2. The probability distribution of sales of a new drug in units per day is given by:S(2) =r = 1,2, 3, 4, 5, 6a. What is the probabilty that at least 3 units are sold in one day?b. Construct probability distribution table with cumulative distribution functionc. Use F(a) to evaluate P(2 3)

2. Given information: fx=kx2, x=1,2,3,4,5,6 Therefore,…

Answered: 2. The probability distribution of…

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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6. The life expectancy of a brand of car motors has a normal distribution with "- 75,000 and o - 5,500. a. Find the probability that 1 motor is chosen at random will have a life expectancy of more than 90,000 miles.
16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.
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D5) The 3-point shooter star of your favourite team usually attempts eight 3-point shots in a basketball game. The team record shows that the shooter makes 30% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 1.25 standard deviation more than the expected?
1. A roulette wheel is divided into 25 sections of equal area numbered from 1 to 25. Find a formula for the probability distribution of X, the number that occurs when the wheel is spin. Find the probability that the number is less than 5. Also, compute the mean and the variance of the random variable X.
Anil and Bala have the choice of using either Integrated Pest Control (IPC) or Terminator (T) to solve the problem of pest insects. The table below shows their payoffs depending on their choice. The following diagram shows these possible outcomes on a graph. Based on the information above, which of the following is correct? a.(I, I) is the unique Pareto efficient outcome. b.Anil and Bala can Pareto improve by moving from (T, T) to (T, I). c.(T, T) is the only Pareto inefficient outcome. d.Anil and Bala will both be happy to move from the Pareto efficient (I, T) to the "fairer" Pareto efficient outcome (I, I).
The time between arrivals of customers at the drive-up window of a bank follows an exponential distribution with a mean of 20 minutes. a)What is the probability that the arrival time between customers will be 13 minutes or less? b)What is the probability that the arrival time between customers will be between 13 and 27 minutes?
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.
10. In a survey carried out it is found that 25% of the students in Uni Razak have Ducati monster 795. a. If 10 students are chosen at random find the probability that half of them have Ducati monster 795 b. If there are 3 000 students find the mean and standard deviation of students whom have Ducati monster 795

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2. The probability distribution of sales of a now drug in units per day is given by: - 1,2, 3, 4, 5, 6 a. What is the probabilty that at least 3 units are sold in one day? Jebilitu di diutriluti