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Probability

Statistics z test probability

Packages from packing machine have a mass, which is normally distributed with mean 200g and standard deviation 2g. Find the probability that the package from the machine weighs a) less than 197g b) more than 200.5g (use standard normal variable Z and normal distribution tables)

Probability and proportion

Suppose that a market for a certain type of automobile consists of those made by manufacturers 1 and 2... what is the probability that at least 150 automobiles in the market lasts over 10 years? Please see attached.

Probability : Maximium Likelihood Estimator and p-Values

A GMAT test center reports that out of 200 students who took a GMAT test at the test center 60 scored above 600. a) Derive the maximum likelihood estimator (MLE) of p, the proportion of students scoring above 600. What is the ML estimate of n*p(1-p) b) What is the MLE of P(X<50)? c) Test if the proportion of students sc

Probability distribution

A single die is rolled once. You lose $12 if a number divisible by 3 turns up. How much should you win if a number not divisible by 3 turns up for the game to be fair? How would I set this up, and what formulas?

Probability : Sampling Without Replacement - Card Hands

6. A hand of 4 cards contains one card of each suit ( I,e., one Heart, one Diamond, One Club and one spade). Simon uses this hand to play a game for which the rules are as follows: (1) When a Heart is drawn, the game stops immediately. (2) If the Diamond is drawn, the Diamond is set aside and not replaced (so that when the game

Probability

Three friends play a game of darts until one of the 3 is declared a winner. It is known that Jan is twice as likely to win as Julio, and Jean is only half as likely to win as Julio. (a) What is the probability that Julio will win? (b) If Jan didn't win, what is the probability that Julio did?

Combinations and Probability (8 Problems) - Camp Cawapati

1. At Camp Cawapati, there is a prize ceremony at the end of each camp session. The campers compete at a variety of challenges throughout the 2-week session, in hopes of earning trophies. For each challenge a camper wins, the camper receives a small replica of the Sacred Cawapati Cup. (These replica trophies are all identical.)

Probabilities related to a sample mean.

The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500 psi. a. What is the probability that the sample mean breaking strength for a random sample of 40 rivets is between 9900 and 10,200. b. If the sample size had been 15 rather than 40, could the probability requested in part (a) b

Joint Probability Distribution Function

10. Annie and Alvie have agreed to meet between 5:00 pm and 6:00 pm for dinner at a local health food restaurant. Let X=Annie's arrival time and Y=Alvie's arrival time. Suppose X and Y are independent with each uniformly distributed on the interval [5, 6]. a. What is the joint pdf of X and Y? b. What is the probability that

Poisson Probability Distribution

80. Suppose that only .10% of all computers of a certain type experience CPU failure during the warranty period. Consider a sample of 10,000 computers ... Please see attachment for complete question. Thanks

Quota, Banzhaf Distribution and Shapely-Shubick Distribution

PLEASE SHOW ALL WORK FOR COMPLETE UNDERSTANDING 1) FIND PROBALITY OF PULLING ETHIER AN EVEN NUMBER CARD OR A RED NUMBER CARD ON ONE PULL OF A CARD FROM A 52 CARD DECK? 2) IF A BOX CONTAINS 8 RED MARBLES AND 4 BLUE MARBLES FIND THE PROBALITY OF PULLING BLIND WITH OUT REPLACEMENT A) A RED FOLLOWED BY A BLUE

Probability; Interest Rate; Bacteria Multiplication

PLEASE SHOW ALL WORK FOR COMPLETE UNDERSTANDING! 1) A bacteria culture starts with 7 bacteria which multiply simultaneously every three house. If the first generation is born fromt he initial group at 12 midnight a. How many bacteria will be in the culture at midnight the next night? b. Also what time will there be 224

Statistics

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

Probability

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