Suppose we are investigating the safety of a very dangerous cruise ship. Police records indicate an average of 5 accidents per month on it. The number of accidents is distributed according to the Poisson distribution, and the Highway Safety division wants to calculate the probability that exactly 1 accident will occur in a given month

Suppose we are investigating the safety of a very dangerous cruise ship. Police records indicate an average of 5 accidents per month on it. The number of accidents is distributed according to the Poisson distribution, and the Highway Safety division wants to calculate the probability that exactly 1 accident will occur in a given month

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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[item#12] Instructions: Kindly read the question carefully and provide answer correctly and completely. Otherwise, I will dislike your solution.
24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week, he counts how mnany times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fir? How many seconds should he expect a player to take to run -0 yards if that player can do 22 leg-press repetitions Round any values to the nearest tenth, if necessary Leg Press (reps) 32 7 11 23 28 15 12 40-vard Dash (s) S.6 14.6 7.1 S.3 11 9 13 4 9.5 53°F a
If it is known that the percentage of successful students is 75%, and you take a sample of 15 students, calculate 1. The probability of having 10 successful bears 2. The probability of success of more than 13 students 3. variance
Suppose X, Y and Z are 3 random variables. The mean of X is 2. The mean of Y is 3. The mean of Z is 4. The standard deviations are 1, 2, and 3 (in the same order). The correlation between any two is -1/4. Find the mean and variance of T = X +Y+ 2Z.
4. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. What is the probability that there are no calls within a 30-minute interval?
Suppose that the tenth prize of a $1600 tournament will be $100 and each place should be worth approximately 10% more than the next place. Discuss the realistic distribution of prize values if they are rounded to the nearest penny, dollar, five dollars, and ten dollars.
In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200. NOTE: Please explain each part, so the problem can be used as a Study Guide
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Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
Solve Q3 correctly and clear