Probability Examples and Explanations
Jace Baxter 2022-02-11A 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?
Jace Baxter 2022-02-11How do you find probabilities of compound events?
raja.ir02 2022-01-3110. 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.
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
granger0317 2022-01-13Assume that the random variable X has a binomial distribution and the specified likelihood of succeeding. Given the quantity of trials and the likelihood of success, determine the following probability.
P(X>3) n=6, p=0.7
Assume that the random variable X has a binomial distribution and the specified likelihood of succeeding. Given the quantity of trials and the likelihood of success, determine the following probability.
P(X>3) n=6, p=0.7
osnomu3 2021-12-31There 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.
untchick04tm 2021-12-26Suppose 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',
(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',
burkinaval1b 2021-12-26Assume 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?
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 2021-12-24Two 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.
Joanna Benson 2021-12-20Seven 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.
Tara Alvarado 2021-12-18Two fair dice are rolled. Find the joint probability mass function of X and Y when (a) X is the largest value obtained on any die and Y is the sum of the values; (b) X is the value on the first die and Y is the larger of the two values; (c) X is the smallest and Y is the largest value obtained on the dice.
hadejada7x 2021-12-17Suppose that you are rolling a six sided dice. Let A-get a 3 What is P(A)?
a. 4/6
b. 5/6
c. 1/6
d. 3/6
a. 4/6
b. 5/6
c. 1/6
d. 3/6
untchick04tm 2021-12-17Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked is an exponential random variable with parameter
Arthur Pratt 2021-12-16Approximately 80,000 marriages took place in the state of New York last year. Estimate the probability that, for at least one of these couples, (a) both partners were born on April 30; (b) both partners celebrated their birthday on the same day of the year. State your assumptions.
Anne Wacker 2021-12-15Suppose that we roll a fair die until a 6 comes up.
1) What is the probability that we roll the die n times?
2) What is the expected number of times we roll the die?
Suppose that we roll a fair die until a 6 comes up.
1) What is the probability that we roll the die n times?
2) What is the expected number of times we roll the die?
Carole Yarbrough 2021-12-08During contract negotiations, a company seeks to change the number of sick days employees may take, saying that the annual “average” is 7 days of absence per employee. The union negotiators counter that the “average” employee misses only 3 days of work each year. Explain how both sides might be correct, identifying the measure of center you think each side is using and why the difference might exist.
sonkitty2h 2021-12-06Consider a Poisson distribution with a mean of two occurrences per time period.
Write the appropriate Poisson probability function to determine the probability of x occurrences in three time periods.
Write the appropriate Poisson probability function to determine the probability of x occurrences in three time periods.
Liesehf 2021-12-04Consider a Poisson distribution with a mean of two occurrences per time period.
Compute the probability of six occurrences in three time periods.
Compute the probability of six occurrences in three time periods.
skomminbv 2021-12-04Consider a Poisson distribution with a mean of two occurrences per time period.
Compute the probability of five occurrences in two time periods.
Compute the probability of five occurrences in two time periods.
smismSitlougsyy 2021-12-03Uniform distribution is defined over the interval from 2 to 5.
Find the probability of a value between 2.9 and 3.7.
Find the probability of a value between 2.9 and 3.7.
If you are looking for high school probability equations, you are in the right place because we can provide you with the list of answers and questions that will help you as you deal with your equations or just need practical examples. If you need to deal with something specific, browse through the list of examples and see how each answer has been handled.
The high school probability differs from those engineering tasks, yet it is not always much simpler if you do not know the basics. Therefore, take your time to see our examples and learn.
