# Question: a parking management company reported the following information for a...

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A parking management company reported the following information for a sample of 200 customers on the number of hours’ cars are parked and the amount they are charged.

1 | 31 | 3 |

2 | 50 | 6 |

3 | 55 | 8 |

4 | 48 | 10 |

5 | 16 | 12 |

(i) Construct a probability distribution table for the number of hours parked.

(ii) Identify the mean and the standard deviation of the number of hours parked. How long is a typical customer parked?

(iii) How much is a typical customer pay for the parking?

(b) A study showed that women spent an average of 34 hours per week watching TV, and men spent an average of 29 hours per week watching TV. Assume that the distribution of hours watched follows the normal distribution for both groups, and that the standard deviation among the women is 4.5 hours and is 5.1 hours for the men.

(i) What percent of the men watch TV more than 25 hours per week? (4 marKs)

(ii) How many hours of TV do the 1% of women who watch the most TV per week watch? Find the comparable value for the men. (8 marks)