Problem 9You're a healthcare engineering consultant and you're analyzing the emergency room design atPawhuska Hospital, Inc. To understand the service rate of the ER, you must first analyze thearrival of patients, and you begin by studying the overnight arrivals. The probability distributionis shown in the table.a. Plot the probability distribution function of hourly patients arriving to the ER.b. Calculate the mean and standard deviation of the probability distribution of hourly ERarrivals.c. What is the probability that fewer than three patients arrive in an hour?Arrivals to the ER in an hour during the night shiftProbability00.0410.1123 4 50.24 0.32 0.14 0.0860.0270.05

X(Arrivals to the ER in an hour during the night shift) : { 0,1,2,3,4,5,6,7 } Probability (Y): {…

Answered: Problem 9 You're a healthcare…

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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Bill has purchased the insurance policy from an insurance company to cover the value of his new RV in case if it gets totaled for the price of $1300 per year. Bill's RV worth $38000 and the probability of him totaling the RV during the length of the policy is estimated to be 0.1%. Let X be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for X: X outcome profit x ,$ P(X=x) RV is totaled RV is not totaled 2. Use the probability distribution table to find the following: E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Can the following table be a probability distribution?
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $6 each and will sell 900 tickets. There is one $1,000 grand prize, three $500 second prizes, and fifteen $30 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. Question Help: Written Example > Next Question %23 44 F1 19 23 14 F6 F7 F10 %23 24 &. 2 4. 8. 9. Q Y U A S D K Z V M option command .. •- JI B w/
Parts a-d please
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Solve the following problems. 1. A bakeshop owner determines the number of boxes of hopia that are delivered each day. Find the mean of the probability distribution shown. Number of Boxes (X) Probability P (X) 35 0.10 36 0.20 37 0.30 38 0.30 39 0.10 2. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.10, 0.20, 0.15, 0.30 and 0.25, respectively. Find the mean of the probability distribution using the formula. 3. Suppose your wallet contains ten P20 bills, five P50 bills, three P100 bills, one P500 bill, and one P1000 bill. Find the u of this distribution and interpret the result.
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)
DIRECTIONS. Solve for the following. Write your answer on separate sheet of paper. 1. Find the mean or expected value of the following probability distribution. 1 2 3 4 P(x) 0.11 0.22 0.33 0.25 0.09
Norman is a student at a college in Durban. The amount of time, in minutes, that Norman walks to the college for his final examinations is constantly distributed between 15 to 40 minutes, inclusive. Use this information to answer the following questions.1. Name the continuous probability distribution described above. Explain in detail why it is called the distribution of little information. 2. Calculate the probability that the student will take between 28 and 38 minutes. Provide interpretation for your answer. 3. Find the probability that the student will take no more than 30 minutes to arrive at the college. Provide interpretation for your answer.4. Compute the probability that Norman will take least 35 minutes to get to the college. Provide interpretation for your answer.5. Calculate the mean, variance and the standard deviation of the distribution described
Please help I do not understand.

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