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    Conditional probability

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    A local beer producer sells two types of beer, a regular brand and a light brand with 30% calories. The company's marketing department wants ti verify that its traditional approach of appealing to local white collar workers with light beer commercials and applealing to local blue-collar workers with regular beer commercials is indeed a good strategy. A randomly selected group of 400 local workers are questioned about their beer-drinking preferences, and the data in the file P05_08.xlsx are obtained.
    a. If a blue-collar worker is chosen at random from this group, what is the probability that he or she prefers light beer(to regular beer or no beer at all)?

    b. If a white-collar worker is chosen at random from this group, what is the probability that she or he prefers light beer(to regular beer or no beer at all)?
    Worker Type Preference
    1 B R
    2 W N
    3 W L
    4 B R
    5 B R
    6 B R
    7 B L
    8 B L
    9 B R
    10 B L
    11 B L
    12 B L
    13 W L
    14 B L
    15 W R
    16 B R
    17 B L
    18 W R
    19 B R
    20 W L
    21 B R
    22 W R
    23 B L
    24 B L
    25 B R
    26 B R
    27 B N
    28 W L
    29 B R
    30 W L
    31 W R
    32 B R
    33 B N
    34 B L
    35 B L
    36 W L
    37 B R
    38 W R
    39 B R
    40 B L
    41 B R
    42 B L
    43 W L
    44 B L
    45 W N
    46 W N
    47 W L
    48 B R
    49 B R
    50 B L
    51 W L
    52 B N
    53 B R
    54 W L
    55 B R
    56 W R
    57 W R
    58 B R
    59 W L
    60 B L
    61 W R
    62 B R
    63 B L
    64 W R
    65 B R
    66 B R
    67 W R
    68 W L
    69 B R
    70 W R
    71 B L
    72 B L
    73 W L
    74 B R
    75 W R
    76 B L
    77 W L
    78 B R
    79 B L
    80 W L
    81 B R
    82 B L
    83 B L
    84 B L
    85 B R
    86 W R
    87 W L
    88 W L
    89 B L
    90 B L
    91 W L
    92 B R
    93 W R
    94 B L
    95 B R
    96 W N
    97 W L
    98 B L
    99 W L
    100 B R
    101 W R
    102 B N
    103 B L
    104 B R
    105 B L
    106 W L
    107 B R
    108 B R
    109 B L
    110 B L
    111 B R
    112 B L
    113 W R
    114 W R
    115 B R
    116 B L
    117 W L
    118 B R
    119 B L
    120 B L
    121 B L
    122 W R
    123 W R
    124 B R
    125 W L
    126 B R
    127 B L
    128 B L
    129 W R
    130 W L
    131 W L
    132 B L
    133 B L
    134 W L
    135 B R
    136 B L
    137 B R
    138 B L
    139 B L
    140 W L
    141 W L
    142 B L
    143 B L
    144 B R
    145 W R
    146 W L
    147 B L
    148 B R
    149 B N
    150 B L
    151 B N
    152 B L
    153 W L
    154 B R
    155 W R
    156 W N
    157 W L
    158 B L
    159 B L
    160 B R
    161 B L
    162 B L
    163 B R
    164 B R
    165 W R
    166 B R
    167 W L
    168 B R
    169 B R
    170 B L
    171 W L
    172 B L
    173 B L
    174 W L
    175 W R
    176 B L
    177 B N
    178 W L
    179 B L
    180 W L
    181 W N
    182 B L
    183 W R
    184 B L
    185 W R
    186 B L
    187 B R
    188 B R
    189 B R
    190 W L
    191 W R
    192 W L
    193 W L
    194 B R
    195 B L
    196 B R
    197 W R
    198 B R
    199 B L
    200 B L
    201 W R
    202 B N
    203 W R
    204 B L
    205 B L
    206 B N
    207 W R
    208 B L
    209 B R
    210 B L
    211 B R
    212 B L
    213 B R
    214 W R
    215 W R
    216 W R
    217 W L
    218 W R
    219 B R
    220 W R
    221 B L
    222 W L
    223 W L
    224 B R
    225 W N
    226 B L
    227 W R
    228 W L
    229 B L
    230 B R
    231 B N
    232 W R
    233 W L
    234 B R
    235 W L
    236 B L
    237 B L
    238 B R
    239 B R
    240 W R
    241 W R
    242 W R
    243 W L
    244 B L
    245 W R
    246 W L
    247 B R
    248 B R
    249 B L
    250 W R
    251 W L
    252 B N
    253 B R
    254 W L
    255 B L
    256 B R
    257 B L
    258 W L
    259 B R
    260 B R
    261 B L
    262 B L
    263 B R
    264 B R
    265 W N
    266 W R
    267 B L
    268 B L
    269 B R
    270 B L
    271 B L
    272 B L
    273 B R
    274 B R
    275 B R
    276 B R
    277 W R
    278 B N
    279 W L
    280 B N
    281 B L
    282 W R
    283 B R
    284 B R
    285 B R
    286 W L
    287 B L
    288 W L
    289 W R
    290 W L
    291 W L
    292 B R
    293 B N
    294 B R
    295 B R
    296 B R
    297 B L
    298 B R
    299 B R
    300 W N
    301 B R
    302 W L
    303 B R
    304 B L
    305 B R
    306 B R
    307 B R
    308 W N
    309 B N
    310 W L
    311 B R
    312 B R
    313 B L
    314 B R
    315 B L
    316 B R
    317 B R
    318 W L
    319 W L
    320 B R
    321 B R
    322 B R
    323 B R
    324 B R
    325 B L
    326 B R
    327 W N
    328 B L
    329 W L
    330 B R
    331 W L
    332 W L
    333 B L
    334 B L
    335 B R
    336 W L
    337 W L
    338 B R
    339 B L
    340 B R
    341 W L
    342 B R
    343 B R
    344 W R
    345 W R
    346 B R
    347 W R
    348 W R
    349 W L
    350 B L
    351 W L
    352 B R
    353 W L
    354 B L
    355 W R
    356 W R
    357 B L
    358 B R
    359 W R
    360 B R
    361 W L
    362 B L
    363 B L
    364 B R
    365 W L
    366 B L
    367 B R
    368 W R
    369 B R
    370 B L
    371 B L
    372 W R
    373 W L
    374 W R
    375 B L
    376 W L
    377 B L
    378 B L
    379 W L
    380 B R
    381 B N
    382 W N
    383 B N
    384 B L
    385 W L
    386 W R
    387 B R
    388 W L
    389 B L
    390 B L
    391 W L
    392 B R
    393 W L
    394 W L
    395 B L
    396 W R
    397 W L
    398 B R
    399 B R
    400 B R
    c. If we restrict our attention to workers who like to drink beer, what is the probability that a randomly selected blue-collar worker prefers to drink light beer?

    © BrainMass Inc. brainmass.com October 10, 2019, 2:18 am ad1c9bdddf
    https://brainmass.com/statistics/conditional-probability-distribution/conditional-probability-371034

    Solution Summary

    The required probabilities are calculated.

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