Question

Che 7 Let X be normally distributed with mean 29 and standard deviation ơ 14. [You may find it useful to reference the ztable a. Find PXs . (Round "z value to 2 decimal places and final answer to 4 decimal places.) 10 Print References b. Find RX> 15)·(Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P8 s Xs 22) (Round " value to 2 decimal places and final answer to 4 decimal places.) < Prev 7 of 12 Next>

Answer 1

Given,

$\mu ~= 29 ~and~~ \sigma~= 14$

Firstly we will standardize values,

So,

Therefore,

we obtained probabilities are :

(a) $P(X <_= 1) ~=~ 0.0228$

(b) $P(X > 15) ~=~ 0.3632$

(c) $P(8<_=X <_= 22) ~=~ 0.2417$

All values are from Z - table.