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Some parts of California are particularly earthquake-prone. Suppose that in one such area... a) Find the probability distribution of X... Please see attached.


Problem Assume that E[|X-2|³]=5. Give a lower estimate for P[-2<X<6] Please see attached.

Probability : Binomial Distribution

#34. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of bein

Sampling Distribution and Sample Mean : Probability

The shelf life of a digital storage device is normally distributed with mean 10 years and standard deviation 2 years. Suppose you are a quality assurance manager and wish to verify this statistic. You choose a sample of 25 storage devices sold in the last 10 years. Supply the following information: Describe the sampling distribu

Probability : Confidence Interval

After reviewing 100 drug stores across nation, you discover that a certain prescription drug has an average price of $40 for $20 pills with a standard deviation of $5. Using this information, deduce with 95% accuracy where the national average cost of 20 pills lies.

Probability : Normal Distribution and Z-Score

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

Probability-A pair of dice are rolled.

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

Probability : Sampling

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

Probability and Statistics : Confidence Intervals and Random Variables

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

Probability; mean; variance

Please solve without probability: For X, a normal with mean 0, variance 1/2, find ... See attachment for complete question - thanks!

Find Probability the Mean is the Given Number

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

Probability; Mean and Standard Deviation

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.

Normal probability distribution (bell curve)

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

Probability : Complements

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

Basic Probability

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

Probability : Addition and Multiplication Rules

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

Jointly Distributed Random Variables : Binomial Distributions

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

Probability : Mean and Variance of a Distribution

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.

Continuous Random Variables - Introductory Probability - 400 Level Class

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

Find the probability

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.


Find the odds in favor of a card drawn from an ordinary deck being the following. A red face card or a queen.

Form a related table with entries that are relative frequencies. Based on the relative frequencies, estimate the probability that an album selected at random is a rock album, classical CD or country western CD, jazz or classical album, CD.

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).