Exercise 48 If we throw a fair coin 10,000 times, what is the probability that it lands on "tail" at least 5,500 times?

Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: The sport section at a newspaper company receives on average 4 calls per hour requesting the latest…

A:

Q: According to FBI data 12% are cleared. What is the probability that the detective clears five…

A: Binomial distribution : A Binomial is a type of distribution which has two possible outcomes. i.e.,…

Q: In a coin toss experiment a coin was tossed seven times. What is the probability that the head…

A: The following is the formulae for Binomial distribution…

Q: A fair coin is tossed until a head appears. What is the probability that more than three tosses are…

A: When a fair coin is tossed, The probability of getting head is 0.5 The probability of getting tails…

Q: Seventy-six percent of toddlers get their recommended immunizations. Suppose that 6 toddlers are…

A: Given,p=0.76n=6

Q: Suppose the number of motor-vehicle fatalities in a city during a week had an average of 8…

A: Number of events that can occur in an interval is the poisson random variable. The poisson…

Q: 16. To get to work, a commuter must cross train tracks. The time the train arrives varies slightly…

A: Let X be a random variable denoting the no of times the commuter gets stopped during 5-day work…

Q: The National Aeronautics and Space Administration (NASA) has experienced two disasters. Challenger…

A: The National Aeronautics and Space Administration (NASA) has experienced two disasters. Challenger…

Q: Do Generation X and Boomers differ in how they use credit cards? A sample of 1,000 Generation X and…

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

Q: The Dow Jones Industrial Average has reached 27,164 points this week.  An investment advisor…

A: The probability that a stock she recommends is profitable is 0.40, which is fixed. Thus, we have a…

Q: What's the probability that she eats ramen tomorrow?

A:

Q: A survey of publishing jobs indicates that 92 percent are completed on time. Assume that three jobs…

A: Let X be the number of jobs completed. Then, the pdf of x isPX=x=Cxnpx1-pn-x…

Q: c) Suppose that, on average, telephone calls arrive at large switchboard at the rate of two per…

A:

Q: Breast cancer According to the American Cancer Society, 199 out of 200 mammograms turn out to be…

A: Let E be the event that mammograms turn out to be normal. Given, n(E)=199 n(S)=200 P(E)=?

Q: Color blindness has a rate of about 5% among males. If you pick a group of 15 males, what is the…

A:

Q: What is the probability that thanksgiving falls on a thursday?

A: Thanksgiving day:It is known that Thanksgiving is always celebrated on fourth Thursday of November…

Q: a. What is the probability that Harriet misses for the first time on her 10th shot? b. What is the…

A: here given ,  Harriet , a basket ball player can score from the 3-point line with probability 87%  p…

Q: 6. In a Gallup Survey, 90% of the people interviewed were unaware that maintaining a healthy weight…

A: We have given that,  X be the random variable from binomial distribution with probability of success…

Q: On average, a textbook author makes two words processing errors per page on the first draft of her…

A: Let X be the number of errors made in one page. Then X has a poisson distribution with λ=2 per…

Q: 2. A survey of publishing jobs indicates that 92 percent are completed on time. Assume that three…

A: Probability that publishing job is not delayed= 0.92 Let X be the number of jobs completed on time.…

Q: 10. What is the probability that Frankie can get the Bonus Shield that he needs?

A: Here We will use Tree diagram as shown into second step

Q: On the average, two tornadoes hit major U.S. metropolitan areas every year. What is the probability…

A: Poisson random variable is the number of events that occur in a time interval. So poisson…

Q: What is the probability of hitting a target, if in the long run, 71 out of every 464 attempts…

A: Probability:The probability of an event A is obtained  by the formula:

Q: Suppose Solar power plants failures occur with an average of 5 failures every year, calculate the…

A: Given data: 5 = failures every year To find: The probability that there will not be more than one…

Q: A fair coin is flipped 3 times. What is the probability that at least two heads are flipped?

A: Introduction: Since the coin is fair, the probability of getting a head is the same as that of…

Q: Do Generation X and Boomers differ in how they use credit cards? A sample of 1,000 Generation X and…

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

Q: A government task force suspects that some manufacturing companies are in violation of federal…

A: Given that - A government task force suspects that some manufacturing companies are in violation of…

Q: rolled three

A:

Q: Using a single die, what is the probability that four will land at least once after two rolls?

A:

Q: A fair coin is tossed six times. What is the probability of obtaining at least five ​tails?

A: From the given information, the number of times tossing a coin is 6. The probability of getting a…

Q: An office worker receives an average of 22.5 email messages per day. If his working day lasts seven…

A: Average rate for 7.5 hours = 22.5 emails Average rate per hours = 22.5/7.5 = 3 = λ   For a poissons…

Q: About 8% of the US population catches the flu each season assuming everyone has equal probability of…

A:

Q: What is the probability that A or B3 occurs? Given that B2 has occurred, what is the probability…

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Q: assuming that the characteristics listed above are independent of each other, what is the…

A: The probabilities are listed that were presented by the prosecution for the known characteristics of…

Q: (a) What is the probability of more than one death in a corps in a year? (b) What is the probability…

A: Given: Death of soldiers in a corps follow Poisson distribution with λ=0.61

Q: A fair coin is flipped 6 times. What is the probability that at least two heads are flipped?

A: Given:  A fair coin is flipped 6 times.

Q: What is the probability that it rains tomorrow?

A: Here define events and draw tree diagram

Q: (a) What is the probability that the test will signal? (b) If the test signals, what is the…

A: Let : X1 be the event that samples are contaminated with organic pollutants X2 be the event that…

Q: Roll a six-sided die four times. If it is known that 1 appeared at least once, what is the…

A: From the provided information, Number of times die rolls = 4 Probability of getting a 1 for any…

Q: (a) What is the probability that the website gets exactly 150 clicks in a given hour? (b) What is…

A: here given number of click a website gets can be modelled by poisson process with rate parameter  λ…

Q: Sixty percent of clowns aren’t funny.   If you randomly encounter three different clowns, what is…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Q: a. What is the probability that the software will fail after 1150 hours? b. What is the probability…

A:

Q: - What is the probability that a product attains a good review? - If a new design attains good…

A: Let us define some events A : a product is highly successful. B : a product is moderately…

Q: In 1990, 22% of Americans completed four years of college; 53% of them were women (Time, Jan. 19,…

A:

Q: What is the probability at least one if left-handed?

A: Let p be the probability that a person is left-handed. Here, p=1-0.90=0.10 Let X represents the…

Q: (a) What is the probability that the vaccine selected is an outdated one? (b) If the vaccine…

A: Here define events and draw tree diagram  Here use Bayes theorem

Q: Suppose Emerson loses 44% of all air hockey games. (a) What is the probability that Emerson loses…

A: (a) The probability that Emerson loses two air hockey games in a row is 0.1936, which is obtained…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.