Standard Normal Curve Areas (page 1) The column under A gives the proportion of the area under the entire curve that is between z= 0 and a positive value of z. Z A z 0.00 0.000 0.30 0.01 0.004 0.31 0.02 0.008 0.32 0.126 0.62 0.129 0.63 0.64 0.133 0.137 0.65 0.141 0.245 0.66 0.67 0.249 0.68 0.03 0.012 0.33 0.04 0.016 0.34 0.05 0.020 0.35 0.06 0.024 0.36 0.07 0.028 0.37 0.144 0.08 0.032 0.38 0.148 0.09 0.036 0.39 0.152 0.69 0.10 0.040 0.40 0.11 0.044 0.41 0.12 0.048 0.42 0.13 0.052 0.43 0.14 0.056 0.44 0.15 0.060 0.45 0.064 0.46 0.067 0.47 0.16 0.17 A 0.118 0.122 0.18 0.071 0.19 0.075 Areas under the Normal Curve s 0 2 A z A z 0.226 0.90 0.316 1.20 0.229 0.91 0.319 1.21 0.232 0.92 0.321 1.22 0.236 1.23 1.24 0.393 1.54 0.93 0.324 0.239 0.94 0.326 0.242 0.95 1.55 0.329 1.25 0.394 0.331 1.26 0.334 1.27 0.252 0.98 0.336 1.28 1.29 0.255 0.99 0.258 1.00 1.01 0.344 0.339 0.341 0.261 0.264 1.02 0.346 0.348 0.267 1.03 0.20 0.079 0.21 0.083 0.22 0.087 0.52 0.23 0.091 0.53 0.095 0.24 0.25 0.099 0.26 0.103 0.106 0.57 0.216 0.110 0.58 0.219 0.114 0.59 0.222 Z 0.60 0.61 0.155 0.159 0.163 0.72 0.166 0.73 0.198 0.202 0.70 0.71 0.170 0.174 0.177 0.181 0.48 0.184 0.78 0.282 0.49 0.188 0.79 0.50 0.191 0.80 0.51 0.195 0.81 0.74 0.75 0.76 0.77 0.82 0.83 0.205 0.84 0.54 0.55 0.209 0.212 0.56 0.270 1.04 0.273 1.05 0.96 0.97 0.276 1.06 0.279 1.07 1.08 0.360 1.38 1.09 0.362 1.39 1.10 0.364 1.11 0.367 0.294 1.12 0.297 1.13 0.300 1.14 0.85 0.302 1.15 0.86 0.305 1.16 0.87 0.308 1.17 0.88 0.311 1.18 0.89 0.313 1.19 The column under A gives the proportion of the area under the entire curve that is between z= 0 and a positive value of z. 0.285 0.288 0.291 0.27 0.28 0.29 Standard Normal Curve Areas (page 2) Because the curve is symmetric about 0, the area between z=0 and a negative value of z can be found by using the corresponding positive value of z. 0.351 1.34 0.353 1.35 0.355 1.36 0.358 1.37 Areas under the Normal Curve 1.30 0.403 1.31 0.405 1.32 0.407 1.62 1.33 0.408 1.63 0.410 1.64 0.411 1.65 0.413 1.66 0.415 1.67 A z A 0.385 1.50 0.433 0.387 1.51 0.434 0.389 1.52 0.391 1.53 1.48 1.49 0.396 1.56 0.441 0.398 1.57 0.442 0.400 1.58 0.443 0.401 1.59 0.444 1.60 0.445 1.61 0.446 0.447 0.448 0.449 0.451 1.40 0.419 1.41 0.421 1.71 0.369 1.42 1.72 0.371 1.43 1.73 0.373 1.44 0.425 1.74 0.375 1.45 0.426 1.75 0.377 1.46 0.428 1.76 0.379 1.47 0.429 1.77 0.381 0.383 0.416 1.68 0.418 1.69 1.70 0.422 0.424 0.431 0.432 0.436 0.437 0.438 0.439 1.78 1.79 0.452 0.453 0.454 0.454 0.455 0.456 0.457 0.458 0.459 0.460 0.461 0.462 0.462 0.463 Because the curve is symmetric about 0, the area between z=0 and a negative value of z can be found by using the corresponding positive value of z.

score: 0.35 ol 1 pt mplete) HW Score: 17.957o, 2.35 7.1.31 Question Help Suppose the monthly charges for cell phone plans are normally distributed with mean µ = $56 and standard deviation o= $18. (a) Draw a normal curve with the parameters labeled. (b) Shade the region that represents the proportion of plans that charge less than $38. (c) Suppose the area under the normal curve to the left of X = $38 is 0.1587. Provide an interpretation of this result. X X 20 38 56 20 56 92 38 56 74 56 74 92 (b) Choose the correct graph below. A. O B. OD. 38- 38 X 56 74 92 20 38 56 38 56 74 20 56 92 (c) Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) O A. The probability is 0.1587 that a randomly selected cell phone plan in this population is less than $ per month. O B. The probability is 0.1587 that a randomly selected cell phone plan in this population is more than $ per month.

Answer C-D

Directions: Determine the area under the standard normal curve that lies. 1. between z = 0 and z = 2.47 6. between z = -2.06 and z = -0.54 Area: Area: 2. between z = -1.85 and z 0 7. to the left of z = 1.53 Area: Area: 3. to the right of z = 0.61 8. to the right of z = -1.34 Area: Area: 4. to the left of z = -3.02 9. betweenz = -2.09 and z = 1.72 Area: Area: 10. to the left of z = -1.27 and to the right of z = 2.86 5. between z= 1.11 and z = 2.75 Area: Area: