Answer:
a)
b)
And we can use the complement rule and we got:
And replacing we got:
c)
d)
e)
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:
Part a
We want this probability:
And using the probability mas function we got:
Part b
We want this probability:
And we can use the complement rule and we got:
And replacing we got:
Part c
We want this probability:
Part d
the expected value is given by:
Part e
The standard deviation is given by:
Answer:
2nd one down
Step-by-step explanation:
If one serving is 1/2 a pound and the recipe uses 3/4, then the recipe must be multiplied by 1 1/3 to make 1 pound of chicken - 2 servings
Answer:
For this case we have the following quadratic equation:
Where,
t: time
s: height of the ball
By the time the height is 20 feet we have:
Rewriting the polynomial we have:
Using the quadratic formula we have:
Substituting values we have:
Doing the calculations we have the roots are:
Answer:
the time when the football will be 20ft above the ground is:
B) 0.73 seconds or 1.46 seconds
Step-by-step explanation:
The ratio is 1 to 3. Hope this helped