Problem 7RE

Brand Recognition In a study of brand recognition of the Kindle eReader, four consumers are interviewed. If x is the number of consumers in the group who recognize the Kindle brand name, then x can be 0, 1, 2, 3, or 4. If the corresponding probabilities are 0.026, 0.154, 0.346, 0.246, and 0.130, does the given information describe a probability distribution? Why or why not?

x |
P(x) |

0 |
0.674 |

1 |
0.280 |

2 |
0.044 |

3 |
0.003 |

4 |
0+ |

Answer :

Step 1 :

The sum of the probabilities should be equal to one.

Hence, 0.026 + 0.154 + 0.346 + 0.246 + 0.13 = 0.902

Which is not equal to one.

The given information does not describe a probability distribution.