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
Your tax is $5.81
Your tip is $14.52
Your total is $92.93
150 jelly beans are most likely to be red
You can multiply both numbers by ten
Answer:
762 raffle tickets
Step-by-step explanation:
16×9.32= 149.12
34×9.32= 316.88
3×9.32= 27.96
4×9.32= 37.28
add them all up= 531.24
531.24-150=381.24
381.24÷.50=762.48
answer: 762 raffle tickets
The answer is D :) II hope that this helps and if you need a bigger description I can help