Question

# The accompanying data table describes results from groups of 10 births from 10 different sets of...

The accompanying data table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Complete the questions below.

x   P(x)
0   0.002
1   0.016
2   0.037
3   0.114
4   0.201
5   0.238
6   0.198
7   0.113
8   0.045
9   0.014
10   0.022

The maximum usual value is (Round to one decimal place as​ needed.)

The minimum usual value is (Round to one decimal place as​ needed.)

Based on the​ result, is 1 girl in 10 births an unusually low number of​ girls?

A. No, 1 girl is not an unusually low number of​ girls, because 1 girl is less than the minimum usual value.

B.Yes, 1 girl is an unusually low number of​ girls, because 1 girl is outside of the range of usual values.

C.Yes, 1 girl is an unusually low number of​ girls, because 1 girl is less than the maximum usual value.

D. Not enough information is given.

The table for calculation is:

Hence,

Mean = = 5.111

Standard deviation = = 1.764

Therefore,

Maximum usual value = Mean + 2*SD = 5.111 + 2*1.764 = 8.6

Minimum usual value = Mean - 2*SD = 5.111 - 2*1.764 = 1.6

Yes, 1 girl is an unusually low number of​ girls, because 1 girl is outside of the range of usual values. Option B is correct.

#### Earn Coins

Coins can be redeemed for fabulous gifts.