Probability and Statistics

8. In Bangladesh, 40% of male smokers smoke cigars. In a randomly selected sample of 20 male smokers, what is the probability that a. (2 mark) exactly 4 of the men smoke cigars? b. (2 marks) at most 3 of the men smoke cigars? c. (2 marks) at least 2 of the men smoke cigars? d. (3 marks) What are the expected value, variance, and standard Deviation of the above random variable?

EXPERT ANSWER Binomial distribution is used when the number of observations n is fixed, each observation is independent and also Each observation has two outcomes either success (p) or failure (q) and the probability of success p is the same for each outcome. Binomial distribution is used when the number of observations n is fixed, …

8. In Bangladesh, 40% of male smokers smoke cigars. In a randomly selected sample of 20 male smokers, what is the probability that a. (2 mark) exactly 4 of the men smoke cigars? b. (2 marks) at most 3 of the men smoke cigars? c. (2 marks) at least 2 of the men smoke cigars? d. (3 marks) What are the expected value, variance, and standard Deviation of the above random variable? Read More »

a. Employ numerical summary measures to characterize the changes in homeownership rates across the country during this period. b. Do the trends appear to be uniform across the U.S. or are they unique to certain regions of

The file P02_51.xlsx contains data on U.S. homeownership rates. a. Employ numerical summary measures to characterize the changes in homeownership rates across the country during this period. b. Do the trends appear to be uniform across the U.S. or are they unique to certain regions of the country? Explain. EXPERT ANSWER a. Considering the problem containing …

a. Employ numerical summary measures to characterize the changes in homeownership rates across the country during this period. b. Do the trends appear to be uniform across the U.S. or are they unique to certain regions of Read More »

each sample of water has a 10% chance of containing a particular organic pollutant. assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, exactly 2 contains the pollutant. (a) P(x

each sample of water has a 10% chance of containing a particular organic pollutant. assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, exactly 2 contains the pollutant. (a) P(x 4) (b) P(x 4) (c) P(3 x 7) EXPERT ANSWER

CBSSports.com developed the Total Player Ratings system to rate players in the National Basketball Association (NBA) based upon various offensive and defensive statistics. The following data show the average number of points scored per game (PPG) for 50 players with the highest ratings for a portion of the 2012–2013 NBA season. (CBSSports.com website, February 25, 2013).

CBSSports.com developed the Total Player Ratings system to rate players in the National Basketball Association (NBA) based upon various offensive and defensive statistics. The following data show the average number of points scored per game (PPG) for 50 players with the highest ratings for a portion of the 2012–2013 NBA season. (CBSSports.com website, February 25, …

CBSSports.com developed the Total Player Ratings system to rate players in the National Basketball Association (NBA) based upon various offensive and defensive statistics. The following data show the average number of points scored per game (PPG) for 50 players with the highest ratings for a portion of the 2012–2013 NBA season. (CBSSports.com website, February 25, 2013). Read More »

The Mendelian theory states that the number of a type of peas that fall into the classifications round and yellow, wrinkled and yellow, round and green, and wrinkled and green should be in the ratio 9:3:3:1. Suppose that 100 such peas revealed 56, 19, 17, and 8 in the respective categories. Are these data consistent with the model? Use α = .05. (The expression 9:3:3:1 means that 9/16 of the peas should be round and yellow, 3/16 should be wrinkled and yellow, etc.)

The Mendelian theory states that the number of a type of peas that fall into the classifications round and yellow, wrinkled and yellow, round and green, and wrinkled and green should be in the ratio 9:3:3:1. Suppose that 100 such peas revealed 56, 19, 17, and 8 in the respective categories. Are these data consistent …

The Mendelian theory states that the number of a type of peas that fall into the classifications round and yellow, wrinkled and yellow, round and green, and wrinkled and green should be in the ratio 9:3:3:1. Suppose that 100 such peas revealed 56, 19, 17, and 8 in the respective categories. Are these data consistent with the model? Use α = .05. (The expression 9:3:3:1 means that 9/16 of the peas should be round and yellow, 3/16 should be wrinkled and yellow, etc.) Read More »

Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.) What is the standard deviation? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.

EXPERT ANSWER Investment in Stock A =0.30 Investment in Stock A =0.40 Investment in Stock C=0.30 Boom E(Rp)= 0.30(0.34) +0.40( 0.44) +0.30(0.35) = 0.102+ 0.176+ 0.105 =0.3830 or 38.30% Good E(Rp)= 0.30(0.18) +0.40( 0.15) +0.30(0.09) = 0.054+ 0.06+ 0.027 = 0.1410 or 14.10% Poor E(Rp)= 0.30(-0.02) +0.40( -0.05) +0.30(-0.04) = -0.006+ -0.02+ -0.01 = -0.0380 …

Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.) What is the standard deviation? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Read More »

A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation s = 25. (a) How large must n be if the length of the 95% CI is to be not greater than 50? (b) How large must n be if the length of the 99% CI is to be not greater than 50?

A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation s = 25. (a) How large must n be if the length of the 95% CI is to be not greater than 50? (b) How large must n be if …

A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation s = 25. (a) How large must n be if the length of the 95% CI is to be not greater than 50? (b) How large must n be if the length of the 99% CI is to be not greater than 50? Read More »

A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation s = 15.

A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation s = 15. (a) How large must n be if the length of the 95% CI is to be not greater than 30? (b) How large must n be if …

A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation s = 15. Read More »