Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 7.6 minutes and a standard deviation of 2.3 minutes. For a randomly received emergency call, find the following probabilities. (Round your answers to four decimal places.) (a) the response time is between 3 and 9 minutes(b) the response time is less than 3 minutes(c) the response time is more than 9 minutes

Question

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 7.6 minutes and a standard deviation of 2.3 minutes. For a randomly received emergency call, find the following probabilities. (Round your answers to four decimal places.)

(a) the response time is between 3 and 9 minutes


(b) the response time is less than 3 minutes


(c) the response time is more than 9 minutes

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
Probability

Related Probability Q&A

Find answers to questions asked by students like you.

Q: Determine the point estimate of the population mean and margin of error for the confidence interval ...

A: From the provided information, the point estimate of the population mean can be calculated as:

Q: At a certain discount store the number of people in checkout lines varies.  the probability model fo...

A: (a)    We need to fill in the blank in the table to complete the table as a probability model.      ...

Q: 1. Zip Codes How many 5-digit zip codes are possible if digits can be repeated? If there cannot be r...

A: From given information,Let the sample be –Sample = {0,1,2,3,4,5,6,7,8,9}Five digits code can be foun...

Q: Let Z be a standard normal random variable. Use Appendix Table A.1 from the textbook to find the num...

A: a) By using Z-table, the given probability can be calculated as:

Q: A recent survey found that 86% of first-year college students were involved in volunteer work at lea...

A: The provided information are:Proportion of first-year college students were involved in volunteer wo...

Q: in the context of these data? 5.24 Protecting the environment When the General Social Survey most re...

A: Given Data

Q: Phil Dunphy, a real estate agent, is considering whether he should list an unusual $372,875 house fo...

A: Expected value:The expected value of a random variable is the sum of the possible values that the ra...

Q: Suppose that 9 female and 4 male applicants have been successfully screened for 6 positions. In how ...

A: NoteHello there! there are more than three subparts in the question. According to our policies we ca...

Q: An Undergraduate Study Committee of 6 members at a major university is to be formed from a pool of f...

A: Hypergeometric distribution:A random variable x is said to follow a Hypergeometric distribution, if ...

Q: I need an easy to understand solution with a thorough explanation. I have no good background in prob...

A: Find the condition expectation

Q: Identify the type of hypothesis test below.H0:X≤16.9, Ha:X>16.9

A: Solution:From the given information, the null and alternative hypothesis are given below:Null hypoth...

Q: Let P(E)=0.3, P(F/E)=0.4, P(F'/E')=0.1. Find a) P(F/E') b) P(E intersects F) c) P(F')  I couldnt fin...

A: Form the given information,

Q: You draw two cards from a standard deck of 52 cards without replacing the first one before drawing t...

A: (a) From the given information, two cards are selected from the deck of 52 cards without replacing t...

Q: A contractor has six styles of homes, each with six styles of garages, three styles of decks, and si...

A: The different possible homes are calculated below: From the given information, the contractor has si...

Q: Two fair distinct dice are tossed. What is the probability of getting a 6 or a 7 in a toss of two di...

A: Note:Hi there! Thank you for posting the question. Since getting a 7 in a toss is impossible, we ass...

Q: A raffle ticket costs $5.  First and second prize winners will be drawn at random.  The probability ...

A: Let us assume 40 tickets sold, amount of one first prize is $100 and two second prize is $25. And 40...

Q: A national park is famous for its beautiful desert landscape and its many natural rock formations. T...

A: Given data and calculation is shown in the table

Q: . A 52-card deck contains 13 cards from each of the four suits: clubs, diamonds, hearts, and spades ...

A: There are 52 total number of cards and There are 4 suits (Clubs, Hearts, Diamonds, and Spades) and t...

Q: How many five​-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: To count the number of 5 digit integers satisfying the given conditions

Q: The weight of topsoil sold in a week is normally distributed with a mean of 2000 tons and a standard...

A: (a)The percentage of weeks will sales exceed 2100 tons is,

Q: A pair of die is rolled and the sum of the numbers is noted. Find the probability that one die resul...

A: Conditional rule:The formula for probability of A given B is,

Q: You have 3 quarters and 4 dimes in your pocket. You draw two out at random. What is the expected val...

A: From the given information, there are 3 quarters and 4 dimes. That is, total number of coins is 7 (=...

Q: A family has three children. Assuming a boy is as likely as a girl, determine the probability of the...

A: To work out the required probabilities by counting

Q: A state makes license plates with three letters followed by three numbers with no repetitions of the...

A: Permutation:It defines the number of possible ways an object can be arranged or ordered. The formula...

Q: 17. Prison Education In a federal prison, inmates can select to complete high school, take college c...

A: Introduction:Probability of an event is the number of outcomes favorable to the event, divided by th...

Q: Exactly one of three contestants will win a game show. The probability that Terry wins is 0.25 and t...

A: We are given that in a game show, exactly one of the three contestants (Terry, Chris and Toni) will ...

Q: Conduct the following test at the a 0.01 level of significance by determining (a) the null and alter...

A: The provided information is as follows:

Q: Consider a series of events. (a) How does a tree diagram help you list all the possible outcomes of ...

A: (a) Tree diagram:Tree diagrams is used to show all the possible outcomes of an event. Each branch in...

Q: A regular poker hand is drawn from a well-shuffled deck of cards. What is the probability that it wi...

A: Solution:From the given information, regular poker hand is drawn from a pack of cards. In drawn card...

Q: Given the following table summarizing the responses of 270 people to toe question 'which evening new...

A: According to the provided data,Total viewers = 270Men = 145Women = 125Consider the events as:A: Watc...

Q: plan own. Find the mean, variance, and standard devia- tion for the distribution. 15. Lottery Prizes...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: 8. A Gallup poll asked each of 1785 randomly selected adults whether she happened to attend a house ...

A: According to the provided data, a sample size, n of 1785 adults is asked about attending house of wo...

Q: A student is taking a multiple-choice quiz. The quiz has 6 questions, and each question has 4 choice...

A: Solution:From the given information, number of quiz questions is 6 and each question has number of c...

Q: thousandth. PP gs. KOuta to the nearest ) The Amboy Kennel Club has held an annual dog show for the ...

A: Given Number of times Alaskan Malmute won Best of show = 21Number of times Great pyrenees won Best o...

Q: The probability of a randomly selected adult in one country being infected with a certain virus is 0...

A: It is provided that the probability, in one country a randomly selected adult being infected with a ...

Q: A financial services committee had 60 members, of which 10 were women. If 9 members are selected at ...

A: a. The probability that 7 men and 2 women are selected is 0.3041 and it is obtained below: From the ...

Q: The annual income of residents in a county is $42,000 with a standard deviation of $10,000.  Under t...

A: From the given information, the distribution of annual incomes is normally distributed with mean $42...

Q: Show that: (a) Cov(X,Y) = E[XY] – E[X]E[Y]. (b) If X and Y are independent, then fY|X(y|x) = fY(y)

A: Solution:a.Show that COV(X,Y)=E(XY)–E(X)E(Y)

Q: M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer A...

A: Given Data

Q: meetgLg M attend meeting together? A student is to answer 8 out of 10 questions on an exam. (a) how ...

A: To calculate the number of choices under the three different conditions

Q: Find fX(x) and fY (y) for each of the following joint pdfs. (a) fX,Y (x, y) = xy, 0 ≤ x ≤ 2, 0 ≤ y ≤...

A: (a)Provided joint pdf of (X, Y) is

Q: Now you will compute some probabilities of events that are unions of intervals inside the sample spa...

A: The length of an interval can be calculated by subtracting both the points of the interval.The lengt...

Q: A Bernoulli process has 4 trials and probability of success 0.31. Find the following probabilities. ...

A: The number of Bernoulli trials, n is 4 and the probability of success, p is 0.31.1.The number of fai...

Q: Let Z be a standard normal random variable. For what (approximate) values of z are the following sta...

A: a. The value of z is 0.8416 and it is obtained below:

Q: Evaluate the linear equation, y=4x−7, at the value x=2.   y= _____

A: Regression analysis:Regression analysis estimates the relationship among variables. That is, it esti...

Q: Step 1: License plates in Florida have the form A12BCD, that is, a letter followed by two digits fol...

A: Form of License plates A12BCD Total alphabetical letters are 26 A-ZTotal numerical are 0- 9

Q: Involving the rolling of two fair seven-sided dice, nswer the following questions. (1) What is the p...

A: (1) The probability that the sum is 5, given that at least one of the numbers rolled is even is 0.12...

Q: A basketball player makes each​ free-throw with a probability of 0.30 and is on the line for a​ one-...

A: To compute the required probabilities

Q: Suppose a radioactive source is metered for 3 hours, during which time the total number of alpha par...

A: The probability exactly four particles will be counted in the next 2 minutes by defining X to be the...