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0 Question 17 v The random variable is two more than the numtler'g/f 2'5 facing on the dice. You roll three colored dice: Give the random variable. 11V. : > Next Question 0 Question 10 v In a midAsize company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 50 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 43 and 57? Do not enter the percent symbol. ans = % > Next Question 0 Question 15 v Next Question Question 7 For families with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2603 2 0.1397 3 0.2305 4 0.2081 5 0. 1614 yes O no > Next Question0 Question 3 v A set of test scores are normally distributed with a mean of 73,4 and a standard deviation of 12.1 points. If the scores in the eighth percentile and below will receive an F, what test score will determine the boundary of the F grades? Round your answer to the nearest tenth. > Next Question 0 Question 13 v R Suppose that the value of a stock varies each day from $9.82 to $18.17 with a uniform distribution. Find the third quartile; 75% of all days the stock is below what value? (Enter your answer to the nearest centJ S > Next Question Question 20 For the continuous distribution below, what does the shaded area represent? K X 0 4 5 6 7 8 9 10 OP (X > 0) OP (6 7)0 Question 14 v May? u incnn 0 Question 16 v 3): 0 Question 18 v Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random, with replacement. Define the random variable X as the number of defective cameras in the sample. Write the probability distribution for X. F k P(X = k) l t' *'i l i il l What is the expected value of X? > Next Question 0 Question 4 v The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 62 ounces and a standard deviation of 11 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between ' Sand b) What percentage of the widget weights lie between 40 and 73 ounces? '% c) What percentage of the widget weights lie below 95 .7\" % > Next Question 0 Question 5 v ight measurements of ten-year-old children are In the country of United States of Heightlandia, the he 3 inches, and standard deviation of 7.3 inches. approximately normally distributed with a mean of 56. What is the probability that the height of a randomly chosen child is between 69.15 and 74.55 inches? Do not round until you get your your final answer, and then round to 3 decimal places. Answer: (Round your answer to 3 decimal places.) > Next Question 100 points possible 0 Question 8 v A baseball player has a batting average of 0.28. What is the probability that he has exactly 7 hits in his next 7 at bats? The probability is > Next Question Unit 2 Test 100 points possible 0 Question 12 v A normal distribution has a mean of 87 and a standard deviation of 7. Find the z-score for a data value of 98. Round to two decimal places > Next Question 0 Question 11 v A poll is given, showing 75% are in favor of a new building project. If 9 people are chosen at random, what is the probability that exactly 1 of them favor the new building project? > Next Question 0 Question 19 v x P(x) 0 0.15 1 0.3 k 2 0.3 3 0.25 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places > Next Question 0 Question 6 v A manufacturer knows that their items have a normally distributed length, with a mean of 9.1 inches, and standard deviation of 0.5 inches. If one item is chosen at random, what is the probability that it is less than 7.8 inches long? > Next Question 0 Question 9 v The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 14 minutes. What is the probability that washing dishes tonight will take me between 11 and 12 minutes? Give your answer accurate to two decimal places. > Next Question 0 Question 3 v A set of test scores are normally distributed with a mean of 73,4 and a standard deviation of 12.1 points. If the scores in the eighth percentile and below will receive an F, what test score will determine the boundary of the F grades? Round your answer to the nearest tenth. > Next