A motorcycle drives from Buendia to Quiapo and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by 1 2 4 0.01 0.01 0.03 0.08 0.15 0.07 0.01 0.03 0.05 0.03 0.02 0.03 0.11 0.01 0.01 0.02 0.07 0.1 0.03 0.01 0.01 0.06 0.03 0.01 0.01 (g) Give the standard deviation of Y. Answer

Question
A motorcycle drives from Buendia to Quiapo and back using the same course everyday. There are four stoplights on the course.
Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by
1
2
4
0.01
0.01
0.03
0.08
0.15
0.07
0.01
0.03
0.05
0.03
0.02
0.03
0.11
0.01
0.01
0.02
0.07
0.1
0.03
0.01
0.01
0.06
0.03
0.01
0.01
(g) Give the standard deviation of Y. Answer
Expand
Transcribed Image Text

A motorcycle drives from Buendia to Quiapo and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by 1 2 4 0.01 0.01 0.03 0.08 0.15 0.07 0.01 0.03 0.05 0.03 0.02 0.03 0.11 0.01 0.01 0.02 0.07 0.1 0.03 0.01 0.01 0.06 0.03 0.01 0.01 (g) Give the standard deviation of Y. Answer

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 data set about speed dating includes​ "like" ratings of male dates made by the female dates. The s...

A: Click to see the answer

Q: 8. Assume that the total score (from both teams) for college football games averages µ = 42 points p...

A: It is given that the mean is 42 and the standard deviation is 20.

Q: The standard error used in calculating a 95% confidence interval for the difference in the average s...

A: Click to see the answer

Q: A sample of 19 account balances of a credit company showed a mean customer balance of $4,350, but th...

A: Click to see the answer

Q: μ=70σ=5X = 74Z = 0.8 Based on the the z table, what percentage of people might start to show signs o...

A: Given, μ=70σ=5X=74z=0.8

Q: The pulse rates of 171 randomly selected adult males vary from a low of 42 bpm to a high of 106 bpm....

A: Given: Lowest value = 42 Highest value = 106 E = 4 The range can be calculated as: Range = Highest v...

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 a...

A: Given that, The systolic blood pressure of adults in the USA is nearly normally distributed with a m...

Q: I Rolled ten dice ten times. I added the faces and divided by ten to find the means: 3.7 4.3 3.4 3.9...

A: Given :The  10 dice is rolled 10 times. the following is the means :3.7 4.3 3.4 3.9 3.9 3.1 3.4 4.4 ...

Q: If np≥5 and nq≥5​,estimate P(fewer than 5) with n=14 and p=0.6by using the normal distribution as an...

A: Givenn =14, p=0.6 np=14*0.6=8.4nq=n(1-p)=14*(1-0.6)=14*0.4=5.6 np and nq values are both greater tha...

Q: Please see attached mathematical statistics question below. for part(a) How to Identify the test sta...

A: (a). Identify the test statistics and the critical region: The investigator is specially interested ...

Q: The GMAC Insurance company reported that the mean score on the National Drivers Test was 83.6 with a...

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: Which interpretation is correct? O u1 is substantially greater than µ2, therefore the average sedime...

A: A confidence interval estimate is an interval estimate that includes the unknown population paramete...

Q: 11.6.85         Of the 40 plays attributed to a​ playwright, 13 are​ comedies, 17 are​ trage...

A: Click to see the answer

Q: For a population with μ =100 and σ = 20, what is the X value corresponding to z = -0.50?

A: Click to see the answer

Q: In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a ...

A: It is given that the mean is 69.9 and the standard deviation is 3.0.

Q: given that the random variable X is normally distributed with a mean of 80 and a standard deviation ...

A: Given: Meanμ=80Standard Deviationσ=10

Q: Identify the type of sampling technique in the situations described below: The name of each contesta...

A: 1. Simple Random Sampling Technique: This is a simple random sampling technique as each contestant h...

Q: The following sample data are from a normal population:    Sample size (n) = 25, Sample mean=14, Sam...

A: Obtain the margin of error for the estimation of the population mean.   The margin of error for the ...

Q: The foreman at a large plant estimates that there are defective parts about 1% of the time.  If the ...

A: It is given that n =20,000 and p = 0.01.

Q: IQ scores are normally distributed with a mean of 100 and standard deviation of 15 find the probabil...

A:   Obtain the probability of having an IQ between 130 and 150. The probability of having an IQ betwee...

Q: A motoryde dives from Buenda to Quapo and back using the same course everyday. There are four stoplg...

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

Q: 11.6.35    Question Help     The mathematics department of a college has 14 male​ professors...

A: The mathematics department of a college has 14 male​ professors 14 female​ professors 6 male teachin...

Q: In a study of smokers who tried to quit smoking with nicotine patch therapy, 39 were smoking after t...

A: Given Information: The number of smokers who tried to quit smoking with nicotine patch therapy, star...

Q: The mean is 15.2 and the standard deviation is 0.9. find the probability that X is greater than 17.

A: Click to see the answer

Q: Express the confidence interval (0.050,0.112)in the form of p−E<p<p+E.

A: From the given information, the confidence interval is (0.050, 0.112) p = (Upper bound + lower bound...

Q: Please answer question 4, thank you. The probability of winning at the board game Monopoly is 32.5% ...

A: The probability of winning the board game Monopoly is 32.5% if you move first. The proportion for 10...

Q: Suppose that a recent poll of american households about car ownership found that for households with...

A: Given information- Percentage of household owned a sedan = 39% Percentage of household owned a Van =...

Q: The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters ar...

A: Null and alternative hypotheses: Let σ is the standard deviation of sheath thickness. Null hypothesi...

Q: Answer the following question. Use a calculator if needed.

A: Given :                            For small bottles Mean(μ)=338,standard deviation σ=3             ...

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots ...

A: Draw the normal curve and shade the area to the between z=-0.2909 and z=1.9273. The required shaded...

Q: Following are the fuel efficiency, in miles per gallon, for a sample of convertibles. Calculate the ...

A: Here, the sample size, n is 5. The mean is calculated below.   x¯=∑i=1nxin=25+26+21+20+215=1135=22.6...

Q: A data set includes data from 500 random tornadoes. The display from technology available below resu...

A: Click to see the answer

Q: On a psychology exam withµ= 76 and o = 12, Tom scored 9 points below the mean, Mary had a score of X...

A: From the provided information, Mean (µ) = 76 Standard deviation (σ) = 12 X~N (76, 12)

Q: Question 2 Assume a respondent's interest of book could be explained by whether this person reads b...

A: We have been given that, Y: respondent’s interests in books X 1 = 1 if the respondent reads books fo...

Q: To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is rep...

A: Click to see the answer

Q: A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be tak...

A: Click to see the answer

Q: Three randomly selected households are surveyed. The numbers of people in the households are 2​, 4​,...

A: Given information Population consists of 3 numbers 2, 4, 9 Proportion of even numbers in the populat...

Q: Please see attached mathematical statistics question below. part(c) How to determine Compute the p-v...

A: Given information- Population mean, θ = 25 Population standard deviation, σ = 4 Sample size, n = 64 ...

Q: Please solve very soon

A: Given information No of questions = 10 Each has 3 possible responses For 10 questions, there are 3 x...

Q: A developmental psychologist is examining the development of language skills from age 2 to age 4. Th...

A: Given : Total number of groups, k = 3 with 18 children in each group, Total children = 18×3 = 54 SS ...

Q: Use technology to find the​ P-value for the hypothesis test described below. The claim is that for a...

A: Given information Hypothesis Null Hypothesis:- H0: µ= 14 mbps Alternative Hypothesis: - i.e. H1: µ1≠...

Q: 7. A distribution with u = 35 and s = 8 is being standardized so that the new mean and standard devi...

A: Here, given X~N( 35,82) X~N(35,82)⇒Z=X-358~N(0,1)And, Y=50+10Z~N(50,102)

Q: 11.6.33    Question Help     It is equally probable that the pointer on the spinner show...

A: Probability denotes the chances of occurring an event. It lies between zero and 1. Here it is given ...

Q: The length of a fully grown hibiscus plant has a mean 35cm. It is found that 5% of these plants are ...

A: (i) Obtain the value of the standard deviation. The value of the standard deviation is obtained belo...

Q: 3. Without some correction, sample variability is said to be "biased." Define the term biased, and e...

A: Here is the explanation for this is as follows; Biased : It is estimate for the over or under estima...