Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Calculate P(at least one valve opens).
This is 
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:
So
Finally
There is a 99.99998% probability that at least one valve opens.
What are the numbers x and y are sopposed to be?
7 pounds
Hope this helps!
<span>Percent of discount is 25% and the sale price is 40$ what is the original amount? $160
percent of discount is 5% and the sale price is 57$ what is the original amount? $60
percent of discount is 80% and the sale price is 90$ what is the original amount? $112.5
percent of discount is 15% and the sale price is 146.54$ what is the original
amount? $976.93
the original price is 60$ and the sale price is 45$ what is the percent of discount? 25%
original price is 82$ and the sale price is 65.60$ what is the percent of discount? 20%
original price is 95$ and the sale price is 61.75$ what is the percent of discount? 35%</span>
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714
B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
