High school probability Uncovered: Discover the Secrets with Plainmath's Expert Help

Let X be a binomial random variable with ${\displaystyle p=0.3}$ and ${\displaystyle n=15}$
What is ${\displaystyle P(5\le X\le 10)}$?

${\displaystyle 65\mathrm{\%}}$ of men consider themselves knowledgeable soccer fans. If 14 men are randomly selected, what is the probability that exactly 4 of them will consider themselves knowledgeable fans?

Assuming that engine failures are independent of each other, what is the probability that on a certain transcontinental flight, a six-engine plane will experience exactly one engine failure?

They gave a test of 22 multiple-choice questions. Each question has 4 possible answers, only one of which is correct. What is the probability that you will guess at most three correctly?

He probability of rain on any given day is ${\displaystyle \frac{2}{3}}$. What is the probability of at most one day of rain during the next 3 days?

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is 0.02. What is the probability that neither will fail?

What is the probability of a student guessing randomly on a test and getting at least 8 out of 10 true and false answers correct?

Assume that Tom attends randomly with probability 0.55 and that each decision is independent of previous attendance. What is the probability that he attends at least 7 of 10 classes given that he attends at least 2 but not all 10 classes?

With ${\displaystyle n=13}$ and ${\displaystyle p=0.4}$, how do you find P(at least 7) using a binomial probability table?

Two urns are given.The first one contains two white balls and 3 black ones and the second contains one white ball and 4 red ones. What is the probability that the ball drawn from the second urn is red?

If ${\displaystyle n=5}$ and ${\displaystyle p=0.6}$, what is the probability that ${\displaystyle P(X=2)?}$

A 10 question multiple choice exam is given and each question has 5 possible answers. A student takes this exam and guesses at every question. What is the probability they get at least 9 questions correct?

A collection of 22 laptops includes 6 defective laptops. If a sample of 3 laptops is randomly chosen from the collection, what is the probability that at least one laptop in the sample will be defective?

A packet of vegetable seeds has a germination rate of 96%. What is the probability that exactly 10 of 12 seeds planted will sprout?

For a binomial distribution with n=5 and p=0.40, find P(X=1).

10. What is the probability of these events whenwe randomly select a permutation of the 26 lowercase letters of the English alphabet?

a) The first 13 letters of the permutation are in alphabetical order.

b) a is the first letter of the permutation and z is the last letter.

c) a and z are next to each other in the permutation.

d) a and b are not next to each other in the permutation.

e) a and z are separated by at least 23 letters in the permutation.

f ) z precedes both a and b in the permutation.

Connie Rodrigues, the Dean of Students at Midstate College, is wondering about differences in grades between Business school and College of arts & science. A quick random sampling produced the following GPAs (Grade Point Average). Business School: 2.86 2.77 3.18 2.8 3.14 2.87 3.19 3.24 2.91 3 2.83 Arts & Sciences 3.35 3.32 3.36 3.63 3.41 3.37 3.45 3.43 3.44 3.17 3.26 3.18 3.41 (a) Assuming that the GPAs are normally distributed, test whether there is difference in grades between Business School and Arts & Science College. Use α = 0.01. 07 (b) If the Dean believes that grades of Business School students are better than that of Arts & Science college, test her belief at α = 0.01. 07 OR Q.5 (a) Assuming that the GPAs are not normally distributed, apply appropriate non-parametric to test whether there is difference in grades between Business School and Arts & Science College. Use α = 0.01. 07 (b) Assuming that the GPAs are not normally distributed, apply appropriate non-parametric to test whether Business School students score better GPAs than students of Arts & Science College. Use α = 0.01

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

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.