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LUCKY_DIMON [66]
2 years ago
13

A group of 50 mothers were asked how many children they have. the

Mathematics
2 answers:
Rom4ik [11]2 years ago
7 0

Answer:

0.16

Step-by-step explanation:

A group of 50 mothers were asked how many children they have. the

table shows the results.

number of children     1      2      3     4     5    

number frequency      8     12    10     14    6

What is the experimental probability of a mother having 1

child?

Total number of mothers = 8 + 12 + 10 + 14 + 6 = 50

Number of mothers with 1 child = 8

p(1 child) = 8/50 = 0.16

igor_vitrenko [27]2 years ago
6 0

Answer:

4/25

Step-by-step explanation:

total no of children-15

total no of mothers-50

probability that a mother has i child

1/50

=8/50

=4/25

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Diagonals of a rhombus are perpendicular to each other .

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An elevator has a stated maximum capacity of 12 people or 2004 pounds. If 12 people have weights with a mean greater than (2004/
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Answer:

a) 0.6517; b) 0.9115; c) No

Step-by-step explanation:

For part a, we will use the formula for a z score of an individual:

z=\frac{X-\mu}{\sigma}\\\\=\frac{167-182.9}{40.8}\\\\=\frac{-15.9}{40.8}\approx -0.39

Using a z table, we see that the area under the curve to the left of this value is 0.3483.  However, we want the probability greater than this, which is the area to the right of this value under the curve; this means we subtract from 1:

1-0.3483 = 0.6517

For part b, we will use the formula for a z score of the mean of a sample:

z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}\\\\=\frac{167-182.9}{40.8\div \sqrt{12}}\\\\=\frac{-15.9}{40.8\div 3.4641}\\\\=\frac{-15.9}{11.778}\approx -1.35

Using a z table, we see that the area under the curve to the left of this value is 0.0885.  This means the area under the curve to the right of this value is

1-0.0885 = 0.9115

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The fact that the probability that any 12 men on the elevator will have a mean weight greater than 167, putting their total weight above 2004 pounds, is 91% means the elevator does not have the appropriate limit.  There is a high chance the maximum will be exceeded.

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