2. Given the following probability table for grades on the Trigonometry test. Scores # of Students Probability <50% 8 0.064 51-60% 11 0.088 61-70% 22 Find the probability that students received 61 - 70%. Find the probability that students received 71-90%. Find the probability that students received 60% or less. 71-80% 37 0.296 81-90% 35 0.280 Find the probability that students received a score other than 91 - 100%. 91-100% 12 0.096

Independent random samples of professional football and basketball players gave the following information. Assume that the weight distributions are mound-shaped and symmetric. Weights (in lb) of pro football players: x₁; n₁ = 21 248 261 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights (in lb) of pro basketball players: x₂; n₂ = 19 205 200 220 210 193 215 223 216 228 207 225 208 195 191 207 196 181 193 201 LUSE SALT (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and 52. (Round your answers to four decimal places.) = 259.7619 $1 = 11.9286 x2 206.0000 $2 = 12.9186 X (b) Let , be the population mean for x₁ and let ₂ be the population mean for X₂. Find a 99% confidence interval for ₁-2₂. (Round your answers to one decimal place.) lower limit 43.1 upper limit 64.4 XX

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