Answer:

And we can find the individual probabilities like this:
And adding we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want to find this probability:

And we can find the individual probabilities like this:
And adding we got:

Answer:
Cube - 600 Rectangular Prism - 350
Step-by-step explanation:
Cube - A=6a^2
Rectangular Prism - A=2(wl+hl+hw)
Answer:
1080"
Step-by-step explanation:
12*10= 120
120*9= 1080
Answer:
P(X=0)=0.000008
P(X=1)=0.00176
P(X=2)=0.057624
P(X=3)=0.941192
Step-by-step explanation:
Probability of correct classification = p = 0.98
Probability of incorrect classification = q = 1 - p = 0.02
The probability of success and failure is the same for all the trials. The trials are independent of each other and the number of trials is fixed i.e. n = 3.
This satisfies all the conditions of a Binomial Experiment. So we can use Binomial experiment to model the probability mass function.
The general formula of a binomial probability is:

Here x denote the number of successes, which can be {0, 1, 2, 3}. So we need to evaluate the above equation for each value of x to determine the probability Mass function of X, as shown below:

Answer:
14.77
Step-by-step explanation:
Are you not able to use a calc? I can sketch out the long division if you need it!