The probability of a dry summer is equal to 0.2, the probability of a wet summer is equal to 0.3, and the probability of a summer with normal precipitation is equal to 0.5. A climatologist observed the precipitation during four consecutive summers.' a). Enumerate the sample space, and assign probabilities to each elementary event; b). What is the probability of observing t

The probability of a dry summer is equal to 0.2, the probability of a wet summer is equal to 0.3, and the probability of a summer with normal precipitation is equal to 0.5. A climatologist observed the precipitation during four consecutive summers.' a). Enumerate the sample space, and assign probabilities to each elementary event; b). What is the probability of observing t

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The standard deviation of monthly rents paid by students in a particular city is assumed to be $ 40. a) If a random sample of 100 students is taken, what is the probability that the sample mean is at least $ 5 higher than the population mean? b) If a random sample of 100 students is taken, what is the probability that the sample mean is at least $ 4 lower than the population mean? c) What should the sample size be so that the probability that the difference between the sample mean and the population mean (negative and positive total) is less than 0.01 $?
4) The probability a student passes a class is 0.M If 7 students are randomly selected, find the following: a. The binomial probability distribution b. Give the shape of the PD c. Find the mean of the PD d. Find the standard deviation of the PD e. Find the probability that less than 4 students pass the class. f. Find the probability that more than 5 students pass the class.
hello I need answers to 3a,3b,3c please and thank you!
A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 4 6. f 1 1 11 7 a. Determine the probability distribution of the random variable Y. 3 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as The event that Y takes on a value of at least 5 can be represented as { }. c. Find P(Y = 5), P(Y 5). %3D P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y<5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.) LO
3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?
2. In Manoa Valley on the island of Oahu (Hawaii) the annual rainfall averages 43.6 inches with standard deviation 7.5 inches. A year is chosen at random, find the probability: a). the annual rainfall is more than 56 inches: b). the annual rainfall is less than 32 inches: c). the rainfall is between 35 and 50 inches:
What requirement must be met to be a true random sample? A.The probability of selecting one individual is independent of selecting another individual. B. The probability of being selected stays constant from one selection to another. C. Each individual has an equal chance of being selected for the sample. D. All of the answers are correct. E. Sampling is done with replacement.
One control is beyond +2 s from the mean. How frequently would this occur on the basis of chance alone? why the correct answer is B ..please explain with pictures and explnation A. 1:100 B. 5:100 C. 1:400 D. 1:1600
c) If the probability that a person scores below a particular value is 0.7, then the probability a person scores above that value equals? d) If the probability that a person scores between a particular positive z value and the mean is 0.31, then the probability a person scores above that value equals?
5. You have a sample with a mean of 46 and a standard deviation of 8. What is the probability of randomly selecting: a) a score above 64? b) a score between 40 and 50? c) a score below 32? 6. You have a sample with a mean of 51 and standard deviation of 12. What is the probability of obtaining a raw score a) below 46? b) below 46 or above 56? 7. Jake needs to score in the top 10% of his class to earn a physical fitness certificate. The class mean is 83, and the standard deviation is 3.2. What raw score does he need to get the certificate?
3. Assume that the wait time to see your family doctor is uniformly distribution been 10 and 30 minutes. A. What's the probability you wait more than 20 minutes to see your family doctor? B. What's the probability you less than 15 minutes to see your family doctor? C. What's the probability you wait between 20 and 25 minutes?
d and e only