Respuesta :
The mean is 65 inches and the standard
standarddeviation is three (3) inches for the women have heights less than 62 inches. about 97.5% of the women have heights less than 71 inches.
In a set of girls, the distribution of heights is more or less normal. Women who're shorter than sixty two inches in top make up 16% of the population.
The empirical rule, much less than µ - o of 16% of the records is accurate.
- P(x < mu sigma) =16%>
- mu - sigma = sixty two -> (l)
- Approximately 97.5% of the girls are beneathneath seventy one inches in top,
- P(x < mu sigma) =97.5%>
- mu + 2sigma = seventy one (||)By solving (l)& (ll) ;
- mu - sigma = 62
- u + 2sigma = 71
- 3sigma = 9
- sigma = 3
- From (1);
- mu - sigma = 62
- mu - 3 = 62
- mu = 65
- Hence, Mean = 65 inches
- Standard deviation = 3 inches
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