A multiple-choice examination consists of  85  questions, each having possible choices a, b, c, and d. Approximate the probability that a student will get fewer than  18  answers correct if he randomly guesses at each answer. (Note that, if he randomly guesses at each answer, then the probability that he gets any one answer correct is  0.25 .) Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.)

Q: Give the distribution of X. X- O Part (d) How many audits are expected in a 20-year period? (Round…

A: From the given information, consider X be a random variable. c. X~Binomial20,0.02 d. The required…

Q: A local county has an unemployment rate of 7.2%. A random sample of 18 employable people are picked…

A: It is given that n = 18 and p = 0.072.Hey there! Thank you for posting the question. Since your…

Q: A charity holds a raffle in which each ticket is sold for $45. A total of 9600 tickets are sold.…

A: We have the following information: Each ticket sold for $45. Total no. of ticket sold = 9600. The…

Q: Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to…

A: Concept of General Addition Rule:For any two events A and B the General Addition Rule state that:

Q: An executive believes that a new energy drink his company developed will increase an individual's…

A: Paired t-test statistic results:For testing whether the new energy drink increase an individual’s…

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: Here the given table is :- YesNoTotalPositive 13326159Negative 7134141Total140160300Using formula,

Q: The average time between phone calls arriving at a call center is 30 seconds. Assuming that the time…

A: Solution: Let X be the time between calls. From the given information, X follows exponential…

Q: Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them…

A:

Q: Question 29 Landon buys a bag of cookies that contains 6 chocolate chip cookies, 4 peanut butter…

A: Solution

Q: Laura and Phillip each fire one shot at a target. Laura has probability 0.3 of hitting the target,…

A: Two events are independent if the happening of one event does not depend on the happening of the…

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: For the given data Find P ( negative / no ) =?

Q: The unemployment rate in a city is 12%. If 6 people from the city are sampled at random, find the…

A: p(unemployed) = p = 0.12n = 6p(x≤2) = ?

Q: The time between arrivals of vehicles at a particular intersection follows an exponential pr 5 a.…

A: The probability mass function and Cumulative distribution function for Exponential distribution is…

Q: The time between requests to a web server is exponentially distributed with mean 0.4 seconds. a.…

A:

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: The data is given for the results of a test for certain…

Q: A human gene carries a certain disease from the mother to the child with a probability rate of 54%.…

A: It is given that n = 5 and p = 0.54.

Q: A number of randomly selected heterosexual married couples were surveyed about their candidate…

A: Given the result of the survey conducted on randomly selected heterosexual married couples about…

Q: Suppose that 18% of a random sample of 2307 Miami residents said that they will donate blood in…

A: p =0.18 n = 2307

Q: A medical research team is investigating the benefits of a new surgical treatment.  One of the…

A: (1) The following hypothesis can be formed H0: μ=96HA: μ<96

Q: Each person in random samples of 227 male and 263 female working adults living in a certain town in…

A: The objective is to test whether there is a difference in mean commute times for male and female…

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A: The standard normal variable is z, which follows the normal distribution with the mean of 0 and…

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: The given summarized table is, The probability of he or she had the disease is,

Q: Question 6 Assume that the probability that a randomly selected student is in middle school is…

A: event A : middle school  event B : public school P(A) = 0.791 P(B) = 0.0618 P(A∩B) = 0.0185 P(A∪B) =…

Q: In a random sample of 1500 BA majors who are graduating from the University of Cape Town this autumn…

A: Given that: Sample size, n=1500 Number of BA major's graduates have already found the job is 1380.

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: The individual actually had the disease   Yes No Positive 122 33 Negative 8 137

Q: A certain affects virus 0.4% of the population (in a population of 100,000 people, 400 will be…

A: Given information: A certain virus affects 0.4% of the population which implies that 400 persons out…

Q: A local county has an unemployment rate of 4.7%. A random sample of 20 employable people are picked…

A: It is given that-Probability that the person is unemployed is :Number of sampled population:

Q: Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is…

A: Given the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree…

Q: Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch…

A:

Q: The data in the accompanying table are from a paper. Suppose that each person in a random sample of…

A:

Q: A certain affects virus 0.4% of the population (in a population of 100,000 people, 400 will be…

A: Solution: It is given that, the test is positive 87% of the time if the person has the virus. It is…

Q: 8) On June 11, 2004, tennis player Andy Roddick delivered the fastest tennis serve ever recorded by…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: A raffle has a grand prize of $15000 with the second prize of $900. If each ticket costs $2 and 9200…

A:

Q: Many professional baseball teams (including the Cincinnati Reds and the Boston Red Sox) use Bill…

A: It is given that the runs scored is 500 and runs allowed 400.

Q: A charity holds a raffle in which each ticket is sold for $30. A total of 12,000 tickets are sold.…

A: Introduction: Denote the random variable X as the net amount won on purchasing one ticket, and p (x)…

Q: Find the z score for test scores of 70 _____ and 90 ______.

A: The z-score of a sample data is Here, mean is 70.3 and standard deviation is 13.5.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.