Answer: 22.0.6%
Step-by-step explanation:
Given : According to a human modeling project, the distribution of foot lengths of women is approximately Normal with 
and 
.
In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long.
Then, the probability that women in the United States will wear a size 6 or smaller :-
![P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%](https://tex.z-dn.net/?f=P%28x%5Cleq22.4%29%3DP%28z%5Cleq%5Cdfrac%7B22.4-23.4%7D%7B1.3%7D%29%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%5Capprox%20P%28z%5Cleq-0.77%29%5C%5C%5C%5C%3D1-P%28z%5Cleq0.77%29%5C%5C%5C%5C%3D1-0.77935%3D0.2206499%5Capprox0.2206%3D22.06%5C%25)
Hence, the required answer = 22.0.6%
Answer:
wn work
Step-by-step explanation:
The sample std. dev. will be (14 inches) / sqrt(49), or (14 inches) / 7, or 2 inches.
Find the z score for 93.8 inches:
93.8 inches - 91.0 inches 2.8 inches
z = ------------------------------------- = ----------------- = 1.4
2 inches 2 inches
Now find the area under the standard normal curve to the left of z = +1.4.
My calculator returns the following:
normalcdf(-100,1.4) = 0.919. This is the probability that the mean annual precipitation during those 49 years will be less than 93.8 inches.
Answer:
The given expression 
Step-by-step explanation:
Here, the given expression is: 
Now, starting from the outer most bracket.
As we know :
and 
⇒ 
Hence, the given expression
