Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.405 and without a popcorn coupon is 0.595. If you buy 12 movie tickets, we want to know the probability that exactly 2 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.) Do not include 'p

is the probability of a ticket having popcorn coupon

6.02% probability that exactly 2 of the tickets have popcorn coupons.

Step-by-step explanation:

For each movie ticket, there are only two possible outcomes. Either it has a popcorn coupon, or it does not. The probability of a movie ticket having a popcorn coupon is independent of other movie tickets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

If you buy 12 movie tickets, we want to know the probability that exactly 2 of the tickets have popcorn coupons.

So p is the probability of a ticket having popcorn coupon.

The probability of buying a movie ticket with a popcorn coupon is 0.405

So

This probability is P(X = 2) when n = 12. So

6.02% probability that exactly 2 of the tickets have popcorn coupons.

need points to ask question

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.