Answer:
a) 0.1587
b) 0.0475
c) 0.7938
Step-by-step explanation:
Let's start defining our random variable.
X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''
X is modeled as a normal random variable.
X ~ N(μ,σ)
Where μ is the mean and σ is the standard deviation.
To calculate all the probabilities, we are going to normalize the random variable X.
We are going to call to the standard normal distribution ''Z''.
[(X - μ) / σ] ≅ Z
We normalize by subtracting the mean to X and then dividing by standard deviation.
We can find the values of probabilities for Z in a standard normal distribution table.
We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''
a)

Φ(-1) = 0.1587
b)


1 - Φ(1.666) = 1 - 0.9525 = 0.0475
c)

Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938
Answer:
2^5
explanation:
I did this already man this is easy
Answer:
explain what you need help about then i will try to help you
Step-by-step explanation:
Answer:
![\sqrt[4]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E3%7D)
Step-by-step explanation:
First, let's examine our original statement.

Using exponent rules, we know that if we have
, then simplified, the answer will be equivalent to
.
So we can simplify this by adding the exponents
and
.
Converting
into fourths gets us
.
.
So we now have
.
When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.
Basically, this becomes
. (The numerator is what we raise x to the power of, the denominator is the root we take of that).
Hope this helped!