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Recent questions in Binomial probability Ikunupe6v 2021-12-18 Answered

a) Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. i. Define the variable of interest for this scenario. ii. What probability distribution do you think best describes the situation? Why? iii. Calculate the probability that exactly 9 will buy the product. zakinutuzi 2021-12-18 Answered

If a baseball player has a batting average of 0.275, what is the probability that the player will get the following number of hits in the next four times at bat? (A) Exactly 2 hits (B) At least 2 hits (A) P(exactly 2 hits) $$\displaystyle\approx{.029}$$ (Round to three decimal places as needed.) Stacie Worsley 2021-12-17 Answered

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Tell, what is the factorial of 10? Susan Nall 2021-12-17 Answered

Beth is taking an eleven​-question ​multiple-choice test for which each question has three answer​ choices, only one of which is correct. Beth decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or​ 2, the second if the die shows 3 or​ 4, and the third if the die shows 5 or 6. Find the probability of the stated event. exactly four correct answers Brock Brown 2021-12-17 Answered

An oil drilling company ventures into various locations, and its success or failure is independent from one location to another. Suppose the probability of a success at any specific location is 0.30. What is the probability that a driller drills 10 locations and finds 1 success? The driller feels that he will go bankrupt if he drills 10 times before the first success occurs. What are the driller's prospects for bankruptcy? i. ii. diferira7c 2021-12-17 Answered

The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected. If they find 2 or more, the entire batch is inspected. Based on this sampling plan, the probability that a batch that meets the contract requirements will end up being 100 percent inspected is approximately... A) .086 B) .41 C) .68 D) There is insufficient information to answer vegetars8t 2021-12-17 Answered

In a 10-question true/false test, what is the probability of guessing correctly on questions 1 through 4 exactly 2 times? veksetz 2021-12-17 Answered

The probability that a student passes the Probability and Statistics exam is 0.7. (i)Find the probability that a given student will pass the Probability and Statistics exam after the third try. (ii)Find the probability that the third student who fails the Probability and Statistics exam is found after the fifth student in a class of 9 students? (iii)Find the probability that at most 3 students will pass the Probability and Statistics exam in a class of 7 students. Alfred Martin 2021-12-16 Answered

One prominent physician claims that 70% of those with lung cancer are heavy smokers. If his assertion is correct, find the probability that out of 10 such patients recently admitted to a hospital (a) more than half are heavy smokers (b) exactly 4 are heavy smokers (c) less than 2 are non-smokers Talamancoeb 2021-12-16 Answered

A family has 5 children. Assume that each child is as likely to be a boy as it is to be a girl. Find the probability that the family has 5 girls if it is known the family has at least one girl. Mary Jackson 2021-12-16 Answered

Suppose we have two weighted coins, one of which comes up heads with probability 0.3, and the other of which comes up heads with probability 0.8. Unfortunately, the coins are otherwise identical, and we have lost track of which is which. Suppose we flip a randomly chosen coin 14 times and let N be the random variable giving the number of heads seen. If in the first 3 flips we see 2 heads, what is the conditional expected number of heads in the 14 flips? $$\displaystyle{E}{\left[{N}{\mid}{2}\text{of first 3 are H}\right]}=?$$ Irvin Dukes 2021-12-16 Answered

Consider a binomial experiment with $$\displaystyle{n}={20}\ {\quad\text{and}\quad}\ {p}={.70}$$. 1. Compute f (12). 2. Compute f (16). 3. Compute $$\displaystyle{P}{\left({x}\geq{16}\right)}$$. bmgf3m 2021-12-16 Answered

An insurance company found that 25% of all insurance policies are terminated before their maturity date. Assume that 10 polices are randomly selected from the company’s policy database. Assume a Binomial experiment. Required: What is the probability that at most eight policies are not terminated before maturity? Pam Stokes 2021-12-14 Answered

It is believed that 58% of Americans like to eat at restaurants every week. You interview 6 Americans and ask if they like to eat at restaurants every week. The random variable x represents the number of Americans that like to eat at restaurants every week. Find the mean of the binomial distribution. $$\displaystyle\mu=?$$ Find the standard deviation of the binomial distribution. $$\displaystyle\sigma=?$$ What is the probability that at least 1 of the Americans surveyed likes to eat at restaurants every week? Provide an answer to 4 decimal places. John Stewart 2021-12-14 Answered

A car has five traffic lights on its route. Independently of other traffic lights, each traffic light turns red as the car approaches the light (and thus forces the car to stop at the light) with a probability of 0.4. a Let K he a random variable that denotes the number of lights at which the car stops with parameters (5,0.4). What is the PMF of K? b. What is the probability that the car stops at exactly two lights? c. What is the probability that the car stops at more than two lights? d.What is the expected value and the variance of K? crealolobk 2021-12-14 Answered

In a survey of college graduates, 61% reported that they entered a profession closely related to their college major. If 8 college graduates are randomly selected, use the binomial distribution to find the probability of each item. a) Getting exactly $$\displaystyle{3}{\left({x}={3}\right)}$$ that entered a profession closely related to their major. b) Getting 3 or fewer $$\displaystyle{\left({x}\le{3}\right)}$$ that entered a profession closely related to their major. c) Getting at least one $$\displaystyle{\left({x}\geq{1}\right)}$$ that entered a profession closely related to their major. Stefan Hendricks 2021-12-14 Answered

During a visit to a local zoom, students either roam around the zoo solo or with thier friends. It is seen that 20% of the students roam around with thier freinds during a visit to a local zoo In a sample of 6 studentsfind the prob that alteast 2 will roam around with thier friends in the zoo use binomial prob function in excel to solve the question gorovogpg 2021-12-14 Answered

Consider a share that is modelled by a binomial random variable. The probability that the share increases in value by 20¢ in one month is 0.6. The probability that it decreases in value by 20¢ in one month is 0.4. The share is held for 5 months then sold. Let X denote the number of increases in the price of the share over the 5 months. В (п, (a) What is n and p if $$\displaystyle{X}\sim{B}{\left({n},{p}\right)}?$$ (b) Find $$\displaystyle{E}{\left({X}\right)}{\quad\text{and}\quad}\sigma{\left({X}\right)}$$. (c) Let Y be the random variable which models the change in share price. Then $$\displaystyleҮ-{0.2}{X}-{0.2}{\left({n}-{X}\right)}$$ because 0.2X is the total increase in share price and $$\displaystyle{0.2}{\left({n}-{X}\right)}$$ is the total decrease in share price. Simplify the expression for Y in terms of X. Then using (b), find E(Y) and $$\displaystyle\sigma{\left({Y}\right)}$$. bmgf3m 2021-12-14 Answered

According to the American Medical Association, about 36% of all U.S. physicians under the age of 35 are women. Your company has just hired eight physicians under the age of 35 and none is a woman. If a group of women physicians under the age of 35 want to sue your company for discriminatory hiring practices, would they have a strong case based on these numbers? Use the binomial distribution to determine the probability of the company’s hiring result occurring randomly, and comment on the potential justification for a lawsuit. (Round your answer to 4 decimal places.) Probability of hiring result occuring randomly: enter the probability of the company’s hiring result occurring randomly

Binomial probability is one of those subjects that we learn during high school studies, yet good binomial probability examples are not mentioned in most cases, which doesn’t help to solve various questions or find the answers without turning to formulas that do not fit. It’s all about being able to calculate the probability as binomial probability problems can be compared to purchasing a lottery ticket where one can either win or leave without any luck. Addressing the lack of examples, we provide binomial questions and explain how certain answers have been found to address this or that binomial probability equation.
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