Probability, Normal and Poisson Distributions, Mean and Standard Deviations
(31) The sales records of a real estate agency show the following sales over the past 200 days:
Number of Number
Houses Sold of Days
0 60
1 80
2 40
3 16
4 4
What is the probability of selling at least 2 houses over the past 200 days?
a. .10
b. .20
c. .30
d. .70
e. .90 ____________
(32) Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the probability that a motorist will have an accident during the weekend and file a claim is 0.0005. Suppose they wrote 400 policies for the coming weekend. What is the probability that more than one claim will be filed?
a. 0.8187
b. 0.1637
c. 0.0176
d. 0.0160
e. None of the above ____________
(33) The production department has installed a new spray gun to paint automobile doors. As common with most spray guns, unsightly blemishes often appear because of improper mixture or other problems. The average number of blemishes is 0.5 per door. If the distribution of blemishes follows a Poisson distribution, out of 10,000 doors painted, about how many would have no blemishes?
a. About 7,093
b. About 6,065
c. About 3,935
d. About 1,023
e. None of the above ____________
(34) The main computer used by a company for inventory and payroll crashes, on average, once a week. What is the probability that the time between the next two crashes will be less than two weeks?
a. 13.57%
b. 23.33%
c. 77.67%
d. 86.47%
e. None of the above ____________
(35) The mean score of a college entrance test is 500; the standard deviation is 75. The scores are normally distributed. What percent of the students scored below 320?
a. About 12.82%
b. About 4.14%
c. About 1.86%
d. About 0.82%
e. None of the above
(23) A population consists of all defensive tackles on Sociable University's football team. Their weights (in pounds) are as follows: 204; 215; 207; 212; 214 and 208. What is the standard deviation (in pounds)?
a. About 100
b. About 16
c. About 6
d. About 4
e. None of the above (what is the exact answer??)
Solution Summary
Probability, Normal and Poisson Distributions, Mean and Standard Deviations are investigated. The solution is detailed and well presented.
The number of violent crimes committed in a large city follows a Poisson distribution with an average rate of 10 per month.
a. Find the expected number of violent crimes committed in a 3 month period
b. Find the standard deviation of the number of violent crimes committed in a 3 month period
c. Find the probability that at l
Statistics and probability distributions
Include the intermediate steps of your calculation.
Find the following values by using the Poisson tables in Appendix A.
a. P (x = 6lamda = 3.8)
b. P (x > 7lamda = 2.9)
c. P (3 <= x <= 9lamda = 4.2)
d. P (x = 0lamda = 1.9)
e. P (x <= 6lamda = 2.9)
f. P (5 < x <= 8lamda
217 A mechatornic assembly is subjected to a final functional test. Suppose that defects occur at random in these assemblies, and that defects occur according to a Poisson distribution with parameter = 0.02
a) What is the probability that an assembly will have exactly one defect?
b) What is the probability that an assemb
1. Compute the following and show your steps. 3! รท (0!*3!)
2. Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vicepresident and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club memb
1. A city had an average of 2.6 lightning storms per month. What is the probability of at least 3 lightning storms during a month?
A. 12.26%
B. 21.76 %
C. 26.40%
D. 48.16%
E. none of the above
2. If the number of miles per gallon (mpg) achieved by cars of a particular model has a mean of 25 and a standard devia
If Chebychev Inequality gives the lower bound for probability. For the present problem the lower bound for the probability is 0.75 and actual probability is 0.87. There is no contradiction between empirical rule and Chebychev Inequality
Given percentage (87%), does the empirical rule apply?
What does the Empirical Rule s
Examples of the binomial andPoisson distributions are all around us.
 Identify a reallife example or application of either the binomial or poisson distribution.
 Specify how the conditions for that distribution are met.
 Suggest reasonable values for n and p (binomial) or mu (poisson) for your example.

(a) Answer true or false to each of the following statements
(i) Two normal distributions that have the same mean are centered at the same place, regardless of the relationship between their standard deviations.
(ii) Two normal distributions that have the same standard deviation have the same shape, regardless of the relatio