Determine the probability of exactly 3 arrivals at the checkout in a randomly selected 2-minute period within business hours. ii. Let Y be the variable representing the number of arrivals at the checkout during a 10-minute period. State the type of distribution Y has and it’s parameter/s and use this to determine the probability of less than 8 arrivals at the checkout in a 10-minute period.

Determine the probability of exactly 3 arrivals at the checkout in a randomly selected 2-minute period within business hours. ii. Let Y be the variable representing the number of arrivals at the checkout during a 10-minute period. State the type of distribution Y has and it’s parameter/s and use this to determine the probability of less than 8 arrivals at the checkout in a 10-minute period.

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...

See similar textbooks

Similar questions

2. Graph each distribution using a probability histogram. a) P(x) b) P(x) 0.05 1 12 4 0.13 5 12 1 6. 0.24 8. 0.38 1 3 10 0.12 1 12 0.05 3 14 0.03
A county has been experiencing a mean of 33.8 motor vehicle deaths each year. Use the Poisson distribution to answer the following. a. Find the mean number of deaths per day. b. Find the probability that on a given day, there are more than 2 motor vehicle deaths. c. Is it unusual to have more than 2 motor vehicle deaths on the same day? Why or why not? a. The mean number of deaths per day is (Round to three decimal places as needed.)
10. The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 6 students who fail per sem. d. If exponential distribution can model this system, what is the probability that there will be no failing students right after midterm? Let X denote the time in semesters from the start of the interval until the first failure and that a semester is divided by midterm period.e. Calculate the probability that there will be a failing student within the first semester.f. Calculate the probability that a failing student will be first spotted after midterm up to end of the first semester?
, 16. A statistically minded fraternity junior keeps records on how many girls he has to ask before one agrees to be his date for a Saturday football game. His school plays five home games and his five acceptances come on the 3rd, 6th, 4th, 2nd, and 9th girl he asks. Assume that the probability, e, that any girl he asks will accept his invitation is constant from girl to girl. Mind ML estimate of e.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car.a. What is the distribution of X? X ~ N( ? , ? )b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. Round to 4 decumal places. ?c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 74 mph. Round to 4 decimal places. ?
It has been determined that the distribution of faulty products in a factory conforms to Poisson. 2% of the products produced monthly are defective. Calculate the probability of finding 3 defective parts in 250 randomly drawn samples.7a. 0.140b. 0.095c. 0.091D. 0.253to. 0.145
Consider X is a random variable and has equal probability of being -1,0,+1. What is the correlation between X and Y while Y=X*X.
1. The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete Parts (a) through (c) below. a.) Compute the mean number of accidents per day using the table below Number of accidents Daily (x) 0-Nm Jha 6 P(X = Xi) 0.26 0.3u 0.19 0.08 0.07 0.04 0.02 # Please use excel to answer question
Answer D
4. A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Yı = 0, if the policy holder does not have any health issues; Yı = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
The number of goals scored at state college hockey games follows as poisson distribution with a mean of five goals per game. Find the probability that a randomly selected state college hockey game would have more than three goals
2. Give the probability generating function for an offspring distribution in which an individual either dies, with probability 1- p, or gives birth to three children, with probability p, Also find the mean and variance of the number of children in the fourth generation.