Find an answer to any high school probability and statistics problem - PlainMath

Recent questions in Statistics and Probability

granger0317 2022-01-13

Assume the random variable `X` has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X>3) n=6, p=0.7

2022-01-12

you are currently taking your multiple-choice file exam that contains 50 questions with 4 answer choices each using binomial probability what is the probability you get exactly 13 questions correct around your answer to the nearest thousandth

osnomu3 2021-12-31 Answered

There are 15 tennis balls in a box, of which 9 have not previously been used. Three of the balls are randomly chosen, played with, and then returned to the box. Later, another 3 balls are randomly chosen from the box. Find the probability that none of these balls has ever been used.

Bobbie Comstock 2021-12-28 Answered

The National Vaccine Information Center estimates that 90% of Americans have had chickenpox by the time they reach adulthood.2
(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distribution appropriate for calculating the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood? Explain.
(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.
(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not had chickenpox in their childhood?
(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?
(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not had chickenpox?

Maria Huey 2021-12-27 Answered

The probability that a certain machine turns out a defective item is 5%. Find the probabilities that in a set of 75 items:
(a) Exactly 5 defective items
(b) No defective items
(c) At least one defective item
(d) What is the expected value of the number of defective items?
CANNOT BE EXCEL! Thank you!

diferira7c 2021-12-27 Answered

The chance of an IRS audit for a tax return reporting more than 25,000 in income is about 2% per year
a. give the distribution of X. \(\displaystyle{X}\sim{B}\)(,)
b. how many audits are expected in a 20 year period?
c. find the probability that a person is not audited at all.
d. find the probability that a person is all the dead more than twice.

untchick04tm 2021-12-26 Answered

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles.
(a.) List all outcomes in the event A that all three vehicles go in the same direction.
(b.) List all outcomes in the event B that all three vehicles take different directions.
(c.) List all outcomes in the event C that exactly two of the three vehicles turn right.
(d.) List all outcomes in the event D that exactly two vehicles go in the same direction.
(e.) List outcomes in D', \(\displaystyle{C}\cup{D},{\quad\text{and}\quad}\ {C}\cap{D}\).

Osvaldo Apodaca 2021-12-25 Answered

9. The purpose of statistical inference is to provide information about the.
a. sample based upon information contained in the population.
b. population based upon information contained in the sample.
c. population based upon information contained in the population.
d. mean of the sample based upon the mean of the population.
10. Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are.
a. 200 and 18.
b. 81 and 18.
c. 9 and 2.
d. 200 and 2.

Ashley Bell 2021-12-24 Answered

An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometers) distribution is characterized by \(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{-{4}}},{f}{\quad\text{or}\quad}\ {x}{>}{1},{f{{\left({x}\right)}}}={0}\), elsewhere.
a) Verify that this is a valid density function.
b) Evalute F(x).
c) What is the probability that a random particle from the manufactured fuel exceeds 4 micrometers?

Donald Johnson 2021-12-24 Answered

Two cards are drawn successively and without replacement from an ordinary deck of playing cards Compute the probability of drawing a. Two hearts. b. A heart on the first draw and a club on the second draw. c. A heart on the first draw and an ace on the second draw. Hint: In part (c), note that a heart can be drawn by getting the ace of hearts or one of the other 12 hearts.

abreviatsjw 2021-12-21 Answered

Simplify, please:
(n+4)(n+5)(n+3)!

Alfred Martin 2021-12-21 Answered

What did you learn from binomial and Hyper- geometric distributions? Write a brief note of five lines on these distributions.

Stefan Hendricks 2021-12-21 Answered

The probability of getting a passing grade for an exam is 0.4. What is the probability of getting the third student who has a passing grade when 10th student have took the exam

Ikunupe6v 2021-12-21 Answered

Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes. If 11 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes.
The probability is nothing.

Wanda Kane 2021-12-21 Answered

Suppose that you flip a coin 14 times. What is the probability that you achieve at least 4 tails?

kloseyq 2021-12-21 Answered

Consider a binomial experiment with \(\displaystyle{n}={20}\) and \(\displaystyle{p}={0.70}\)
a) Compute f(12)
b) Compute f(16)
c) Compute \(\displaystyle{P}{\left({x}\geq{16}\right)}\)
d) Compute \(\displaystyle{P}{\left({x}\le{15}\right)}\)
e) Compute E(x)
f) Compute \(\displaystyle{v}{a}{r}{\left({x}\right)}\) and \(\displaystyle\sigma\)

Alfred Martin 2021-12-20 Answered

Simplify, please:
\(\displaystyle{\frac{{{n}!}}{{{\left({n}-{3}\right)}!}}}\)

Kaspaueru2 2021-12-20 Answered

A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.
(a)What is the probability that one of the players receives all four Aces?
(b)What is the probability that at least one player receives no hearts?

James Dale 2021-12-20 Answered

42% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactlythree, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities.
(a) \(\displaystyle{P}{\left({3}\right)}=\)
(b) \(\displaystyle{P}{\left({x}\geq{4}\right)}=\)
(c) \(\displaystyle{P}{\left({x}\le{2}\right)}=\)

Kelly Nelson 2021-12-20 Answered

X~N(335, 50).
Find the z-score corresponding to an observation of 284.
-1.02
6.7
1.02
-6.7

1
2
3
4
...
84

The majority of probability questions that you shall encounter will not include calculation alone as analysis must be used as well.

...