Answer:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The expected value is given by this formula:
For this reason the best option is:
D. E (X )=np
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".
Solution to the problem
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:
The expected value is given by this formula:
For this reason the best option is:
D. E (X )=np
you apply the concept of vertical angles and 180-degree angle
add 43 and 74 to get 117 now subtract it by 180 you get <u>63</u> for angle 1
now since angle 1 and 2 are vertical they are both <u>63</u>
<u></u>
now for angle 3 you add 63 plus 79 is 142 so, we subtract 142 by 180
therefore, angle 3 is <u>38</u> degrees
<u></u>
remember angles cannot be negative at all!
Answer: an OBTUSE angle is larger than 90 degrees but less than 180 degrees
Answer:
y=14
Step-by-step explanation:
solve for y by simplifying both sides of the equation then insolating the variable