What is the product? 3x[-6 -14 -11 -9]
1 answer:
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Answer:
And we can find the individual probabilities like this:
And adding we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
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".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Solution to the problem
Let X the random variable of interest, on this case we know that:
And we want this probability:
And we can find the individual probabilities like this:
And adding we got:
The number of notepads sold will be 17 and the price of each notepad is $2.15
Let's assume, the price of each notepad is X and the number of notepads sold is Y
As the price of each notepad is below $3.00 and over $2.00 , that means
X < 3.00 and X > 2.00
As the number of notepads sold is Y, so the total price of all X number of notepads will be : XY
Here it is given that, the total amount of money from the sale of the pads was $36.55
So, XY = 36.55
⇒ Y =
For X < 3.00 ,
Y > (when X is max, then Y will be min)
⇒ Y > 12.183
and for X > 2.00,
Y < (when X is min, then Y will be max)
⇒ Y < 18.275
As here Y is the number of notepads sold, so the value of Y must be a whole number. The minimum value of Y will be 13 and maximum value will be 18.
Now we will use hit and trial method
If Y= 13 , then X =
If Y= 14 , then X =
If Y= 15 , then X =
If Y= 16 , then X =
If Y= 17 , then X =
and if Y = 18 , then X =
So, for getting XY= 36.55 exactly, the value of X= 2.15 and the value of Y=17.
So, the number of notepads sold will be 17 and the price of each notepad is $2.15