Final answer:
In this case, The maximum value in this range is 12 girls.
Step-by-step explanation:
To determine if 1 girl in 10 births is a significantly low number of girls, we can use the range rule of thumb. This rule states that for a roughly bell-shaped distribution, the range can be estimated as six times the standard deviation.
To calculate the range, we need to find the standard deviation.
We can use the formula for the standard deviation of a discrete probability distribution:
Standard Deviation = √(∑(x - μ)² * P(x))
Where x represents the values of the random variable, μ represents the mean, and P(x) represents the probability of each value.
We can calculate the mean as:
Mean (μ) = ∑(x * P(x))
Using the values given in the table:
Mean (μ) = (0 * 0.006) + (1 * 0.014) + (2 * 0.038) + (3 * 0.112) + (4 * 0.196) + (5 * 0.247) + (6 * 0.208) + (7 * 0.115) + (8 * 0.039) + (9 * 0.018) + (10 * 0.007)
Mean (μ) = 4.5
Next, we can calculate the standard deviation:
Standard Deviation = √((0 - 4.5)² * 0.006 + (1 - 4.5)² * 0.014 + (2 - 4.5)² * 0.038 + (3 - 4.5)² * 0.112 + (4 - 4.5)² * 0.196 + (5 - 4.5)² * 0.247 + (6 - 4.5)² * 0.208 + (7 - 4.5)² * 0.115 + (8 - 4.5)² * 0.039 + (9 - 4.5)² * 0.018 + (10 - 4.5)² * 0.007)
Standard Deviation ≈ 2.005
Now, we can calculate the range:
Range = 6 * Standard Deviation
Range ≈ 6 * 2.005
Range ≈ 12.03
Therefore, using the range rule of thumb, a range of values that are not significantly low would be up to 12 girls.
Your question is incomplete, but most probably the full question was:
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable × represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. Click the icon to view the table.
Use the range rule of thumb to identify a range of values that are not significant.
The maximum value in this range is _____girls.
Probability Distribution for x
number of Girls x P(x)
0 0.006
1 0.014
2 0.038
3 0.112
4 0.196
5 0.247
6 0.208
7 0.115
8 0.039
9 0.018
10 0.007