The temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities: The probability that the temperature randomly selected time is between 78 and 88 degrees, the probability that the temperature at a randomly selected time is bet
1. The array below shows the number of days required for approval for a random selection of small business loan applications: 56 21 38 17 15 67 45 48 60 56 22 53 37 17 50 92 39 16 59 73 17 31 28 51 74 42 31 What is the arithmetic mean for these observations? (Rou
A pair of dice are rolled. Find the following: a. The odds against "doubles" (the same number on both dice) b. The probability of a sum greater than 2 c. The odds in favor of "7 or 11" d. The probability of a sum that is even and less than 5
Given that events A and B are Mutually Exclusive, and that P(A) = 0.4, and P(B) = 0.3. What is: a. P(A and B)? b. P(A or B)?
In a recent survey of 1282 moviegoers, 712 said they prefer butter on their popcorn while the rest did not. Now given the chance that at least one person will have a cell phone conversation right at the most intense part of the movie and given the fact that you have a 1 in 3 chance of sitting in front of a crying baby all
1) A die with three sides {1,2,3} is tossed two times. Let X equal the maximum of two observations and let Y equal the minimum. Find the coefficient of X and Y. 2) Let X1, X2, ...Xn be random variables denoting n independent bids for an item that is for sale. Suppose each Xi is uniformly distributed on the interval [100,20
Please solve without probability: For X, a normal with mean 0, variance 1/2, find ... See attachment for complete question.
7. (Construction) Find the distance between - Poiss (2) and Poiss (5) - Geometric with parameter p and geometric with parameter q. 8. (Application) Let X have normal density with mean 1 and variance 9. Find the inflection points of its density. See the attached file.
You have graduated from college and have been working hard to get established in your field. You eventually land a perfect job where you make tons of money. You decide to step up from the 1992 Chevrolet Cavalier that you have been nurturing for a number of years into a more "comfortable" car (a.k.a. more expensive). You decide t
Amounts of Coke. Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. Find the probability that a sample of 36 cans will have a mean amount of at least 12.19 oz.
1. Draw a normal probability distribution (bell curve) on a piece of paper and mark the center line (mean). (no need to send me the sketch-just tell me your answer. a. Draw another line to the right of the center and call it x. If you want to know what the value of the area "greater than" x is, would you be looking to the area
1. This week we learned about normal distributions: a. Using your own words, tell me what the difference is between a normal distribution and a standard normal distribution. b. Why do we convert values to z scores to find probability? 2. What is the difference between z scores and area in a bell curve? 3. T / F The n
1. Your department just shipped 100 engines, and all of them were free of defects. Please tell me which of the following written descriptions is the complement of this event? (Be careful-I HIGHLY suggest referring to the text one more time. This one is really tricky-but the answer is in the test!) a. All of the engines are defe
1. You just got that degree for which you have been working long and hard. You are offered a job, but the drawback is that you have to move. You check into the town and things start to look better. There are lots of nice parks, bike trails, community events, and a low crime rate. You were interested to find out that 2% of the pe
It can be easy enough to get the addition rule and the multiplication rule confused. Tell me the difference between the two. Provide the notations and then tell me what type of problem I would use each one for. Addition Rule: Notation for Addition Rule: P(A or B) = P(event A occurs or event B occurs or they both occur). M
Suppose that 25% of US males and 23% of US females never eat breakfast. Suppose a random sample of 250 men and 250 women is taken and polled about eating breakfast. a) What is the probabilty that at least 110 of these 500 people never eat breakfast? b) What is the probability that the number of women who never eat breakfast is
Show that, if X has a U(0,1) distribution, its mean is 1/2 and its variance is 1/12. Let Y = a + (b - a)X where a,b are constants, a<b. What is the distribution of Y? What are its mean and variance? Please see attached for partial solution.
In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view. A person is selected out of this category at random. Assuming the male female ratio to be equal find out the probability of the
The problems are from 400 level probability class but introductory course. Please specify the terms you use (if necessary) and explain each step of your solutions. 3. Let X be uniformly distributed on [0,1]. Find the probability that 6X^2 - 5X + 1 is greater than zero. See the attached file.
The problems are from 400 level probability class but introductory course. Please specify the terms you use (if necessary) and explain each step of your solutions. 2. One evening, Fyodor decides to play 10 games of roulette, betting $100 on black each time (this bet wins $100 with probability 18/38, and otherwise loses $100)
Six students will decide which of them are on a committee by flipping a coin. Each student flips the coin and is on the committee if he or she gets a head. What is the probability that someone is on the committee, but not all 6 students?
30) An image is partitioned into 2 regions - one white and the other black. A reading taken from a randomly chosen point in the white section will give a reading that is normally distributed with Mean=4 and Variance =4, whereas one taken from a randomly chosen point in the black region will have a normally distributed reading wi
Each item produced by a certain manufacturer is, independantly, of acceptable quality with probability 0.95. Approximate the probability that at most 10 of the next 150 items produced are unacceptable.
Six students will decide which of them are on a committee by flipping a coin. Each student flips the coin, and is on the committee if he or she gets a head. What is the probability that someone is on the committee, but not all 6 students?
Find the odds in favor of a card drawn from an ordinary deck being the following. A red face card or a queen.
A music store has jazz, classical, country western, and rock music albums on tapes and CDs in the following quantities: Jazz Classical Country Western Rock Total Tape 46 14 36 53 149 CD 38 53 22 19 132 Total 84 67 58 72 281 a. Form a related table with entries that are relative frequencies (three decimal places).
We have found the density of the sum of two independent U(0,1) variables. Use that result to find the density of the sum of three independent U(0,1) variables. (You will need to treat intervals (0,1), (1,2) and (2,3) separately, although an appeal to symmetry can reduce the work. Give yourself a gold star if you get the righ
Only answer parts C) and D) of the attached question, please. Each of 500 soldiers in an army company independently has a certain disease with probability 1/10[cubed]. This disease will show up in a blood test, and to facilitate matters blood samples from all 500 are pooled and tested. One of the 500 people is Jones, who kno
1. Suppose that the monthly worldwide average of airplane crashes of commercial planes is 2.0. (a) What is the probability of exactly 6 crashes in the first 3 months? (b) What is the probability of having exactly 2 crashes in each of the first two months? (c) What is the probability of having exactly 2 crashes in the each
Each of 500 soldiers in an army company independently has a certain disease with probability 1/10[cubed]. This disease will show up in a blood test, and to facilitate matters blood samples from all 500 are pooled and tested. a) What is the (approximate) probability that the blood test will be positive (and so at least one pe