2. A review of emergency room records at the Dhaka Medical College Hospital was performed todetermine the probability distribution of the number of patients entering the emergency roomduring a 1-hour period. The following table lists this probability distribution.1 2Patient's per hour:Probability:340.20 0.30 0.20 0.14 0.10 0.06(a) Graph the probability distribution.(b) Find the probability that the number of patients entering the emergency room during arandomly selected 1-hour period is at least 3.(c) Find the probability that the number of patients entering the emergency room during arandomly selected 1-hour period is at most 2.

Answered: 2. A review of emergency room records…

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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A pencil company has four extruders for making pencil lead. The maintenance manager has determined from historical data that the following table describes the distribution of the number of extruders down (out of operation) on any given day: y 0 1 2 3 4 P(y) 0.5 0.3 0.1 0.05 0.05 a. Find the probability that three or more extruders are down. b. Find the probability that fewer than one extruder is down. c. Find the expected number of extruders down. d. Find the population variance and the population standard deviation for the number of extruders down.
Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. Compute the mean of the probability distribution.
Spectrum provides cable television and internet service to millions of customers. Suppose that the management of Spectrum subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows. f(x) 100,000 0.05 200,000 0.20 300,000 0.25 400,000 0.35 500,000 0.10 600,000 0.05 (a) Is this probability distribution valid? Explain. This probability distribution ---Select--- valid because ---Select--- | for x = 100,000, 200,000, 300,000, 400,000, 500,000, 600,000. Also, f(x) (b) What is the probability Spectrum will obtain more than 400,000 new subscribers? (c) What is the probability Spectrum will obtain fewer than 200,000 new subscribers?
Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
Suppose you called your local pharmacy to refill a prescription and are put on hold. Assume that the amount of time you will spend on hold is somewhere between 0 and 13 minutes and it follows a uniform distribution. What is the probability you will be on hold for exactly 8 minutes?
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6. A study was conducted to determine the number of emergency calls per day received by the Conestoga Valley Fire Company. The data are shown here: # of phone calls Frequency 5 7 8 28 32 21 10 (a) Construct a probability distribution for the number of phone calls. (b) Find the mean number of phone calls, rounded to the nearest tenth.

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