X 3 4 5 6 7 8 9 10 P(X) 0.1 0.23 0.43 0.15 0.03 0.03 0.02 ? (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = (c) What is the probability that a unit chosen at random is not a 10-room unit? P(X # 10) = (d) What is the probability that a unit chosen at random has three rooms? P(X = 3) = (e) What is the probability that a unit chosen at random has more than 5 rooms? P(X > 5) = ⠀ ⠀ ⠀ T

The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is about

he home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a)  Use a calculator with mean and standard deviation keys to find  and s (in percentages). (For each answer, enter a number. Round your answers to two decimal places.) = x bar =____________  %s =___________________  % (b)  Compute a 90% confidence interval (in percentages) for the population mean μ of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (For each answer, enter a number. Round your answers to two decimal places.)lower limit  ____________    %upper limit ____________      % (c)  Compute a 99% confidence…

What is the test​ statistic?