Question

If the skulls are classified as A,B,C according as the length below the index is 75, between 75and 80, over 80. find appropriate (assuming distribution is normal) . the mean and standard deviation of a service in which A are 58%, B are 38% ,C are 4% being given that the probability density function than f(.20)=.08,f(1.75)=0.46​

Answer 1

Conclusion

THE NORMAL DISTRIBUTION

The normal distribution is a very important continuous probability distribution. It is useful in a variety of situations where inferences must be drawn from samples. The normal distribution approximates actual observed frequency distributions of Many phenomena, including human characteristics (weights, heights, and IQs), are produced as a result of physical process (dimensions and yields) and other managerially relevant measures in both the government and the private sector

Main Solution

Let M be the mean & $\sigma$ be the S.d. according  to the given condition area between t = 0 & t = 0.20 is is 0.08 so that the area to the left is 0.5 + 0.08

Which corresponds to X = 75

$t = \frac{75-\mu}{\sigma} = 0.20 ------1\\t = \frac{80-\mu}{\sigma} = 1.75 ------2\\75 - \mu = 0.20 \sigma\\\frac{-80 = \mu=1.75 \sigma}{-5=1.55 \sigma}\\ \frac{5}{1.55}= \sigma\\ \sigma = 3.2\\75-0.20 \times 3.2 = \mu\\\mu = 75 - 0.644\\\mu = 75.35$

To learn more about NORMAL DISTRIBUTION

https://brainly.in/question/42738418

#SPJ2