n the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below.                   x 0 1 2 3 4 5 Total P(x) .09 .32 .27 .17 .11 .04 1.00     (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.)          Mean     Standard deviation

Question

On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below.
 

               
x 0 1 2 3 4 5 Total
P(x) .09 .32 .27 .17 .11 .04 1.00
 

 
(a)
 Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.)

 

      
Mean    
Standard deviation    
 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: A random sample of 40 collision claims of 30- to 59-year-old drivers results in a mean claim of $366...

A: From the provided information,

Q: Hi,  Can i get some assistance with the calculations and explanations of the question in the picture...

A: Exponential distribution

Q: Marivic is interested in the effect of playing puzzle games on academic achievement. She devised a s...

A: The correlation coefficient is 0.40.

Q: You might think that if you looked at the first digit in randomly selected numbers that the distribu...

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we ar...

Q: In a survey it was found out that 60 out of 170 females and 32 out of 128 males preferred a certain ...

A: The test hypotheses are: Null hypothesis: H0: p1 = p2, that is, there is no sex difference in the pr...

Q: UPS currently believes that it achieves a 96 % on-time performance for its customers. A random sampl...

A: Click to see the answer

Q: A university has decided to introduce the use of plus and minus grading as long as there is evidence...

A: Solution: Let p be the population proportion. The given claim is that the proportion is greater than...

Q: The accompanying table shows results of challenged referee calls in a major tennis tournament. Use a...

A: State the hypotheses. Null hypothesis: Alternative hypothesis: Correct option: Option A

Q: Annual expenditures for prescription drugs was $838 per person in the Northeast of the country. A sa...

A: State the given values. State the Null and alternate hypothesis. The null hypothesis states that th...

Q: For the specified margin of error and confidence​ level, obtain a sample size that will ensure a mar...

A: From the provided information, Margin of error (E) = 0.05 Confidence level = 95%

Q: The following information is obtained for a sample of 25 observations taken from a population. SS = ...

A: Hii ! Thanks for posting the question . Since your question has more than three subparts , we have s...

Q: A leading magazine (like Barron's) reported at one time that the average number of weeks an individu...

A: Let x denote the length of unemployment is normally distributed with population mean of 29 weeks and...

Q: In your chosen field, when might you want to know the mean differences between two or more groups? P...

A: HYPOTHESIS TESTING To test the two mutually exclusive statement follow the hypothesis testing for as...

Q: I dont knowhow to do. this

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: This week the number X of claims coming ir nsurance office is Poisson with mean 100 probability that...

A: X follows a Poisson distribution with a mean of 100 E(x)=λ=100 X~P(λ) and Y|X follows a binomial dis...

Q: Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 9...

A: Z=x - μσ~ N(0,1)

Q: In a sample of 50 electric motors, the average efficiency (in percent) was 85 and the standard devia...

A: To find the confidence interval for population mean, we use either the Z interval or t interval. If ...

Q: Two crossing, non-parallel lines in a graph pertaining to separate factors (i.e., A & B) in a tw...

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want a...

Q: please help with: d, e ,f, g, h

A: (a)   Determine the type of study.   The type of study used t-test for a population mean.   (b)   St...

Q: The average price of a college math textbook Is $172 and the stand is $25. Suppose that are randomly...

A: Given Information: The average price of a college math textbook Is $172 and the stand is $25 μ=172 a...

Q: A group of 44 people were randomized into two equal-sized groups (22 in each). The treatment group a...

A: Click to see the answer

Q: In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In...

A: Given, 54% of companies outsourced some parts. Suppose 659 these are contacted. This follows binomia...

Q: Construct a histogram: Mid point Frequency 9.5 1 9.8 4 10.1 24 10.4 67...

A: Data set is given as: Mid point Frequency 9.5 1 9.8 4 10.1 24 10.4 67 ...

Q: 2. How do you identify which variable in a study is the factor?  How do you identify the levels of a...

A: Design of Experiments (DOE) is a study of the factors that the team has determined are the key proce...

Q: Teenagers' use of emoticons in school writing. Refer to the Pew Internet and American Life Project (...

A: Solution: Out of a 700 teenagers, 448 admitted to using at least one informal element in school writ...

Q: Increasing numbers of businesses are offering child-care benefits for their workers. However, one un...

A: Given claim: "more than 80% of firms in the manufacturing sector still do not offer any childcare be...

Q: A coin is weighted such that a tail is 10 times as likely as a head. Thiscoin is tossed repeatedly u...

A: Considering one single trial, the probability of getting a head or tail will be 1. PH+PT=1 It is giv...

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support...

A: Solution: From the given information, confidence level is 0.95 and E=0.025.

Q: In examining the invoices issued by a company, an auditor finds that the dollar amounts of invoices ...

A: Click to see the answer

Q: The average price of a college math textbook is $173 and the standard deviation is $30. Suppose that...

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we ar...

Q: First square options are "less than, less than or equal to, greater than, greater than or equal to, ...

A: Consider that μ defines the population mean monthly mileage.

Q: done on proctored and nonproctored tests. The results are shown in the table. Assume that the two sa...

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a ti...

Q: The table below shows the scores of a group of students on a 10-point quiz. Test Score Frequency ...

A: Click to see the answer

Q: Sketch the area under the stndard normal curve over the indicated interval and find the specified ar...

A: Solution: The probability under the standard normal curve to the left of z < 0.41 is: P(Z<0.41...

Q: Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. ...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation...

A: Given information Margin of error = 2.2% Proportion of people who like dark chocolate p = 32% Popula...

Q: John Believes that 50% of first-time brides in US are younger than than their grooms. He performs a ...

A: State the hypotheses. That is, there is no evidence to conclude that percentage is the different fr...

Q: Recently, a random sample of 25–34 year olds was​ asked, "How much do you currently have in​ savings...

A: Class Interval Frequency(f) Midpoint (x) f.x fx2 0-199 342 (0+199)/2= 99.5 34029 3385885.5 200-3...

Q: The management of a department store is interested in estimating the difference between the mean cre...

A: The level of significance is 0.05 (=1-0.95).

Q: A leading magazine (like Barron's) reported at one time that the average number of weeks an individu...

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to ou...

Q: eBook How large a sample should be selected to provide a 95% confidence interval with a margin of er...

A: 1] standard deviation =σ=30 2] margin of error=E=2 3] we use 95% confidence interval  

Q: The city of Raleigh has 7,200 registered voters. There are two candidates for city council in an upc...

A: Given information- Size of the population, N = 7200 Sample size, n = 200 We have given that out of 2...

Q: The owner of a computer repair shop has determined that their daily revenue has mean $7200 and stand...

A: Let X be the daily revenue X has mean μ = $7200 and standard deviation σ = $1200 Sample size n = 30 ...

Q: The medical records of infants delivered at the Kaiser Memorial Hospital show that the infants' leng...

A: Click to see the answer

Q: Carpetland salespersons average $9,000 per week in sales. Steve Contois, the firm's vice president, ...

A: Click to see the answer

Q: Consider the following hypothesis test. Ho:H = 15 H:u # 15 A sample of 50 provided a sample mean of ...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: Acme Trucking claims the average hourly salary of its mechanics is $9.25, with a standard deviation ...

A: Null Hypothesis: H0:μ≥9.25 Alternative Hypothesis: H1:μ<9.25 Given information: μ=9.25x¯=8.95σ=1....

Q: Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Us...

A: First we have sorted the data in ascending order along with their corresponding index i  i observ...