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Recent questions in High school probability

Bobbie Comstock 2021-12-28

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

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

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. $X \sim B$ (,)
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

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', $C \cup D, and C \cap D$ .

burkinaval1b 2021-12-26

Assume that the duration of human pregnancies can be described by a Normal model with mean 266 days and standard deviation 16 days. a) What percentage of pregnancies should last between 270 and 280 days? b) At least how many days should the longest 25% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 60 pregnant women. Let y̅ represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, y̅? Specify the model, mean, and standard deviation. d) What's the probability that the mean duration of these patient's pregnancies will be less than 260 days?

Donald Johnson 2021-12-24

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.

Alfred Martin 2021-12-21

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

abreviatsjw 2021-12-21

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

Stefan Hendricks 2021-12-21

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

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

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

kloseyq 2021-12-21

Binomial experiment with $n = 20$ and $p = 0.70$
a) Compute f(12)
b) Compute f(16)
c) Compute $P (x \geq 16)$
d) Compute $P (x \leq 15)$
e) Compute E(x)
f) Compute $v a r (x)$ and $σ$

Kaspaueru2 2021-12-20

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?

Joanna Benson 2021-12-20

Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Find the probability that (a) 3 red, 2 blue, and 2 green balls are withdrawn; (b) at least 2 red balls are withdrawn; (c) all withdrawn balls are the same color; (d) either exactly 3 red balls or exactly 3 blue balls are withdrawn.

Alfred Martin 2021-12-20

Simplify, please:
$\frac{n!}{(n - 3)!}$

James Dale 2021-12-20

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) $P (3) =$
(b) $P (x \geq 4) =$
(c) $P (x \leq 2) =$

Zerrilloh6 2021-12-19

An insurance salesman sells policies to 5 men the prob. that a mean will be a live in 30 years is $\frac{2}{3}$ . Find the prob. that in 30 years: a) all 5 men , b) at least 3 men , c) only 2 men

Shelia Lawrence 2021-12-19

In addition to his social studies class, Edward must complete a five question multiple-choice exam. There were four possible answers for each question, but only one of them was right. assuming Edwards guesses on each of the five inquiries. What is the likelihood that he will respond correctly to all five questions, exactly two questions, or at least two questions?

Ashley Bell 2021-12-19

An insurance company reported that 75% of all automobile damage claims were made by people under the age of 25.
If ten automobile damage claims were selected at random, determine the probability that exactly two of them were made by someone under the age of 25.
The probability is ?.
(Type an integer or decimal rounded to five decimal places as needed.)

Kelly Nelson 2021-12-19

When you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a prize is $\frac{1}{100}$ , what is the (approximate) probability that you will win a prize (a) at least once, (b) exactly once, and (c) at least twice?

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