This week the number X of claims coming ir nsurance office is Poisson with mean 100 probability that any particular claim relat utomobile insurance is .6, independent o other claim. If Y is the number of autom laims, then Y is binomial with X trials, vith "success" probability .6. . Determine E(YIX = x) and V(YIX = x). . Use part (a) to find E(Y). . Use part (a) to find V(Y).

Question
This week the number X of claims coming ir
nsurance office is Poisson with mean 100
probability that any particular claim relat
utomobile insurance is .6, independent o
other claim. If Y is the number of autom
laims, then Y is binomial with X trials,
vith "success" probability .6.
. Determine E(YIX = x) and V(YIX = x).
. Use part (a) to find E(Y).
. Use part (a) to find V(Y).
Expand
Transcribed Image Text

This week the number X of claims coming ir nsurance office is Poisson with mean 100 probability that any particular claim relat utomobile insurance is .6, independent o other claim. If Y is the number of autom laims, then Y is binomial with X trials, vith "success" probability .6. . Determine E(YIX = x) and V(YIX = x). . Use part (a) to find E(Y). . Use part (a) to find V(Y).

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: According to the U.S. Census​ Bureau, the mean of the commute time to work for a resident of New Orl...

A: Mean = 25.8 Standard deviation = 4.8

Q: 1. A student decided to enroll in a reading course that allegedly increases reading speed & comp...

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

Q: You may need to use the appropriate appendix table to answer this question. Read the z statistic fro...

A: Given that, One-tailed test (lower tail) α=0.0885

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop ...

A:   (1)   Determine the distribution of X.   The distribution of X is obtained below as follows:

Q: The researchers from a study interviewed two random samples, one in 2015 and one in 2018. Both sampl...

A: Read a print book 2015 2018 total Yes 1195 1372 2567 No 726 605 1331 total 1921 1977  

Q: (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and eight of th...

A: Given :                Number of lottery balls  =40Number of balls drawn =8Win payout = $ 1,000,000T...

Q: Show work please In a sample of 390 people attending a concert, 60% stated that the venue was a good...

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

Q: In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found t...

A: Given, In a study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found tha...

Q: A random sample of 36 students selected from the student body of a large university had an average a...

A: Following information is given: sample size = 36 students sample mean = 21 years sample standard dev...

Q: What price do farmers get for their watermelon crops? In the third week of July, a random sample of ...

A: Givenn=44x¯=6.88 per 100 poundsσ=1.92 per 100 pounds  

Q: The structure of a two-factor study can be presented as a matrix with the levels of one factordeterm...

A: We are testing three null hypothesis: There is no difference in the means of factor A (H0: μA1=μA2=...

Q: I am having trouble solving this problem.  Can you please provide me with some help?  Thank you.  I ...

A: Given: Program A is taken as group 1. Program B is taken as group  2. n1=30x¯1=15.2s1=4.9n2=25x¯2=12...

Q: A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and...

A: Let us first test whether “the data indicate that the die is unbalanced”, using a Chi-square test of...

Q: (a) Describe all the requirements of a design for performing the one-way between-subjects ANOVA. (b)...

A: One - Way ANOVA :  The one-way analysis of variance (ANOVA) is used to determine whether there are a...

Q: According to a reputable magazine, 35% of people in a certain large country have sleepwalked at leas...

A: Click to see the answer

Q: A genetic experiment with peas resulted in one sample of offspring that consisted of 445 green peas ...

A: From the provided information, Total green peas = 445 Total yellow peas = 167 Total peas (n) = 445 +...

Q: Suppose a life insurance company sells a ​$290,000 ​1-year term life insurance policy to a 20​-year-...

A: Given that :  A life insurance company sells a $290,000 1 -year term life insurance policy to a 20 -...

Q: Let x be a random variable that represents the percentage of successful free throws a professional b...

A: (d) Obtain the value of b(slope) The value of slope is obtained below as follows: From the informati...

Q: The test statistic in a​ right-tailed test is z=2.15. Determine the​ P-value and decide​ whether, at...

A: Solution: From the given information, the test statistic is z=2.15 and the test is right-tailed.

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: A set of data has a normal distribution with a population mean of 167.5 and population standard devi...

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean ...

Q: Minnesota had the highest turnout rate of any state for the 2016 presidential election. Political an...

A: (a) State the hypotheses. That is, there is no evidence to conclude that registered voters in rural...

Q: You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it se...

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

Q: Show work please    If SAT scores are normally distributed with a mean of 500 and a standard deviati...

A: Given that  μ=500σ=100 Let a be the minimum score is needed to ensure that you are in the top 7%. Th...

Q: Show work please thank you :) The mean rate for cable with internet from a sample of households was ...

A: Click to see the answer

Q: Consider the following hypothesis test. Ho: µ = 100 H: µ ± 100 A sample of 65 is used. Identify the ...

A: Click to see the answer

Q: In the past, 74% of the tourists who visited Chattanooga went to see Rock City. The management of Ro...

A: Click to see the answer

Q: Find the y-intercept b for the least-squares regression line. x y 7 15 10 16 15 25 18 32

A: Calculate the mean of Y and X where n = 4.

Q: A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements a...

A: Given Information :  A study was conducted to measure the effectiveness of hypnotism in reducing pai...

Q: Show work please. Thank you.  A hypothesis test to test the claim about a population mean in which t...

A: The degrees of freedom is, df=n-1=14-1=13 The degrees of freedom is 13. The significance level is 0....

Q: Suppose that the average number of Facebook friends users have is normally distributed with a mean o...

A: Mean of the sampling distribution of the sample mean is, Thus, the Mean of the sampling distributio...

Q: ​(a) Determine the critical​ value(s) for a​ right-tailed test of a population mean at the α=0.05 le...

A: a) Given information- We have given a right-tailed test of a population mean. Significance level, α ...

Q: I'm having a hard time understanding how to solve this question. I think the distribution is suppose...

A: Here T- distribution is applicable as Population standard dev is unknown

Q: When the p-value is used for hypothesis testing, the null hypothesis is rejected if a O p-value = 1 ...

A: Given that the p-value is used for hypothesis testing.

Q: The manager of a computer retails store is concerned that his suppliers have been giving him laptop ...

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want solution...

Q: 3) 15 % of the area under the normal curve is between p - 20 and p + 20. ( Round to four decimal pla...

A: Click to see the answer

Q: A study by researchers at a university addressed the question of whether the mean body temperature o...

A: From the given information, the claim of the problem is, "whether the mean body temperature of healt...

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: 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: The manufacturer of hardness testing equipment uses​ steel-ball indenters to penetrate metal that is...

A: Solution: From the given information, the pair of observations are 9, confidence level is 95%, CI=d¯...

Q: A company wants to estimate the mean time (in hours) per week for an adult who uses computers at hom...

A: Click to see the answer

Q: We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers be...

A: Click to see the answer

Q: 20)A researcher conducts an independent-measures, two-factor study using a separate sample of n= 15 ...

A: A researcher conducts an experiment, 2 factor study with n=15 participants at each treatments condit...

Q: A poll found that82​%of a random sample of 1093adults said that they believe in ghosts. a. Determi...

A: a) Given that n=1093p^=82%=0.82Confidence level=99%=0.99Significance level=0.01 The z critical value...

Q: What is the purpose of chi-square distributions?

A: Chi-square distribution: Chi square distribution with n degrees of freedom is distribution of sum of...

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...

A: we are suppose to answer three sub parts .

Q: please answer the highlited portion.  Thanks

A: Confidence Interval : A random sample from a population is taken to study the characteristics of pop...

Q: A police department released the numbers of calls for the different days of the week during the mont...

A: As we are authorized to answer only 3 subparts for each question and that you haven't specified whic...