly from the interval [1,6]. (b) A continuous random…

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength 66 74…

A: We have given the following table   Flying  Telepathy  Super strength  Total  Female  14 66 70…

Q: Hypergeometric Distribution Bloomberg L.P. lists the top 20 U.S. companies by revenue. Walmart…

A: Of the 20 companies, 8 are in some type of electronics related business. 6 firms are randomly…

Q: Which of the following events occur with a probability of zero? C. A Product that is neither foreign…

A: Here the given statement is    A Product that is neither foreign nor domestic. We have to identify…

Q: A single number cube is rolled twice. PART A Determine the number of possible outcomes. Explain how…

A: Single number cube is rolled twice. In Cube 1 to 6 number plot in each side. In First roll suppose…

Q: What R code will give the value of x where P(X<x) = 0.45 Without using R or any technology, for what…

A: P(X&lt;x)=0.45

Q: Suppose that there is a bag containing 6 marbles. How many ways can you draw 4 marbles from the bag…

A: The bag contains =6 marbles number of marbles drawn=4

Q: Age Social media user Non-social media user Total Younger (18−22)(18−22)left parenthesis, 18, minus,…

A: The given data is as follows, Age Social media user Non-social media user Total Younger(18-22)…

Q: the probability of the pointer landing in a brown region.

A: There are total 10 region in given spinner.  3 are brown , 3 are red , 2 blue and 2 yellow regions.…

Q: X:   10 20 30 40 P(X): 0.25 0.25 0.4 0.1 Find the mean of the above probability distribution?

A: X 10 20 30 40 P(X) 0.25 0.25 0.4 0.1

Q: uppose you play a game of chance where you roll a pair of dice. You pay a nonrefundable $2 to play…

A: If the number of pips on both dice is even, you win $6.  Otherwise you win nothing

Q: Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean…

A: Here, n= 41, μ=125, and σ2=49.

Q: A simple random sample of size n = 15 is drawn from a population that is normally distributed. The…

A:

Q: You are to roll a die 100 times. The rolls are independent of each other. A die has sides…

A: Suppose a random variable X, defines that the number of occurrences of 3 by rolling a die.

Q: The probability that a regularly scheduled flight departs on time is 0.85; the probability that it…

A:

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

A: The standard normal variable is z and it follows normal distribution with mean 0 and standard…

Q: 66. Consider two random variables X and Y with V(X) = 5, V(Y) = 10 and Cov(X,Y) = 3. (a) Find V(3X -…

A: V(X)=5 , V(Y)=10 and Cov(X,Y)=3

Q: 2. Construct a 95% confidence interval to estimate the proportion of Wingate female students that…

A: total number of female students =181 number of students who are left handed=15

Q: 2. Let X be a continuous random variable with cumulative distribution function P(x) = { ₁-0 + -6x e…

A: The CDF of random variable X is given as: F(x)=1-e-6x    ; x&gt;00                 otherwsie…

Q: 2. Consider a bank with a single teller serving customers. The inter-arrival time between 6…

A: As per our guidelines I can solve only first question. Kindly post the remaining question again and…

Q: In a certain year, 13,625 professional train pushers are diagnosed with carpal tunnel.  The top…

A: Answer:- According to given information, Total number of professional train pushers are diagnosed…

Q: 5. An ambulance service claims that it takes on the average 8.9 minutes to reach its destination in…

A: Sample size=50

Q: How many ways are there to draw three winners out of 200 people

A: There are total 200 people involved.  Here order for  selection is matter so we will use…

Q: Let X be a continuous random variables with with the following probability density function. Answer…

A: As we have to allow to do only 1st question if there is multiple question .To find the value of α…

Q: Binomial Distribution he Wall Street Journal reported some interesting statistics on the job market.…

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

Q: C. What is the complement of "Is a B2C marketer"? O Plans to increase use of social media O Doesn't…

A: The given table shows the 'Business Focus' and 'Increase Use of Social Media?'.

Q: Using standard normal table or Excel function find the given probability, Calculate P(Z>0.37

A: Answer: From the given data, X~Normal distribution,

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: The probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.24.…

Q: In a study of 799 randomly selected medical malpractice lawsuits, it was found that 505 of them were…

A: Answer: From the given data, Sample size (n) = 799 Sample proportion (p^) = xn= 505799= 0.632…

Q: Considering the data, 16,18,12,72,23,73,16,66,81 Calculate the median?

A: Answer: Given data, 16,18,12,72,23,73,16,66,81 Sample size (n) = 9

Q: If 4 cards are drawn from a deck of 52 and not replaced, find the probability of getting at least 1…

A: Total no. of cards in a standard deck = 52There are four suits in the deck heart, diamond, spade,…

Q: Find the indicated probability using the standard normal distribution. P(Z < 1.17) Click here to…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: For X~ N(-20, 1.3), find using r code: 1. P(X -17.8)

A: