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Mice21 [21]
1 year ago
10

The XO Group Inc. conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of

a wedding is $29,858 (XO Group website, January 5, 2015). Assume that the cost of a wedding is normally distributed with a mean of $29,858 and a standard deviation of $5600.
a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)?
b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)?
c. For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)?
Mathematics
1 answer:
Maru [420]1 year ago
7 0

Answer:

0.0392,0.4709, 38083

Step-by-step explanation:

Given that XO Group Inc. conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $29,858

X is N(29,858, 5600)

Or Z=\frac{x-29158}{5600} is N*(0,1)

We can use std normal distribution table to get the probabilities

a) The probability that a wedding costs less than $20,000 (to 4 decimals)

= P(X

=0.0392

b) the probability that a wedding costs between $20,000 and $30,000

=0.5101-0.0392\\=0.4709

c) For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)

=29858+1.645*5600\\=38083

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complete question:

A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?

Answer:

The ship heading north traveled for 3 hours

Step-by-step explanation:

A ship travels for a total of 85 miles over the course of 5 hours journey. The speed of the journey can be calculated below.

speed = distance/time

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total time = 5 hours

speed = 85/5

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West direction

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speed = distance/time

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let

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time travel north = 5 - a

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distance = 95 - 19a

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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