Statistics and Probability Answers

insurance company did study of car damages. mean of the normal distribution is $4500. standard deviation of the normal distribution is $1500. 100 samples are taken

1) describe the sampling distribution of the mean claim amount for the random sample of 100 claims. include sample statistics of interest
2) find probability that the mean claim amount for the sample of 100 claims is between $4200 and $4600
3) probability it is less than $4000
4)probability it is less than $7000
5) probability it is between $7000 and $7500

please give me a quote as I need this by Monday 12-10

joe bianchini

r = 0.931

coefficient of determination =0.867

regression line: y = 38535x - 35219

standard error of estimate: 196.1 pounds

Is there significant correlation between specific gravity of the potatoes and the pounds of chips?

Two marbles are drawn on succession from a box contataing 10red, 30white, 20blue & 15 orange marbles with replacement being made after each drawing. Find the probability that
1.both are white
2.first is red & second is white

A husband and wife have three children. The outcome of the first child being a boy, the second a girl, and the third a girl can be represented by BGG. Determine each of the following:

a)sample space that describes all the orders of the possible genders of the children
b)the event that at least one child is a girl
c)the event that at least one child is boy
d)is the event in part (C) the complement of the event in part ((b)?

the probability that a student of a school owns a car is 1/5, three students were sampled, Find the probability that only one of them owns a car?

3. A researcher is interested in whether listening to music helps or hinders test-performance. To control for differences in cognitive level, this researcher decides to use a within-participants design. He selects a random sample of participants and has them study different material of equal difficulty in both the music and no music conditions. Participants take a 20-item quiz on the material. The table below shows the scores on the quiz. The study is completely counterbalanced to control for order effects. The scores obtained are measured on an interval-ratio scale and are normally distributed.
Music No Music
17 17
16 18
15 17
16 17
18 19
18 18

e. Conduct the appropriate analysis. Should H0 be rejected? What should the researcher conclude?

Consider the probability experiment of a sequence of independent trials (number of trials n=11), each trial is the rolling of a pair of 6-sided dice. suppose a random event A is the sum of the roll is an odd number and a random variable represents the number of successes that occur in the n trials. Find the probability of the success for a single trial, find the probability mass function Pn(m), m=1,n, find the mathematical expectation and variance of the random variable

A customer service manager of State Electric Co. monitors operators taking orders by phone. The average time for a phone call, in seconds, is used as one summary of the activity for the shift. The average times, for 15 persons, are

195 223 220 237 271 239 285 262
226 269 179 214 186 208 189

a. Stating any assumption(s) you make, obtain 95% confidence interval for the population mean.

b. Test H_o: μ=207 versus H_1: μ ≠207 with α=0.05. What assumption(s) must you make to carry out this test? Determine the p-value and comment on its size.

what are the steps to solving a simulations problem using excel?

Create a fully labeled tree diagram that represents the outcomes in a best of five (or seven) series for two professional sports teams.

Your tree diagram should realistic probabilities based on historical statistics relating to the teams current performance. You must explain how you determined the various probabilities along each branch of the tree.

Determine the probability of each of the following:
A) your team winning the series in exactly 3 games
B) your team winning the series in exactly 4 games
C) your team winning the series in exactly 5 games
D) your team winning the series ( in any number of games )