Answer:
The value is
Step-by-step explanation:
From the question we are told that
The probability of the device failing during the warranty period is 
The sample size is 
The random variable considered is x = 15
Generally this is distribution is binomial given the fact that there is only two out comes hence
X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

Now the mean is mathematically evaluated as

=> 
=> 
The standard deviation is mathematically represented as

=> 
=> 
Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution
So
Now applying Continuity Correction we have

Generally 

From the z-table

Thus
There are 22 roses in the vase
probability of first selecting a red rose = 8/22 = 4/11
P( second one is red) = 7/21 = 1/3
these probabilities are multiplied because the individual picks are independent
so the answer is 4/11 * 1/4 = 4/33
Answer:
5 pi/12
Step-by-step explanation:
To change degrees to radians, multiply by pi/180
75* pi/180
divide the top and bottom by 15
5 pi/12
You use the formula given and it usually involves dividing