Question

if a courier company has a record of delivering 89 couriers out of 100 on time what is the probability that 5 couriers that person is expecting today will reach is location tomorrow
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Answer 1

Given:

Given that, a courier company delivers 89 couriers out of 100 on time.

To find:

We need to find the probability that 5 couriers of a person will reach the location tomorrow.

Solution:

According to the question, a courier company delivers 89 couriers out of 100 on time.

It means that, 89 couriers are delivered on time and remaining couriers are not delivered on time.

Probability of delivering on time $=\frac{89}{100}$

Probability of delivering not on time $=\frac{11}{100}$

A person is expecting the delivery of 5 couriers tomorrow. It means that, couriers are not delivered on time.

So, probability $=\frac{11}{100} \times \frac{11}{100} \times \frac{11}{100} \times \frac{11}{100} \times \frac{11}{100}$

                        $=\frac{11^5}{100^5}$

                        $=\frac{161051}{10000000000}$

Therefore, the required probability is $\frac{161051}{10000000000}$.

Answer 2

Given : a courier company has a record of delivering 89 couriers out of 100 on time

To Find : probability that 5 couriers that person is expecting today will reach its location tomorrow

Solution:

As such Question lack's information

Hence Assuming  courier  not delivered on time will reach by next day

Probability of courier reaching at time = 89/100

Probability of courier reaching not at time = 1 -  89/100  = 11/100

As per assumption Probability of courier reaching next day  = 11/100

Probability 5 courier will reach tomorrow = (11/100)⁵

= 1,61,051 x 10⁻¹⁰

= 0.0000161051

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