Up Your Binomial Probability Skills

Recent questions in Binomial probability

Danelle Albright 2021-12-10

A robot has a probability to solve a puzzle of 47% if the robot tries to solve 10 puzzles. 1. What is the probability that the robot to solve less than 2 puzzles ( not including 2)? Use 4 dig 2. On average, how many puzzles will be solved by the robot:

oliviayychengwh 2021-12-10

In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 160 randomly selected students on your campus and find that 79 of them would prefer a boy. Complete parts (a) and (b) below.
Click here to view the standard normal distribution table (page 1).
LOADING...
Click here to view the standard normal distribution table (page 2).
LOADING...
(a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 160 students, at least 79 would prefer a boy, assuming the true percentage is 45%.
The probability that at least 79 students would prefer a boy is 3636.
(Round to four decimal places as needed.)

zagonek34 2021-12-10

The manufacture of textile assumes that the proportion of orders for late delivery of raw material is $p = 0.7$ . If at most 4 arrived late for a random sample of 12, reject the hypothesis that $p = 0.7$ in favor of the alternative hypothesis that $p < 0.7$ . Use the binomial distribution.
a.) Find the probability of committing a type I error if the true proportion is 0.7.
b.) Find the probability of committing a type II error for the alternative $p = 0.6$ .

Ernest Ryland 2021-12-10

Students arrive for the much dreaded JEE Advanced according to a Poisson process with rate lambda. For sanitization process they must stand in a queue,each student can take different time or same time compared with some other student for sanitization. Let us denote the time taken by i-th student as $X_{i}$ .
$X_{i}$ are independent identically distributed random variables. We assume that $X_{i}$ takes integer values in range 1,2, ... , n, with probabilities $p_{1}, p_{2}, \dots, p_{n}$ . Find the PMF for $N_{t}$ , the number of students in sanitization queue at time t.

Nefissi8u 2021-11-26

The selling price of a refrigerator is $584. If the markup is 25% of the dealers

Liesehf 2021-11-21

What is the coefficient of
$x^{8} y^{9}$
in the expansion of
${(3 x + 2 y)}^{17}$ ?

There is a water in two tank, tank a&b. The volume of tank a and b is 4:3. When 0.8 liter of water is added to tank A, there is twice much more water in tank A than tank b. When tank A is filled completely, it is 1/4 of tank b, how much more water to fill tank b to its rim?

Cem Hayes 2021-10-02

After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only two women among the last 19 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.
Help her address the charge of gender discrimination by finding the probability of getting two or fewer women when 19 people are hired, assuming that there is no discrimination based on gender.
(Report answer accurate to 8 decimal places).

Bevan Mcdonald 2021-10-02

In a family of 6 children, what is the probability of getting exactly 5 boys?

tinfoQ 2021-10-02

In a poll men and women were asked"When someone yelled or snapped at you at work, how did you want to respond Twenty percent of the women in the survey said that they felt like crying (TimeApril 4, 2011) Suppose that this result is true for the current population of women employees. Arandom sample of 24 women employees is selectedUse the binomial probabilities table or technology to find the probability that the number of women employees in this sample of 24 who will hold the above opinion in response to the said question is

ka1leE 2021-10-02

What are the 6 criteria for the Binomial Probability and which four pertain only to the Binomial?

sanuluy 2021-10-02

Imagine that the New England Colonials baseball team has an equal chance of winning and losing a game. What is the likelihood that, out of four games chosen at random, exactly three will be won by the Colonials?
Round your response to at least three decimal places. (If necessary, refer a list of formulas.)

iohanetc 2021-10-02

If X is a binomial random variable, for what value of $θ$ is the probability b(x; n, $θ$ ) a maximum?

sibuzwaW 2021-10-02

a) To verify that the Rams

Isa Trevino 2021-10-02

To match: For a continuity adjustment, the binomial probability statement and its equivalent normal distribution probability statement (a)–(d).

Cheyanne Leigh 2021-10-02

The chances that Julia will have no spelling mistakes on a page she is writing are 0.7. One day, Julia writes a first draft that is 4 pages long.
Assuming that Julia is equally likely to have a spelling mistake on each of the 4 pages, what is the probability that she will have no spelling mistakes on at least one of them?
P(at least one without mistakes)=_

Jerold 2021-10-02

To explain the pros and cons of binomial probability tables.

Kyran Hudson 2021-10-01

Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are $n = 8$ trials, each with probability of success (correct) given by $p = 0.20$ . Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 3.

Aneeka Hunt 2021-10-01

The number of products manufactured in a factory in a day are 3500 and the probability that some pieces are defected is 0.55 then the mean of binomial probability distribution is
a) 63.64
b) 1925
c) 3500
d) 6364

sagnuhh 2021-10-01

Suppose that you are taking a multiple-choice exam with five questions, each have five choices, and one of them is correct. Because you have no more time left, you cannot read the question and you decide to select your choices at random for each question. Assuming this is a binomial experiment, calculate the binomial probability of obtaining exactly one correct answer.

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.

High school probability

Ace Your Binomial Probability Tests with Plainmath's Expert Help and Detailed Resources