Question

In: Statistics and Probability

A boxcar contains six complex electronic systems. Two of the six areto be randomly selected for...

A boxcar contains six complex electronic systems. Two of the six areto be randomly selected for thorough testing and then classified as defective or not defective.

(a) Describe the sample spaceSof this experiment and give its cardinality

(b) Explain why this is an equally likely experiment

(c) If two of the six systems are actually defective, find:

(i) the probability that at least one of the two systems tested will be defective

(ii) the probability that both are defective.

Note:Please leave all your answers to this question in combination formula.

Solutions

Expert Solution


Related Solutions

An urn contains six white balls and four black balls. Two balls are randomly selected from...
An urn contains six white balls and four black balls. Two balls are randomly selected from the urn. Let X represent the number of black balls selected. (a) Identify the probability distribution of X. State the values of the parameters corresponding to this distribution. (b) Compute P(X = 0), P(X = 1), and P(X = 2). (c) Consider a game of chance where you randomly select two balls from the urn. You then win $2 for every black ball selected...
an advertising study interviewed six randomly selected people in each of two cities, recording each person's...
an advertising study interviewed six randomly selected people in each of two cities, recording each person's level of preference for a new product: milwaukee green bay 3 4 2 5 1 4 1 3 3 2 2 4 a) is this a paired or unpaired two sample problem? b) find the average preference level for each city. c) find the standard error of the difference between these average preference levels (these are small samples) d) find the 95% two-sided confidence...
An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are randomly selected...
An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are randomly selected simultaneously. (a) What is the sample space? (b) Define an RV X as the number of orange balls selected. Show the map from the sample space to X. (c) Find the PMF of X. (d) Find the CDF of X. i have the solutions can one show how to find the probablity on 4c
The manager of The Cheesecake Factory in Boston reports that on six randomly selected weekdays, the...
The manager of The Cheesecake Factory in Boston reports that on six randomly selected weekdays, the number of customers served was 120, 130, 100, 205, 185, and 220. She believes that the number of customers served on weekdays follows a normal distribution. Construct the lower bound of the 90% confidence interval for the average number of customers served on weekdays. (Round the sample standard deviation to 2 decimal places, the "t" value to 3 decimal places, and the final answer...
A box contains 14 pairs of shoes. If 10 shoes are randomly selected, what is the...
A box contains 14 pairs of shoes. If 10 shoes are randomly selected, what is the probability that there will be exactly one complete pair?
A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the...
A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the price per share of stock on January 1, 2009 and on April 30, 2009. The results are presented below. Suppose the analyst wished to see if the average price per share of stock on April 30, 2009 is less than the average price per share of stock on January 1, 2009 at α=.025. Apr. 30, 2009   33   27   32   25   35   34 Jan. 1,...
Suppose that a delivery truck, while on its route on six randomly selected days, made an...
Suppose that a delivery truck, while on its route on six randomly selected days, made an average of 14 deliveries per day with a standard deviation of 2 deliveries. A second delivery truck, while on another route on seven randomly selected days, made an average of 12 deliveries per day with a standard deviation of 4 deliveries. Can we assert at the level of signifcance a=0.05 that the first delivery truck on its route makes a larger number of deliveries...
A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the...
A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the price per share of stock on January 1, 2009 and on April 30, 2009. The results are presented below. Suppose the analyst wished to see if the average price per share of stock on April 30, 2009 is less than the average price per share of stock on January 1, 2009 at α=.01. Apr. 30, 2009   42   32   34   23   19   18 Jan. 1,...
A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the...
A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the price per share of stock on January 1, 2009 and on April 30, 2009. The results are presented below. Suppose the analyst wished to see if the average price per share of stock on April 30, 2009 is less than the average price per share of stock on January 1, 2009 at α=.025. Apr. 30, 2009 33 27 32 25 35 34 Jan. 1,...
A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the...
A statistical analyst for the Wall Street Journal randomly selected six companies and recorded both the price per share of stock on January 1, 2009 and on April 30, 2009. The results are presented below. Suppose the analyst wished to see if the average price per share of stock on April 30, 2009 is greater than the average price per share of stock on January 1, 2009 at α=.05. Apr. 30, 2009   35   38   26   29   30   34 Jan. 1,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT