Answer:
Step-by-step explanation:
Let X be the no of customers who purchase atleast one item.
X is binomial since there are two outcomes and each customer is independent of the other.
a) Here n =10
Out of 10 customers we expect np = 3 customers to buy at least one item.
b) exactly 3 of the customers would purchase at least one item
=
c) the probability that no more than 3 customers would purchase at least one item
=
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:
0.125 = 12.5% probability of observing exactly 3 tails.
More can be learned about the binomial distribution at brainly.com/question/24863377
Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a
2x^2 - 3x = 12
2x^2 - 3x - 12 = 0
a = 2
b = -3
c = -12
(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)
3 +/- sqrt( 9 + 96 ) / 4
3 +/- sqrt(105) / 4
Answers: ,
Hope this helps!