Question

The table gives the probability distribution of the number of books sold in a day at a bookstore. What is the probability of 16 or more books being sold on a given day?

number of books sold in a day

0-5

6-10

11-15

16-20

21-25

probability

0.110

0.206

0.464

0.201

?

Answer 1

We are to find the probability of 16 or more books being sold on a given day. So all the categories listing the sale of more than 16 books will be counted for this problem.

From the given table we can see that there are 2 such categories:

1) 16 - 20
2) 21 - 25

To find the probability of 16 or more books sold , we need to add the probability of both these categories. Probability of selling 16 - 20 books is 0.201 and probability of selling 21 - 25 books is unknown. The given distribution is a probability distribution. So sum of probabilities of all categories must be equal to 1. So, the probability of selling 21-25 books is 0.019 only then the probabilities sum up to 1.

Thus, 
The probability that 16 or more books are sold on a give day = 0.201 + 0.019 = 0.220

Answer 2

The probability of 16 or more books being sold on a given day is 0.22 or 22%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The table gives the probability distribution of the number of books sold in a day at a bookstore.

The missing probability will be

We know that the sum of all the outcomes must be one.

0.110 + 0.206 + 0.464 + 0.201 + x = 1

On solving, we have

x = 0.019

The number of books sold in a day                 Probability

                         0-5                                                0.110

                         6-10                                              0.206

                        11-15                                               0.464

                       16-20                                              0.201

                       20-25                                              0.019

The probability of 16 or more books being sold on a given day will be

$\rm P(x \geq 16) = 0.201 + 0.019 = 0.22$

The probability of 16 or more books being sold on a given day is 0.22 or 22%.

More about the probability link is given below.

https://brainly.com/question/795909